Convolution and Equidistribution

Convolution and Equidistribution
Author :
Publisher : Princeton University Press
Total Pages : 212
Release :
ISBN-10 : 9780691153315
ISBN-13 : 0691153310
Rating : 4/5 (310 Downloads)

Book Synopsis Convolution and Equidistribution by : Nicholas M. Katz

Download or read book Convolution and Equidistribution written by Nicholas M. Katz and published by Princeton University Press. This book was released on 2012-01-24 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Convolution and Equidistribution Related Books

Convolution and Equidistribution
Language: en
Pages: 212
Authors: Nicholas M. Katz
Categories: Mathematics
Type: BOOK - Published: 2012-01-24 - Publisher: Princeton University Press

DOWNLOAD EBOOK

Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--f
Theory and Applications of Convolution Integral Equations
Language: en
Pages: 259
Authors: Hari M. Srivastava
Categories: Mathematics
Type: BOOK - Published: 2013-04-18 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This volume presents a state-of-the-art account of the theory and applications of integral equations of convolution type, and of certain classes of integro-diff
The Second Moment Theory of Families of $L$-Functions–The Case of Twisted Hecke $L$-Functions
Language: en
Pages: 160
Authors: Valentin Blomer
Categories: Mathematics
Type: BOOK - Published: 2023-02-13 - Publisher: American Mathematical Society

DOWNLOAD EBOOK

View the abstract.
Probability Measures on Locally Compact Groups
Language: en
Pages: 542
Authors: H. Heyer
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Probability measures on algebraic-topological structures such as topological semi groups, groups, and vector spaces have become of increasing importance in rece
Relative Trace Formulas
Language: en
Pages: 438
Authors: Werner Müller
Categories: Mathematics
Type: BOOK - Published: 2021-05-18 - Publisher: Springer Nature

DOWNLOAD EBOOK

A series of three symposia took place on the topic of trace formulas, each with an accompanying proceedings volume. The present volume is the third and final in