Gauss Sums, Kloosterman Sums, and Monodromy Groups

Nicholas M. Katz

ISBN 10: 0691084335 / ISBN 13: 9780691084336

Edité par Princeton University Press, US, 1988

A propos de cet article

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.

N° de réf. du vendeur LU-9780691084336

Détails bibliographiques

• Titre: Gauss Sums, Kloosterman Sums, and Monodromy Groups
• Éditeur: Princeton University Press, US
• Date de parution: 1988
• Langue: anglais
• ISBN à 10 chiffres: 0691084335
• ISBN à 13 chiffres: 9780691084336
• Reliure: Paperback
• État de l'article: New
• Poids: 340 grammes

A propos de ce titre

Synopsis

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.