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Encyclopedia results for Artin L function

Artin L function





Encyclopedia results for Artin L function

  1. Artin L-function

    In mathematics , an Artin L function is a type of Dirichlet series associated to a linear representation .... Cf. Hasse Weil L function for a similar situation. ref The Artin L function math L rho,s math ... function splits into a product of Artin L functions, for each irreducible representation of G . For example ... representation of degree 2, an Artin L function for such a representation occurs, squared, in the factorisation ... The Artin conjecture on Artin L functions states that the Artin L function L , s of a non trivial irreducible ... for Dirichlet L function s. More generally Artin showed that the Artin conjecture is true for all ... representation if the Galois representation is irreducible, such that the Artin L function of the Galois representation is the same as the automorphic L function of the automorphic representation. The Artin .... See also Equivariant L function Notes Reflist group note References Cite journal first E. last Artin ... Artin L Function Category Zeta and L functions Category Class field theory es Funci n L de ... non abelian class field theory is to incorporate the complex analytic nature of Artin L functions ... G math is the Galois group of the finite extension math L K math of number fields, the Artin math L math function math L rho,s math is defined by an Euler product . For each prime ideal math mathfrak ... L function Dirichlet L function s when K is the rational number field, and as Hecke L function Hecke L function s in general . Novelty comes in with abelian group non abelian G and their representations ... zeta function for the trivial representation and an L function of Dirichlet s type for the signature representation. Functional equation Artin L functions satisfy a functional equation L function functional equation . The function L s , is related in its values to L 1 &minus s , , where denotes ... L function on each side. It is, algebraically speaking, the case when is a real representation ... Artin L Functions A Historical Approach by N. Snyder. Citation last1 Artin first1 Emil author1 link ...   more details



  1. Artin?Mazur zeta function

    In mathematics , the Artin&ndash Mazur zeta function , named after Michael Artin and Barry Mazur , is a tool for studying the iterated function s that occur in dynamical systems and fractals . It is defined as the formal power series math zeta f z exp sum n 1 infty textrm card left textrm Fix f n right frac z n n , math where Fix &fnof sup   n sup is the set of Fixed point mathematics fixed point s of the n th iterate of an iterated function &fnof , and card Fix &fnof sup   n sup is the cardinality of this set of fixed points. Note that the zeta function is defined only if the set of fixed points is finite. This definition is formal in that it does not always have a positive radius of convergence . The Artin&ndash Mazur zeta function is invariant under topological conjugation . The Milnor Thurston kneading theory Milnor&ndash Thurston theorem states that the Artin&ndash Mazur zeta function is the inverse of the kneading determinant of &fnof . Analogues The Artin&ndash Mazur zeta function is formally similar to the local zeta function , when a diffeomorphism on a compact manifold replaces the Frobenius mapping for an algebraic variety over a finite field . The Ihara zeta function of a graph can be interpreted as an example of the Artin&ndash Mazur zeta function. See also Lefschetz number Lefschetz zeta function Lefschetz zeta function References Citation doi 10.2307 1970384 last1 Artin first1 Michael author1 link Michael Artin last2 Mazur first2 Barry author2 link Barry Mazur title On periodic points mr 0176482 year 1965 journal Annals of Mathematics Annals of Mathematics. Second Series issn 0003 486X volume 81 pages 82 99 issue 1 publisher Annals of Mathematics jstor 1970384 David Ruelle , http www.maths.ex.ac.uk mwatkins zeta ruelle.pdf Dynamical Zeta Functions and Transfer Operators 2002 PDF Category Zeta and L functions Category Dynamical systems Category Fixed points de Artin Mazursche Zeta Funktion es Funci n zeta de Artin Mazur eo Funkcio de Artin Mazur ...   more details



