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Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116
Nicholas M. Katz
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Description for Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116
Paperback. Series: Annals of Mathematics Studies. Num Pages: 256 pages, black & white illustrations. BIC Classification: PBF; PBT. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 158 x 235 x 19. Weight in Grams: 382.
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.
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
Publisher
Princeton University Press United States
Number of pages
256
Format
Paperback
Publication date
1992
Series
Annals of Mathematics Studies
Condition
New
Weight
381g
Number of Pages
256
Place of Publication
New Jersey, United States
ISBN
9780691084336
SKU
V9780691084336
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
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