Cover image for Convolution and Equidistribution : Sato-Tate Theorems for Finite-Field Mellin Transforms.
Title:
Convolution and Equidistribution : Sato-Tate Theorems for Finite-Field Mellin Transforms.
Author:
Katz, Nicholas M.
ISBN:
9781400842704

9781283379960
Publication Information:
Princeton : Princeton University Press, 2012.
Physical Description:
1 online resource (213 pages).
Series:
Annals of mathematics studies ; no. 180

Annals of mathematics studies ; no. 180.
Abstract:
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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