  1. L-function

    be regarded as complementary to it Langlands work relates largely to Artin L function Artin L function s, which, like Hecke L function Hecke s L functions , were defined several decades earlier, and to L ... to the complex plane which is called an L function . In the classical cases, already, one knows that useful information is contained in the values and behaviour of the L function at points where the series representation does not converge. The general term L function here includes many known types ... that one would wish to see generalized location of zeros and poles functional equation L function functional equation L function , with respect to some vertical line Re s constant interesting values ... for p adic L function p adic L function s, which describe certain Galois module s. The statistics of the zero ... research programs. See also Generalized Riemann hypothesis Dirichlet L function Modularity theorem Artin conjecture L functions Artin conjecture Special values of L functions References Neukirch ANT ... a breakthrough third degree transcendental L function revealed, Physorg.com , March 13, 2008 http www.sciencenews.org ... , Science News, April 2, 2008 http www.physorg.com news137248087.html Hunting the elusive L function DEFAULTSORT L Function Category Zeta and L functions de L Funktion es Funci n L fr Fonction L it Funzione ...The theory of L functions has become a very substantial, and still largely conjectural , part of contemporary analytic number theory . In it, broad generalisations of the Riemann zeta function and the Dirichlet L function L series for a Dirichlet character are constructed, and their general properties, in most cases still out of reach of proof, are set out in a systematic way. L functions We should distinguish at the outset between the L series , an infinite series representation for example the Dirichlet series for the Riemann zeta function , and the L function, the function in the complex plane that is its analytic continuation . The general constructions start with an L series, defined first ...   more details



  1. Equivariant L-function

    In algebraic number theory , an equivariant Artin L function is a function associated to a finite Galois extension of global field s created by packaging together the various Artin L function s associated with the extension. Each extension has many traditional Artin L functions associated with it, corresponding to the group character character s of Representation mathematics representations of the Galois group. By contrast, each extension has a unique corresponding equivariant L function. Equivariant L functions have become increasingly important as a wide range of conjectures and theorems in number theory have been developed around them. Among these are the Brumer&ndash Stark conjecture , the Coates Sinnott conjecture , and a recently developed equivariant Iwasawa conjecture equivariant version of the Iwasawa main conjecture main conjecture in Iwasawa theory . unreferenced date January 2011 Category Field theory Category Algebraic number theory Category Zeta and L functions numtheory stub ...   more details



  1. Artin

    Artin may refer to Artin, a Chinese manufacturer of 1 64, 1 43, and 1 32 scale slot cars and track The name of a king in the Median Empire , still in use among modern Kurds, Armenians, and Iranians today Emil Artin , was an Austrian mathematician Michael Artin , is an American mathematician, son of Emil Artin Paul Boghossian Paul Artin Boghossian given name Artin surname Artin Category Armenian given names name stub surname stub de Artin es Artin fr Artin it Artin nl Artin pt Artin ...   more details



  1. Motivic L-function

    of the motive. ref Examples Basic examples include Artin L function Artin L functions and Hasse Weil L functions. It is also known harv Scholl 1990 , for example, that a motive can be attached to a newform i.e. a primitive cusp form , hence their L functions are motivic. Conjectures Several conjectures exist concerning motivic L functions. It is believed that motivic L functions should all arise as automorphic L function automorphic L functions , ref harvnb Langlands 1980 ref and hence should be part of the Selberg class . There are also conjectures concerning the values of these L functions at integers generalizing those known for the Riemann zeta function , such as Deligne s conjecture L functions Deligne s conjecture on special values of L functions , the Beilinson conjecture , and the Bloch Kato conjecture L functions Bloch Kato conjecture on special values of L functions . Notes reflist ...In mathematics , motivic L functions are a generalization of Hasse Weil L function Hasse Weil L functions to general motive algebraic geometry motives over global field s. The local L factor at a finite ... realization of the motive. It is conjectured that, like other L function L functions , that each motivic L function can be analytic continuation analytically continued to a meromorphic function on the entire complex plane and satisfies a functional equation relating the L function L s ,  M of a motive M to nowrap L 1 &minus s , M sup sup , where M sup sup is the dual of the motive M . ref Another common normalization of the L functions consists in shifting the one used here so that the functional ... fontions L et p riodes d int grales contribution url http www.ams.org online bks pspum332 pspum332 ptIV 8.pdf title Automorphic Forms, Representations, and L Functions editor last Borel editor first ... first Robert P. author link Robert Langlands contribution L functions and automorphic representations ... www.numdam.org item?id SDPP 1969 1970 11 2 A4 0 L functions footer Category Zeta and L functions Category ...   more details



