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Convolution and Equidistribution

Language EnglishEnglish
Book Paperback
Book Convolution and Equidistribution Katz
Libristo code: 04460051
Publishers Princeton University Press, January 2012
"Convolution and Equidistribution" explores an important aspect of number theory - the theory of exp... Full description
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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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About the book

Full name Convolution and Equidistribution
Author Katz
Language English
Binding Book - Paperback
Date of issue 2012
Number of pages 208
EAN 9780691153315
ISBN 0691153310
Libristo code 04460051
Weight 314
Dimensions 157 x 233 x 12
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