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

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by Nicholas M. Katz
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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 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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Ebook Details
Pages: 256
Size: 9.5 MB
Publisher: Princeton University Press
Date published:   2016
ISBN: 9781400882120 (DRM-PDF)

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This product is listed in the following category:

Nonfiction > Mathematics > Number Theory

This author has products in the following categories:

Nonfiction > Mathematics > Number Theory
Nonfiction > Mathematics > Geometry > Algebraic
Nonfiction > Mathematics > Group Theory
Nonfiction > Mathematics > Calculus
Nonfiction > Mathematics > Finite Mathematics
Nonfiction > Mathematics
Nonfiction > Mathematics > Differential Equations
Nonfiction > Mathematics > Complex Analysis
Nonfiction > Mathematics > Geometry > Non-Euclidean

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