- Andrew Odlyzko
infobox scientist box width 250px name Andrew Odlyzko image filename only image size caption birth date birth place death date death place nationality fields Mathematics workplaces University of Minnesota alma mater Massachusetts Institute of Technology doctoral advisor Harold Stark doctoral students known for awards Andrew Michael Odlyzko is a mathematician and a former head of the University of Minnesota s Digital Technology Center. In the field of mathematics he has published extensively on analytic number theory , computational number theory , cryptography , algorithm s and computational complexity , combinatorics , probability , and error correcting code s. In the early 1970s, he was a co author with D. Kahaner and G. C. Rota of one of the founding papers of the modern umbral calculus . He received his Ph.D. from the Massachusetts Institute of Technology in 1975. ref MathGenealogy id ... Metcalfe s Law is Wrong . Bob Briscoe, Andrew Odlyzko, and Benjamin Tilly, July 2006 IEEE Spectrum. ref Andrew Odlyzko argues that the incremental value of adding one person to network of n people ... optimistic. See also Odlyzko Sch nhage algorithm Digital media Metcalfe s law Binomial type Reed s law References Reflist External links http www.dtc.umn.edu odlyzko Andrew Odlyzko Home Page http www.dtc.umn.edu Digital Technology Center at the University of Minnesota Andrew Odlyzko, http www.dtc.umn.edu odlyzko doc tragic.loss.txt Tragic loss or good riddance? The impending demise of traditional scholarly journals Andrew Odlyzko, http firstmonday.org htbin cgiwrap bin ojs index.php fm article ... see Wikipedia Persondata . NAME Odlyzko, Andrew ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Odlyzko, Andrew Category Year of birth ... Institute of Technology alumni Category University of Minnesota faculty de Andrew Odlyzko ht Andrew Odlyzko sv Andrew Odlyzko ... more details
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- Odlyzko?Schönhage algorithm
In mathematics, the Odlyzko Sch nhage algorithm is a fast algorithm for evaluating the Riemann zeta function at many points, introduced by harvs author1 link Andrew Odlyzko last1 Odlyzko last2 Sch nhage author2 link Arnold Sch nhage year 1988 . The key point is the use of the fast Fourier transform to speed up the evaluation of a finite Dirichlet series of length N at O N equally spaced values from O N sup 2 sup to O N sup 1 &epsilon sup steps at the cost of storing O N sup 1 &epsilon sup intermediate values . The Riemann Siegel formula used for calculating the Riemann zeta function with imaginary part T uses a finite Dirichlet series with about N T sup 1 2 sup terms, so when finding about N values of the Riemann zeta function it is sped up by a factor of about T sup 1 2 sup . This reduces the time to find the zeros of the zeta function with imaginary part at most T from about T sup 3 2 &epsilon sup steps to about T sup 1 &epsilon sup steps. The algorithm can be used not just for the Riemann zeta function, but also for many other functions given by Dirichlet series. The algorithm was used by harvtxt Gourdon 2004 to verify the Riemann hypothesis for the first 10 sup 13 sup zeros of the zeta function. References citation first X. last Gourdon url http numbers.computation.free.fr Constants Miscellaneous zetaevaluations.html title Numerical evaluation of the Riemann Zeta function citation url numbers.computation.free.fr Constants Miscellaneous zetazeroscompute.html last Gourdon title The 10 sup 13 sup first zeros of the Riemann Zeta function, and zeros computation at very large height year 2004 citation first A. last Odlyzko title The 10 sup 20 sup th zero of the Riemann zeta function and 175 million of its neighbors year 1992 url http www.dtc.umn.edu odlyzko unpublished index.html ... in detail. citation id MR 0961614 author1 link Odlyzko author2 link Sch nhage last Odlyzko first A. M ... functions de Verfahren von Odlyzko und Sch nhage pt Algoritmo de Odlyzko Sch nhage ... more details
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- Andrew!!!
