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

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

by Nicholas M. Katz
     
 

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

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Overview

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.

Product Details

ISBN-13:
9780691084329
Publisher:
Princeton University Press
Publication date:
08/21/1988
Series:
Annals of Mathematics Studies Series, #116
Pages:
256
Product dimensions:
6.32(w) x 9.53(h) x 0.79(d)

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