  1. Dirichlet L-function

    Generalized Riemann hypothesis L function Modularity theorem Artin conjecture L functions Artin ...In mathematics , a Dirichlet L series is a function of the form math L s, chi sum n 1 infty frac chi .... By analytic continuation , this function can be extended to a meromorphic function on the whole complex plane , and is then called a Dirichlet L function and also denoted L s , . These functions are named ... s 1 similar to that of the Riemann zeta function are known to exist for all Dirichlet L functions. Just as the Riemann zeta function is conjectured to obey the Riemann hypothesis , so the Dirichlet L ... character is completely multiplicative , its L function can also be written as an Euler product in the half plane of absolute convergence math L s, chi prod p left 1 chi p p s right 1 text for text ... math Lambda s, chi left frac pi k right s a 2 Gamma left frac s a 2 right L s, chi , math where denotes the Gamma function and the symbol a is given by math a begin cases 0 & mbox if chi 1 1, 1 & mbox if chi 1 1, end cases math one has the functional equation L function functional equation math ... zeta function The Dirichlet L functions may be written as a linear combination of the Hurwitz zeta function Hurwitz zeta function at rational values. Fixing an integer k 1, the Dirichlet L functions ... modulo k . Then we can write its Dirichlet L function as math L s, chi sum n 1 infty frac chi ... that also bears his name. In the course of the proof, Dirichlet shows that Nowrap L s , is non zero at s 1. Moreover, if is principal, then the corresponding Dirichlet L function has a simple pole at s 1. Zeros of the Dirichlet L functions If is a primitive character with &minus 1 1, then the only zeros of L s , with Re s 0 are at the negative even integers. If is a primitive character with &minus 1 &minus 1, then the only zeros of L s , with Re s 0 are at the negative odd integers ... m k and m 1, 2, ..., k . This means that the Hurwitz zeta function for rational q has analytic properties ...   more details



  1. Hecke L-function

    In mathematics, a Hecke L function may refer to an L function of a modular form an L function of a Hecke character . Mathematics disambiguation ...   more details



  1. Standard L-function

    In mathematics, the term standard L function refers to a particular type of automorphic L function described by Robert P. Langlands . ref Armand Borel, Automorphic L functions , Proc. Symp. Pure Math 33, American Mathematical Society, 1979, A. Borel and W. Casselman, editors. ref Here, standard refers to the finite dimensional representation r being the standard representation of the Langlands dual L group as a matrix group. Relations to other L functions Standard L functions are thought to be the most general type of L function . Conjecturally, they include all examples of L functions, and in particular are expected to coincide with the Selberg class . Furthermore, all L functions over arbitrary number field s are widely thought to be instances of standard L functions for the general linear group GL n over the rational numbers Q. This makes them a useful testing ground for statements about L functions, since it sometimes affords structure from the theory of automorphic form s. Analytic properties These L functions were proven to always be entire by Roger Godement and Herv Jacquet , ref Roger Godement and Herve Jacquet, Zeta functions of simple algebras , Springer Lecture Notes in Mathematics, volume 260, 1972. ref with the sole exception of Riemann zeta function Riemann function , which arises for n     1. Another proof was later given by Freydoon Shahidi using the Langlands Shahidi method see ref Stephen Gelbart and Freydoon Shahidi, Analytic Properties of Automorphic L functions , Academic Press, New York, 1988. ref for a useful broader discussion . References reflist Category Zeta and L functions ...   more details



  1. Functional equation (L-function)

    Unreferenced date December 2009 In mathematics , the L function s of number theory are expected to have several characteristic properties, one of which is that they satisfy certain functional equation ... field . There is a similar equation for the Dirichlet L function s, but this time relating them in pairs ... sup sup its complex conjugate, the L function multiplied by a gamma factor, and a complex number ... been brought to quite a refined state, even if proofs are missing. See also explicit formula L function approximate functional equation DEFAULTSORT Functional Equation L Function Category Zeta and L functions Category Functional equations fr quation fonctionnelle fonction L ja pt Equa o funcional fun o L .... For example, the Riemann zeta function has a functional equation relating its value at the complex ... . Therefore use of the functional equation is basic, in order to study the zeta function in the whole complex plane . The functional equation in question for the Riemann zeta function takes the simple form math Z s Z 1 s math where Z s is s multiplied by a gamma factor , involving the gamma function . This is now read as an extra factor in the Euler product for the zeta function, corresponding to the infinite prime . Just the same shape of functional equation holds for the Dedekind zeta function ... from . This equation has the same function on both sides if and only if is a real character ... is always 1, so no such simple zero can exist the function is even about the point . A unified theory ... s, for which his proof based on theta function s also worked. These characters and their associated L functions are now understood to be strictly related to complex multiplication , as the Dirichlet characters are to cyclotomic field s. There are also functional equations for the local zeta function ... products of the Hasse Weil zeta function for an algebraic variety V over a number field K ...   more details