Infobox Album See Wikipedia WikiProject Albums Name Andrew Type studio Artist br Andrew Hill Cover Andrew .jpg Released Recorded June 25, 1964 Genre Post bop br Avant garde jazz Length Label Blue Note Records Blue Note Producer Reviews Allmusic Rating 4 5 Allmusic class album id r140718 pure url yes link Last album Point of Departure Andrew Hill album Point of Departure br 1964 This album Andrew br 1964 Next album Pax album Pax br 1965 Andrew is a studio album by jazz pianist Andrew Hill recorded for Blue Note Records in 1964, which was first released in April 1968, and subsequently released on CD in 2005 with two alternate takes. ref Michael Cuscuna, liner notes to the 2005 CD reissue. ref Track listing The Griots 6 04 Black Monday 8 55 Duplicity 6 11 Le Serpent Qui Danse 6 55 No Doubt 4 23 Symmetry 7 08 The Griots alternate 5 06 Symmetry alternate 6 31 Personnel Andrew Hill piano John Gilmore musician John Gilmore tenor saxophone Bobby Hutcherson vibraphone Richard Davis double bassist Richard Davis double bass Joe Chambers Drum kit drums References Reflist Category 1964 albums Category Andrew Hill albums Category Blue Note Records albums 1960s jazz album stub ... more details
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- Andrew To
. NAME To, Andrew ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT To, Andrew Category Hong Kong politicians Category District councillors ... of Social Democrats politicians HK bio stub es Andrew To zh yue zh ... more details
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- Andrew Wright
Andrew Wright may refer to Andrew Wright artist Andrew Wright footballer Andrew Wright cricketer hndis Wright, Andrew ... more details
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- Andrew Bridge
Andrew Bridge may refer to Andrew Bridge lighting designer Andrew Bridge basketball hndis Bridge, Andrew ... more details
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- Andrew McFarlane
Andrew McFarlane may refer to Andrew McFarlane Australian actor Andrew McFarlane motocross racer Andrew McFarlane American actor hndis Macfarlane, Andrew de Andrew McFarlane nl Andrew McFarlane ... more details
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- Andrew Lees
Andrew Lees may refer to Andrew Lees environmentalist 1949 1994 Andrew Lees neurologist Andrew Lees actor in Rescue Special Ops See also Andrew Lee disambiguation hndis Lees, Andrew ... more details
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- Andrew Bogle
Andrew Bogle may refer to Andrew Bogle, a figure in the Tichborne Case Andrew Cathcart Bogle 1829 1890 , recipient of the Victoria Cross hndis Bogle, Andrew ... more details
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- Andrew Wilde
Andrew Wilde may refer to Andrew Wilde pianist , English classical pianist Andrew Wilde actor , English actor hndis name Wilde, Andrew ... more details
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- Andrew Maynard
Andrew Maynard is the name of Andrew Maynard boxer , American boxer Andrew M. Maynard , Connecticut state senator hndis Maynard, Andrew ... more details
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- Andrew Weiss
Andrew Weiss may refer to Andrew Weiss economist , American economist and investor Andrew Weiss guitarist , American bass guitarist and producer Hndis Weiss, Andrew ... more details
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- Andrew Pollock
Andrew Pollock is the name of two cricketers Andrew Maclean Pollock father of Graeme Pollock Andrew Graeme Pollock son of Graeme Pollock hndis Pollock, Andrew ... more details
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- Andrew Dykes
Andrew Dykes may refer to Andrew Dykes cricketer , Tasmanian cricketer Andrew Dykes rugby union , Scotland rugby player hndis Dykes, Andrew ... more details
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- Andrew Hargreaves
Andrew Hargreaves may refer to Andrew Hargreaves politician Andy Hargreaves academic Andy Hargreaves musician hndis Hargreaves, Andrew ... more details
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- Andrew Waddell
Andrew Waddell could mean Andrew Waddell association football referee Andrew Waddell politician the Western Australian politician Disambig ... more details
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- Andrew McIntosh
Andrew McIntosh may refer to Andrew McIntosh, Baron McIntosh of Haringey 1933 2010 , British Labour politician Andrew McIntosh professor Andrew McIntosh Australian politician hndis Macintosh, Andrew ... more details
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- Andrew Drummond
Andrew Drummond is the name of Andrew Drummond author , Scottish translator and novelist Andrew Drummond artist , New Zealand painter and sculptor hndis Drummond, Andrew eo Andrew Drummond ... more details
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- Andrew Evans
Andrew Evans may refer to Andrew Evans pastor Andrew Evans figure skater Andy Evans , Welsh footballer hndis Evans, Andrew Long comment to avoid being listed on short pages DEFAULTSORT Evans, Andrew ... more details
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- Joseph Andrew
Joseph or Joe Andrew may refer to Joe Andrew , American, National Chairman Joe Andrew academic , Keele University Professor See also intitle Joseph Andrews disambiguation hndis Andrew, Joseph DEFAULTSORT Andrew, Joseph ... more details
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- Andrew Hart
Andrew Hart may refer to Andrew Hart rugby league Andrew Hart athlete Andrew Searle Hart , mathematician and vice provost of Trinity College, Dublin hndis Hart, Andrew ... more details
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- Andrew Phillips
Andrew Phillips may refer to Andrew Phillips historian Andrew Phillips, Baron Phillips of Sudbury , British solicitor and Liberal Democrat politician Andrew Phillips swimmer hndis Phillips, Andrew ... more details
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- Andrew Koenig
Andrew Koenig may refer to Andrew Koenig programmer , American programmer Andrew Koenig actor 1968 2010 , American actor Andrew Koenig politician , member of the Missouri House of Representatives hndis Koenig, Andrew ... more details
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- Andrew Grant
Andrew Grant may refer to Andrew Grant writer born 1968 , British novelist Andrew Grant MP 1830 1924 , Scottish Liberal politician Andrew Grant physician See also intitle hndis Grant, Andrew ... more details
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- Andrew Mason
Andrew Mason may refer to Andrew Mason businessman , the founder and CEO of Groupon Andrew Mason cricketer , a cricketer Andrew Mason rugby league , a rugby league footballer hndis Mason, Andrew ... more details
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