ENGLISH

Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116

By Nicholas M. Katz

Book information

Publisher
Princeton University Press
Year
2016
ISBN
9781400882120
DOI
10.1515/9781400882120
Language
english
Format
PDF
Filesize
8 MB (8305322 bytes)
Series
Annals of Mathematics Studies; 116
Pages
256\256
Library
degruyter.com
Time added
2023-08-25 04:17:28

Description

The study of exponential sums over finite fields, begun by Gauss nearly two centuries ago, has been completely transformed in recent years by advances in algebraic geometry, culminating in Deligne's work on the Weil Conjectures. It now appears as a very attractive mixture of algebraic geometry, representation theory, and the sheaf-theoretic incarnations of such standard constructions of classical analysis as convolution and Fourier transform. The book is simultaneously an account of some of these ideas, techniques, and results, and an account of their application to concrete equidistribution questions concerning Kloosterman sums and Gauss sums.

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