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Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 (Paperback)
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Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 (Paperback)
Series: Annals of Mathematics Studies
Expected to ship within 12 - 17 working days
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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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