  1. P-adic L-function

    DISPLAYTITLE p adic L function In mathematics , a p adic zeta function , or more generally a p adic L function , is a function analogous to the Riemann zeta function , or more general L function L functions , but whose domain of a function domain and codomain target are p adic where p is a prime number ... adic number p adic numbers Q sub p sub or its algebraic closure . The source of a p adic L function ... Leopoldt gave the first construction of a p adic L function harv Kubota Leopoldt 1964 &mdash is via the p adic interpolation of special values of L functions special values of L functions . For example, Kubota Leopoldt used Kummer s congruence s for Bernoulli number s to construct a p adic L function, the p adic Riemann zeta function sub p sub s , whose values at negative odd integers are those of the Riemann zeta function at negative odd integers up to an explicit correction factor . p adic L functions arising in this fashion are typically referred to as analytic p adic L functions . The other major source of p adic L functions&mdash first discovered by Kenkichi Iwasawa &mdash is from the arithmetic ... of cyclotomic fields or even more general towers. A p adic L function arising in this way is typically called an arithmetic p adic L function as it encodes arithmetic data of the Galois module involved ... that the Kubota Leopoldt p adic L function and an arithmetic analogue constructed by Iwasawa ... The Dirichlet L function is given by the analytic continuation of math L s, chi sum n frac chi n n s prod p text prime frac 1 1 chi p p s math The Dirichlet L function at negative integers is given ... p adic L function L sub p sub s ,  interpolates the Dirichlet L function with the Euler factor at p removed. More precisely, L sub p sub s ,&chi is the unique continuous function of the p ... integers n divisible by p &minus 1. The right hand side is just the usual Dirichlet L function, except ... p adic L functions are constructed or expected , the statement that they agree is called the main ...   more details



  1. Automorphic L-function

    In mathematics, an automorphic L function is a function L s , , r of a complex variable s , associated ... are 1. General linear groups harvtxt Godement Jacquet 1972 constructed the automorphic L functions for general linear groups with r the standard representation so called standard L function s and verified ... representation r of the Langlands dual group sup L sup G of G , generalizing the Dirichlet L series ... 1979 and harvtxt Arthur Gelbart 1991 gave surveys of automorphic L functions. Properties Automorphic L functions should have the following properties which have been proved in some cases but are still conjectural in other cases . The L function L s , , r should be a product over the places v of F of local L functions. L s , , r L s , sub v sub , r sub v sub Here the automorphic representation sub v sub is a tensor product of the representations sub v sub of local groups. The L function is expected to have an analytic continuation as a meromorphic function of all complex s , and satisfy a functional equation L s , , r s , , r L 1 s , , r sup &or sup where the factor s , , r is a product ... in Tate s thesis . The Langlands functoriality conjectures imply that all automorphic L functions are equal to L functions of general linear groups, so this would prove the analytic continuation and functional ... editor1 last Coates editor1 first John editor2 last Taylor editor2 first M. J. title L functions ... CBO9780511526053.003 mr 1110389 year 1991 volume 153 chapter Lectures on automorphic L functions pages ..., representations and L functions Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977 ... year 1979 volume XXXIII chapter Automorphic L functions pages 27 61 Citation last1 Cogdell first1 James W. last2 Kim first2 Henry H. last3 Murty first3 Maruti Ram title Lectures on automorphic L functions ... Stephen title Explicit constructions of automorphic L functions publisher Springer Verlag location ... year 1971 Category Automorphic forms Category Zeta and L functions Category Langlands program ...   more details



  1. Artin conductor

    level in the Serre modularity conjecture is expressed in terms of the Artin conductor. The Artin conductor appears in the functional equation of the Artin L function . References Citation last1 Artin first1 Emil author1 link Emil Artin title Zur Theorie der L Reihen mit allgemeinen Gruppencharakteren ... representation of G over the l adic integers with character the Swan character. Applications The Artin ...In mathematics, the Artin conductor is a number or ideal ring theory ideal associated to a character of a Galois group of a local or global field mathematics field , introduced by harvs txt last Artin authorlink Emil Artin year1 1930 year2 1931 as an expression appearing in the functional equation of an Artin L function . Local Artin conductors Suppose that L is a finite Galois extension of the local field K , with Galois group G . If is a character of G , then the Artin conductor of is the number ... Artin conductors The global Artin conductor is an ideal associated to a representation of the Galois group G of a finite extension L K of global fields. It is defined to be math prod p p f chi,p math where the product is over the primes p of K , and f , p is the local Artin conductor of the restriction of to the decomposition group of some prime of L lying over p . Artin representation and Artin character Suppose that L is a finite Galois extension of the local field K , with Galois group  G . The Artin character a sub G sub of G is the character math a G sum chi f chi chi math and the Artin ... Weil 1946 asked for a direct construction of the Artin representation. harvs txt last Serre year 1960 showed that the Artin representation can be realized over the local field Q sub l sub , for any prime l not equal to the residue characteristic p . harvtxt Fontaine 1971 showed that it can be realized ... or over the local field Q sub p sub , suggesting that there is no easy way to construct the Artin ... Hamburg volume 8 pages 292 306 Citation last1 Artin first1 Emil author1 link Emil Artin title Die ...   more details



