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The Resource Convolution and Equidistribution : Sato-Tate Theorems for Finite-Field Mellin Transforms

Convolution and Equidistribution : Sato-Tate Theorems for Finite-Field Mellin Transforms

Label
Convolution and Equidistribution : Sato-Tate Theorems for Finite-Field Mellin Transforms
Title
Convolution and Equidistribution
Title remainder
Sato-Tate Theorems for Finite-Field Mellin Transforms
Creator
Subject
Language
eng
Summary
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
Member of
Cataloging source
EBLCP
Index
index present
Language note
In English
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Annals of mathematics studies
Series volume
no. 180
Convolution and Equidistribution : Sato-Tate Theorems for Finite-Field Mellin Transforms
Label
Convolution and Equidistribution : Sato-Tate Theorems for Finite-Field Mellin Transforms
Link
http://www.jstor.org/stable/10.2307/j.ctt7svh4
Publication
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Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • 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
  • 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
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9781400842704&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b4327592'}
Extent
1 online resource (213 pages).
Form of item
online
Isbn
9781400842704
Media category
computer
Media MARC source
rdamedia
Media type code
c
Specific material designation
remote

Library Locations

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      42.729766 -73.682577
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