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portada Gauss Sums, Kloosterman Sums, and Monodromy Groups. (Am-116)
Type
Physical Book
Year
1988
Language
English
Pages
256
Format
Paperback
ISBN
0691084335
ISBN13
9780691084336
Edition No.
1
Categories

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

Nicholas M. Katz (Author) · Princeton University Press · Paperback

Gauss Sums, Kloosterman Sums, and Monodromy Groups. (Am-116) - Nicholas M. Katz

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Synopsis "Gauss Sums, Kloosterman Sums, and Monodromy Groups. (Am-116)"

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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