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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 |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2012.
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| Colección: | Annals of mathematics studies ;
no. 180. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Descripción Física: | 1 online resource (213 pages) |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9781400842704 1400842700 1283379961 9781283379960 |