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|a ABES
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|a eng
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|a QA432 .K388 2012
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|0 (IdRef)030691354
|1 http://www.idref.fr/030691354/id
|a Katz, Nicholas M.
|d (1943-....).
|4 aut.
|e Auteur
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1 |
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|a Convolution and equidistribution :
|b sato-tate theorems for finite-field mellin transforms
|c Nicholas M. Katz.
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| 256 |
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|a Données textuelles.
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| 260 |
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|a Princeton ;
|a N.J :
|b Princeton University Press,
|c 2012.
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| 336 |
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|b txt
|2 rdacontent
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|b c
|2 rdamedia
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|b b
|2 isbdmedia
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|b ceb
|2 RDAfrCarrier
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| 490 |
1 |
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|a Annals of Mathematics Studies ;
|v 180
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| 500 |
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|a La pagination de l'édition imprimée correspondante est de : 208 p.
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|a L'accès complet à la ressource est réservé aux usagers des établissements qui en ont fait l'acquisition
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|a Biographical note: KatzNicholas M.: Nicholas M. Katz is professor of mathematics at Princeton University. He is the author or coauthor of six previous titles in the Annals of Mathematics Studies: "Arithmetic Moduli of Elliptic Curves "(with Barry Mazur); "Gauss Sums, Kloosterman Sums, and Monodromy Groups"; "Exponential Sums and Differential Equations"; "Rigid Local Systems"; "Twisted L-Functions and Monodromy;" and "Moments, Monodromy, and Perversity."
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|a Main description: Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view. The book presents fundamentally important results and a plethora of examples, opening up new directions in the subject. The finite-field Mellin transform (of a function on the multiplicative group of a finite field) is defined by summing that function against variable multiplicative characters. The basic question considered in the book is how the values of the Mellin transform are distributed (in a probabilistic sense), in cases where the input function is suitably algebro-geometric. This question is answered by the book's main theorem, using a mixture of geometric, categorical, and group-theoretic methods. By providing a new framework for studying Mellin transforms over finite fields, this book opens up a new way for researchers to further explore the subject
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| 538 |
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|a Nécessite un navigateur et un lecteur de fichier PDF.
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| 650 |
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|a Convolutions (Mathematics).
|2 lc
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| 650 |
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|a MATHEMATICS
|x Functional Analysis.
|2 lc
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| 650 |
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|a Mellin transform.
|2 lc
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| 650 |
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|a Sequences (Mathematics).
|2 lc
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| 650 |
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|a Algebro-geometric.
|2 lc
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| 650 |
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|a Convolutions (Mathematics).
|2 lc
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| 650 |
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|a Mathematics.
|2 lc
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| 650 |
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|a Mathematik.
|2 lc
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| 650 |
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|a Mellin transform.
|2 lc
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| 650 |
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|a Numerical and Computational Mathematics.
|2 lc
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| 650 |
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0 |
|a Sequences (Mathematics).
|2 lc
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| 650 |
|
7 |
|0 (IdRef)027672840
|1 http://www.idref.fr/027672840/id
|a Convolutions (mathématiques).
|2 ram
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| 650 |
|
7 |
|0 (IdRef)029489415
|1 http://www.idref.fr/029489415/id
|a Suites (mathématiques).
|2 ram
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| 650 |
|
7 |
|0 (IdRef)02981622X
|1 http://www.idref.fr/02981622X/id
|a Mellin, Transformation de.
|2 ram
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| 760 |
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|t Annals of Mathematics Studies
|g 180
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| 830 |
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|a Annals of Mathematics Studies ;
|v 180
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| 856 |
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|q HTML
|u https://srvext.uco.fr/login?url=https://univ.scholarvox.com/book/88838048
|w Données éditeur
|z Accès à l'E-book
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|2 unimarc
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|a i#
|b xxxe##
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