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Convolution and Equidistribution : Sato-Tate Theorems for Finite-Field Mellin Transforms.
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 direction...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2012.
|
| Colección: | Annals of mathematics studies ;
no. 180. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 003 | OCoLC | ||
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| 100 | 1 | |a Katz, Nicholas M. | |
| 245 | 1 | 0 | |a Convolution and Equidistribution : |b Sato-Tate Theorems for Finite-Field Mellin Transforms. |
| 260 | |a Princeton : |b Princeton University Press, |c 2012. | ||
| 300 | |a 1 online resource (213 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Annals of mathematics studies ; |v no. 180 | |
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 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 | |a 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 | |a 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. | ||
| 546 | |a In English. | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 650 | 0 | |a Mellin transform. | |
| 650 | 0 | |a Convolutions (Mathematics) | |
| 650 | 0 | |a Sequences (Mathematics) | |
| 650 | 6 | |a Transformation de Mellin. | |
| 650 | 6 | |a Convolutions (Mathématiques) | |
| 650 | 6 | |a Suites (Mathématiques) | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a Convolutions (Mathematics) |2 fast |0 (OCoLC)fst00877310 | |
| 650 | 7 | |a Mellin transform. |2 fast |0 (OCoLC)fst01015759 | |
| 650 | 7 | |a Sequences (Mathematics) |2 fast |0 (OCoLC)fst01112884 | |
| 776 | 0 | 8 | |i Print version: |a Katz, Nicholas M. |t Convolution and Equidistribution : Sato-Tate Theorems for Finite-Field Mellin Transforms. |d Princeton : Princeton University Press, ©2012 |z 9780691153315 |
| 830 | 0 | |a Annals of mathematics studies ; |v no. 180. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt7svh4 |z Texto completo |
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