Convolution and Equidistribution – Sato–Tate Theorems for Finite–Field Mellin Transforms (AM–180) (Annals of Mathematics Studies, 180) - Image 1

£83.45

Princeton University Press Convolution and Equidistribution – Sato–Tate Theorems for Finite–Field Mellin Transforms (AM–180) (Annals of Mathematics Studies, 180)

Name: Convolution and Equidistribution - Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180) (Annals of Mathematics Studies, 180)
Brand: Princeton University Press
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Algebra

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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 probabilistic sense), in cases where the input function is suitably algebro-geometric. This question is answered by the book's main theorem, using a mixture of geometric, categorical, and group-theoretic methods. By providing a new framework for studying Mellin transforms over finite fields, this book opens up a new way for researchers to further explore the subject.

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Brand: Princeton University Press
Format: hardcover
ASIN: 0691153302
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 07 February 2012
Listed Since: 13 May 2011

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Princeton University Press Convolution and Equidistribution – Sato–Tate Theorems for Finite–Field Mellin Transforms (AM–180) (Annals of Mathematics Studies, 180)

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