  1. Artin conjecture

    In mathematics, there are several conjectures made by Emil Artin Artin conjecture L functions Artin s conjecture on primitive roots The now proved conjecture that finite fields are quasi algebraically closed see Chevalley Warning theorem . The now disproved conjecture that any algebraic form over the p adics of degree d in more than d sup 2 sup variables represents zero. For this see Ax Kochen theorem or Brauer s theorem on forms . Artin had also conjectured Hasse s theorem on elliptic curves disambig DEFAULTSORT Artin Conjecture Category Analytic number theory Category Algebraic number theory Category Conjectures fr Conjecture d Artin ...   more details



  1. Michael Artin

    Infobox scientist name Michael Artin image Michael Artin.jpg image size 225px caption Michael Artin photo by George Bergman birth date Birth year and age 1934 birth place Hamburg , Germany death date death place nationality United States American fields Mathematics workplaces Massachusetts Institute of Technology MIT alma mater Harvard University br Princeton University doctoral advisor Oscar Zariski doctoral students Eric Friedlander br David Harbater br Rick Miranda br Zinovy Reichstein known for awards Harvard Centennial Medal 2005 br Leroy P. Steele Prizes Steele Prize 2002 Michael Artin born 1934 is an United States American mathematician and a professor emeritus in the Massachusetts Institute of Technology MIT Mathematics Department mathematics department , known for his contributions to algebraic geometry . ref name profile http math.mit.edu people profile.php?pid 9 Faculty profile ... professors in his field. Artin was born in Hamburg , Germany , and brought up in Indiana . Citation needed date January 2011 His father was Emil Artin , preeminent algebraist of the 20 th ... 1960s Artin spent time at the IH S in France , contributing to the SGA4 volumes of the S minaire de ... the representable functor s in the category of schemes has led to the Artin approximation theorem ... ring s, especially geometric aspects. Citation needed date January 2011 In 2002, Artin won the American ... for Industrial and Applied Mathematics . ref name profile See also Algebraic stack Artin stacks Artin stacks Artin Mazur zeta function Artin Verdier duality References Reflist Persondata Metadata see Wikipedia Persondata . NAME Artin, Michael ALTERNATIVE NAMES SHORT DESCRIPTION PLACE OF BIRTH Hamburg , Germany DATE OF DEATH PLACE OF DEATH date of birth 1934 DEFAULTSORT Artin, Michael Category Members ... of the American Mathematical Society de Michael Artin fr Michael Artin it Michael Artin ht Michael Artin nl Michael Artin sk Michael Artin ...   more details



  1. Emil Artin

    He left two conjectures, both known as Artin s conjecture . The Artin conjecture L functions first concerns Artin L function s for a linear representation of a Galois group and the Artin s conjecture ... field theory and a new construction of L function s. He also contributed to the pure theories ... on primitive roots Artin conjecture L functions Artin conjecture on L functions Artin Schreier ...Refimprove date April 2011 Infobox scientist name Emil Artin image Emil06aa.jpg birth date Birth date ... Artin March 3, 1898 December 20, 1962 was an Austria n People of the United States American mathematician of Armenians Armenian descent. Biography Parents Emil Artin was born in Vienna to parents Emma ... Hadochadus Maria Artin Citation needed date November 2010 , Austrian born of Armenian people ... child contracted this highly infectious disease. The senior Emil Artin died there July 20, 1906. Young ... in the sky to look. Emil tapped back the terse reply A N D R O M E D A N E B E L. Andromeda Galaxy ... of Quadratic Function Fields over Finite Fields , and the oral examination which his ... event at the Artin apartment as they had been at the Courants in G ttingen. On August 15, 1929 ... child, Karin. A year and a half later, in the summer of 1934, son Michael Artin Michael was born ... and colleague of Emil s. He suggested that the two Artin children only one quarter Jewish, or in Nazi ... Professors Dr. Artin an der Universit t Hamburg nicht entbehrt werden kann. . . . By July, when he was summarily ... presence in the Artin household. Karin played the cello, and then the piano as well, and Michael played the violin. As in Hamburg, the Artin living room was regularly the venue for amateur chamber ... Carol , and Oscar Wilde s The Canterville Ghost. For the Artin children, these readings replaced ... on only to hear news of the war. Similarly, the Artin household would never in years to come harbor ... of his teaching. Frei and Roquette write that Artin s main medium of communication was teaching ...   more details



