Character Sums with Exponential Functions and their Applications - Couverture rigide

Livre 5 sur 46: Cambridge Tracts in Mathematics

Konyagin, Sergei; Shparlinski, Igor

 
9780521642637: Character Sums with Exponential Functions and their Applications
Couverture rigide
ISBN 10 : 0521642639 ISBN 13 : 9780521642637
Editeur : Cambridge University Press, 1999

Synopsis

A treatment of a lively topic from number theory for graduate students and researchers.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The theme of this book is the study of the distribution of integer powers modulo a prime number. It provides numerous new, sometimes quite unexpected, links between number theory and computer science as well as to other areas of mathematics. Possible applications include (but are not limited to) complexity theory, random number generation, cryptography, and coding theory. The main method discussed is based on bounds of exponential sums. Accordingly, the book contains many estimates of such sums, including new estimates of classical Gaussian sums. It also contains many open questions and proposals for further research.

Revue de presse

"It is perhaps surprising that such a diverse collections of problems may be unified under one theme. This book should serve as a useful reference for mathematicians interested in such problems as well as a valuable source of open questions for research projects." Bulletin of the American Mathematical Society

"...this is a work that should be present in any decent mathematical library." Mathematical Reviews

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
1999
Langue
anglais
ISBN 10 
0521642639
ISBN 13 
9780521642637
Reliure
Relié
Nombre de pages
172
Coordonnées du fabricant
non disponible
Personne responsable
non disponible