LEADER 00000cam a2200745Mi 4500 001 ocn769343171 003 OCoLC 005 20160527040814.2 006 m o d 007 cr |n|---||||| 008 111226s2012 nju o 000 0 eng d 019 778432208|a816879877|a825821366 020 9781400842704|q(electronic book) 020 1400842700|q(electronic book) 020 1283379961 020 9781283379960 020 |z1400842700 020 |z9780691153308|q(hardcover)|q(alkaline paper) 020 |z9780691153315|q(paperback)|q(alkaline paper) 020 |z0691153302 020 |z0691153310 024 8 9786613379962 035 (OCoLC)769343171|z(OCoLC)778432208|z(OCoLC)816879877 |z(OCoLC)825821366 037 CL0500000188|bSafari Books Online 037 22573/cttkg1h|bJSTOR 040 EBLCP|beng|epn|cEBLCP|dN$T|dYDXCP|dIDEBK|dOCLCQ|dDEBSZ |dOCLCQ|dOCLCO|dCOO|dOCLCO|dOCLCF|dE7B|dCDX|dUMI|dJSTOR |dKZC 049 RIDW 050 4 QA432 .K388 2012 072 7 MAT|x037000|2bisacsh 072 7 PBH|2bicssc 082 04 515.723 090 QA432 .K388 2012 100 1 Katz, Nicholas M.,|d1943-|0https://id.loc.gov/authorities/ names/n84023572 245 10 Convolution and Equidistribution :|bSato-Tate Theorems for Finite-Field Mellin Transforms. 264 1 Princeton :|bPrinceton University Press,|c2012. 300 1 online resource (213 pages). 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 347 text file|2rdaft 490 1 Annals of mathematics studies ;|vno. 180 504 Includes bibliographical references and index. 505 0 Cover; Title Page; Copyright Page; Table of Contents; Introduction; Chapter 1. Overview; Chapter 2. Convolution of Perverse Sheaves; Chapter 3. Fibre Functors; Chapter 4. The Situation over a Finite Field; Chapter 5. Frobenius Conjugacy Classes; Chapter 6. Group-Theoretic Facts about Ggeom and Garith; Chapter 7. The Main Theorem; Chapter 8. Isogenies, Connectedness, and Lie-Irreducibility; Chapter 9. Autodualities and Signs; Chapter 10. A First Construction of Autodual Objects; Chapter 11. A Second Construction of Autodual Objects; Chapter 12. The Previous Construction in the Nonsplit Case 505 8 Chapter 25. G2 Examples: the Overall StrategyChapter 26. G2 Examples: Construction in Characteristic Two; Chapter 27. G2 Examples: Construction in Odd Characteristic; Chapter 28. The Situation over Z: Results; Chapter 29. The Situation over Z: Questions; Chapter 30. Appendix: Deligne's Fibre Functor; Bibliography; 520 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. 588 0 Print version record. 590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic Collection - North America 650 0 Mellin transform.|0https://id.loc.gov/authorities/subjects /sh85083428 650 0 Convolutions (Mathematics)|0https://id.loc.gov/authorities /subjects/sh85031752 650 0 Sequences (Mathematics)|0https://id.loc.gov/authorities/ subjects/sh85120145 650 7 Mellin transform.|2fast|0https://id.worldcat.org/fast/ 1015759 650 7 Convolutions (Mathematics)|2fast|0https://id.worldcat.org/ fast/877310 650 7 Sequences (Mathematics)|2fast|0https://id.worldcat.org/ fast/1112884 655 0 Electronic books. 655 4 Electronic books. 655 7 Electronic books.|2local 776 08 |iPrint version:|aKatz, Nicholas M.|tConvolution and Equidistribution : Sato-Tate Theorems for Finite-Field Mellin Transforms.|dPrinceton : Princeton University Press, ©2012|z9780691153315 830 0 Annals of mathematics studies ;|0https://id.loc.gov/ authorities/names/n42002129|vno. 180. 856 40 |uhttps://rider.idm.oclc.org/login?url=http:// search.ebscohost.com/login.aspx?direct=true&scope=site& db=nlebk&AN=421488|zOnline eBook. Access restricted to current Rider University students, faculty, and staff. 856 42 |3Instructions for reading/downloading this eBook|uhttp:// guides.rider.edu/ebooks/ebsco 901 MARCIVE 20231220 948 |d20160607|cEBSCO|tebscoebooksacademic|lridw 994 92|bRID