  1. Artin billiard

    s and modular function s are studied. References E. Artin, Ein mechanisches System mit quasi ergodischen ...Refimprove date September 2008 In mathematics and physics , the Artin billiard is a type of a dynamical billiards dynamical billiard first studied by Emil Artin in 1924. It describes the geodesic flow geodesic motion of a free particle on the non compact Riemann surface math mathbb H Gamma, math where math mathbb H math is the upper half plane endowed with the Poincar metric and math Gamma PSL 2, mathbb Z math is the modular group . It can be viewed as the motion on the fundamental domain of the modular group with the sides identified. The system is notable in that it is an exactly solvable system that is Chaos theory strongly chaotic it is not only ergodic , but is also strong mixing . As such, it is an example of an Anosov flow . Artin s paper used symbolic dynamics for analysis of the system. The quantum mechanical version of Artin s billiard is also exactly solvable. The eigenvalue spectrum consists of a bound state and a continuous spectrum above the energy math E 1 4 math . The wave functions are given by Bessel function s. Exposition The motion studied is that of a free particle sliding frictionlessly, namely, one having the Hamiltonian quantum mechanics Hamiltonian math H p,q frac 1 2m p i p j g ij q math where m is the mass of the particle, math q i, i 1,2 math are the coordinates on the manifold, math p i math are the conjugate momenta math p i mg ij frac dq j dt math and math ds 2 g ij q , dq i , dq j math is the metric tensor on the manifold. Because this is the free particle Hamiltonian, the solution to the Hamilton Jacobi equations of motion are simply given by the geodesic s on the manifold. In the case of the Artin billiards, the metric is given by the canonical Poincar metric math ds 2 frac dy 2 y 2 math on the upper half plane. The non compact Riemann surface math mathcal H Gamma math is a symmetric space , and is defined as the quotient of the upper ...   more details



  1. 15378 Artin

    Infobox planet minorplanet yes width 25em bgcolour FFFFC0 apsis name Artin symbol image caption discovery yes discovery ref discoverer P. G. Comba discovery site Prescott Observatory Prescott discovered August 7, 1997 designations yes mp name 15378 alt names 1997 PJ2 mp category orbit ref epoch May 14, 2008 aphelion 3.0034580 perihelion 2.0624178 semimajor eccentricity 0.1857606 period 1472.4319631 avg speed inclination 4.74460 asc node 124.26593 mean anomaly 223.67910 arg peri 221.88354 satellites physical characteristics yes dimensions mass density surface grav escape velocity sidereal day axial tilt pole ecliptic lat pole ecliptic lon albedo temperatures temp name1 mean temp 1 max temp 1 temp name2 max temp 2 spectral type abs magnitude 15.9 15378 Artin 1997 PJ2 is a Asteroid belt main belt asteroid discovered on August 7, 1997 by P. G. Comba at Prescott Observatory Prescott . References Reflist External links http ssd.jpl.nasa.gov sbdb.cgi?sstr 15378 Artin JPL Small Body Database Browser on 15378 Artin MinorPlanets Navigator 15377 1997 KW 15379 Alefranz MinorPlanets Footer DEFAULTSORT Artin Category Main Belt asteroids Category Discoveries by Paul G. Comba Beltasteroid stub Category Astronomical objects discovered in 1997 fa it 15378 Artin pl 15378 Artin pt 15378 Artin uk 15378 vi 15378 Artin yo 15378 Artin ...   more details



