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    Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116
    Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116
    Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116
    Ebook256 pages5 hours

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

    By Nicholas M. Katz

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    About this ebook

    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.

    LanguageEnglish
    PublisherPrinceton University Press
    Release dateMar 2, 2016
    ISBN9781400882120
    Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116
    Author

    Nicholas M. Katz

    Nicholas M. Katz is Professor of Mathematics at Princeton University. He is the author of five previous books in this series: Arithmetic Moduli of Elliptic Curves (with Barry Mazur); Gauss Sums, Kloosterman Sums, and Monodromy Groups; Exponential Sums and Differential Equations; Rigid Local Systems; and Twisted L-Functions and Monodromy.

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