| Description |
1 online resource (213 pages). |
|
text file |
| Series |
Annals of mathematics studies ; no. 180
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Annals of mathematics studies ; no. 180.
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| Bibliography |
Includes bibliographical references and index. |
| 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 |
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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; |
| 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Mellin transform.
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Mellin transform. |
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Convolutions (Mathematics)
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Convolutions (Mathematics) |
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Sequences (Mathematics)
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Sequences (Mathematics) |
| Genre/Form |
Electronic books.
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Electronic books.
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Electronic books.
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| Other Form: |
Print version: Katz, Nicholas M. Convolution and Equidistribution : Sato-Tate Theorems for Finite-Field Mellin Transforms. Princeton : Princeton University Press, ©2012 9780691153315 |
| ISBN |
9781400842704 (electronic book) |
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1400842700 (electronic book) |
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1283379961 |
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9781283379960 |
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1400842700 |
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9780691153308 (hardcover) (alkaline paper) |
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9780691153315 (paperback) (alkaline paper) |
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0691153302 |
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0691153310 |
| Standard No. |
9786613379962 |
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