  1. Wendy Artin

    Multiple issues BLP sources February 2010 self published April 2010 notable February 2010 orphan April 2010 Wendy Artin born 1963 is an American painter living and painting in Rome, Italy. She primarily works in watercolor and charcoal. Her work is figurative and classical and explores the timeless interaction of light with surfaces such as the human body and Roman ruins. She grew up in Newton, Massachusetts , where she impressed her first art teacher, climbed trees, walked on her hands, and rode a unicycle. She spent a great deal of time traveling and living abroad, both as a child and as a young adult, painting in streets and museums all the while. She met her husband, Bruno Boschin, when her travels took her to Italy and into his bookstore, the Libreria del Viaggiatore , in Rome. Artin has a BA in French Literature and Fine Arts from the University of Pennsylvania Magna cum Laude and an MFA in Painting from the School of the Museum of Fine Arts , Boston, and Tufts University . She studied for two years at the cole Nationale Sup rieure des Beaux Arts in Paris, France. In Rome, Wendy Artin has been a Visiting Artist at the American Academy in Rome . Wendy Artin exhibits at Gurari Collections in Boston, Massachusetts, USA, and at the Galerie du Passage in Paris, France. She has works in several public collections, including the Museum of Fine Arts, Boston , and the Boston Public Library Prints and Drawings Collection. She is the daughter of mathematician Michael Artin and the granddaughter of mathematician Emil Artin . References See Wikipedia Footnotes on how to create references using ref ref tags which will then appear here automatically Reflist External links http www.wendyartin.com Website http www.gurari.com gurari.com Michael Artin Michael Artin father Persondata Metadata see Wikipedia Persondata . NAME Artin, Wendy ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1963 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Artin, Wendy Category Living peop ...   more details



  1. Murad Artin

    Murad Artin , born the 6th January 1960 in Iraq, is a Swedish politician and Left Party Sweden Left Party member who worked in the Parliament of Sweden Riksdag from 1998 to 2002. Artin was a member of the Committee on Foreign Affairs Parliament of Sweden Committee on Foreign Affairs . Since 2003 he has been a municipal commissioner in the rebro commune of rebro . References http www.riksdagen.se webbnav index.aspx?nid 1111&iid 0431699774518 Riksdagen http www.orebro.se politikochdemokrati kommunstyrelse kommunalrad.4.37c0d5e810d685ee73080009853.html rebro kommun Persondata Metadata see Wikipedia Persondata . NAME Artin, Murad ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1960 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Artin, Murad Category Swedish politician stubs Category 1960 births Category Members of the parliament of Sweden Category Left Party Sweden politicians Category Armenian politicians Category Swedish Armenians Category Iraqi Armenians Category Living people Sweden politician stub sv Murad Artin ...   more details



  1. Artin group

    In mathematics , an Artin group or generalized braid group is a group mathematics group with a presentation of a group presentation of the form math Big langle x 1,x 2, ldots,x n Big langle x 1, x 2 rangle m 1,2 langle x 2, x 1 rangle m 2,1 , ldots , langle x n 1 , x n rangle m n 1,n langle x n , x n 1 rangle m n,n 1 Big rangle math where math m i,j m j,i in 2,3, ldots, infty math . For math m infty ...,j math can be organized into a symmetric matrix , known as the Coxeter matrix of the group. Each Artin ... mathematics kernel of the homomorphism to the associated Coxeter group, known as the pure Artin group , is generated by relations of the form math x i 2 1 math . Classes of Artin groups Braid group s are examples of Artin groups, with Coxeter matrix math m i,i 1 3 math and math m i,j 2 math for math i j 1. math Several important classes of Artin groups can be defined in terms of the properties of the Coxeter matrix. Artin groups of finite type If M is a Coxeter matrix of finite type, so that the corresponding Coxeter group W     A M is finite, then the Artin group A     A M is called an Artin group of finite type . The irreducible types are labeled as A sub n sub &thinsp ... , H sub 4 sub &thinsp . A pure Artin group of finite type can be realized as the fundamental group ... angled Artin groups If M is a matrix all of whose elements are equal to 2 or &infin , then the corresponding Artin group is called a right angled Artin group . For this class of Artin groups, a different ... by an edge in &Gamma , and m sub ij sub     &infin otherwise. The right angled Artin group A &Gamma .... math The class of right angled Artin groups includes the free group s of finite rank, corresponding ... whose fundamental group is a given right angled Artin group A &Gamma . They applied Morse theory Morse theoretic arguments to their geometric description of Artin groups and exhibited first known examples ... . Invent. Math. 17 1972 , 273 302. Egbert Brieskorn , Kyoji Saito, Artin Gruppen und Coxeter Gruppen ...   more details



  1. Artin Bo?gezenyan

    Orphan date January 2012 Artin Bo gezenyan was an Armenian people Armenian deputy for Aleppo in the first 1908 1912 , second April August 1912 and third 1914 1918 Ottoman Parliaments of the Constitutional Era. ref cite doi 10.1093 hwj dbm046 ref He stood out as a left leaning politician who supported workers rights and women s suffrage. He was the author of a motion to make adultery a civil offense for men, as against the traditional view which held only women punishable for adultery. During the brief period between the collapse of the Committee of Union and Progress regime in October 1918 and the dissolution of the parliament in December 1918, Bo gezenyan made several strong speeches denouncing the outgoing government for crimes committed during the Armenian massacres . He was a judge in the War Crimes Tribunal which led to the conviction and hanging of Kemal Bey, the notorious district governor of Bo azl yan , who was accused of atrocities against the deported Armenians in the central Anatolian province of Yozgat . References reflist Persondata Metadata see Wikipedia Persondata . NAME Bosgezenyan, Artin ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Bosgezenyan, Artin Category Year of birth missing Category Year of death missing Category Ottoman politicians tr Artin Bo gezenyan ...   more details



  1. Artin algebra

    In algebra, an Artin algebra is an algebra over a commutative Artin ring R that is a finitely generated R module. They are named after Emil Artin . Every Artin algebra is an Artin ring. Dual and transpose There are several different dualities taking finitely generated modules over to modules over the opposite algebra  sup op sup . If M is a left module then the right module M sup sup is defined to be Hom sub sub M , . The dual D M of a left module M is the right module D M     Hom sub R sub M , J , where J is the dualizing module of R , equal to the sum of the injective envelopes of the non isomorphic simple R modules or equivalently the injective envelope of R rad R . The dual of a left module over does not depend on the choice of R up to isomorphism . The transpose Tr M of a left module M is a right module defined to be the cokernel of the map Q sup sup     P sup sup , where P     Q     M     0 is a minimal projective presentation of M . References Citation last1 Auslander first1 Maurice last2 Reiten first2 Idun last3 Smal first3 Sverre O. title Representation theory of Artin algebras origyear 1995 url http books.google.com books?isbn 0521599237 publisher Cambridge University Press series Cambridge Studies in Advanced Mathematics isbn 978 0 521 59923 8 mr 1314422 year 1997 volume 36 Category Ring theory ...   more details



  1. Artin Penik

    Infobox person name Artin Penik image Artin penik portrait.JPG image size caption birth date 1921 birth place death date 15 August 1982 death place Istanbul, Turkey occupation Tailor spouse parents children Artin Penik 1921 August 15, 1982 was a Armenians in Turkey Turkish Armenian who committed suicide by self immolation in protest of the terrorist Esenboga airport attack by the Armenian Secret Army for the Liberation of Armenia ASALA, also known as Third October on August 10, 1982. ref name oran cite web last Oran first Bask n authorlink coauthors title The Reconstruction of Armenian Identity in Turkey and the Weekly Agos Interview with Hrant Dink work publisher Nouvelles d Armenie date 2006 12 17 url http www.armenews.com article.php3?id article 27696 doi accessdate 2007 02 21 ref ref name RoT cite web title Armenian Issue, Allegations Facts, Chronology publisher Ministry of Culture and Tourism, Republic of Turkey url http goturkey.kulturturizm.gov.tr BelgeGoster.aspx?17A16AE30572D313A781CAA92714FCE0A3216081A23BEF0D accessdate 2007 02 21 ref ref name turkishjournal cite web title He was an Armenian Artin Penik publisher Turkish Journal url http www.turkishjournal.com i.php?newsid 361 accessdate 2007 02 21 ref Penik, a 61 year old, self employed tailor , set himself on fire in Taksim Square Taksim plaza, the main square of Istanbul , Turkey , after leaving a suicide note in which he wrote I can no longer bear the grief over slayings of innocent people. ref name associatedpress ... people Artin Penik title Graphic TV interview with Artin Penik in hospital Turkish with English subtitles ... watch?v uh2f2qsc5Yg TV interview with Artin Penik in hospital Turkish with English subtitles Graphic Metadata see Wikipedia Persondata Persondata NAME Penik, Artin SHORT DESCRIPTION Turkish Armenian ... 1982 08 15 PLACE OF DEATH Istanbul DEFAULTSORT Penik, Artin Category Turkish people of Armenian descent ... az Artin Penik de Artin Penik fr Artin Penik nl Artin Penik tr Artin Penik ...   more details



  1. Artin Jelow

    name blank1 info website footnotes Artin Jelow also Atin Jilao is a village in Badakhshan Province ... links http www.maplandia.com afghanistan badakhshan artin jelow Satellite map at Maplandia.com http encarta.msn.com encnet features mapcenter map.aspx Search for Artin Jelow in the MSN Encarta atlas Category Populated places in Badakhshan Province Badakhshan geo stub pt Artin Jelow ...   more details




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