Exponential Sums and Differential Equations - Couverture rigide

Katz, Nicholas M.

Couverture rigide

ISBN 10 : 0691085986 ISBN 13 : 9780691085982

Editeur : Princeton University Press, 1990

Synopsis

This book is concerned with two areas of mathematics, at first sight disjoint, and with some of the analogies and interactions between them. These areas are the theory of linear differential equations in one complex variable with polynomial coefficients, and the theory of one parameter families of exponential sums over finite fields. After reviewing some results from representation theory, the book discusses results about differential equations and their differential galois groups (G) and one-parameter families of exponential sums and their geometric monodromy groups (G). The final part of the book is devoted to comparison theorems relating G and G of suitably "corresponding" situations, which provide a systematic explanation of the remarkable "coincidences" found "by hand" in the hypergeometric case.

A propos du livre

Présentation de l'éditeur

This book is concerned with two areas of mathematics, at first sight disjoint, and with some of the analogies and interactions between them. These areas are the theory of linear differential equations in one complex variable with polynomial coefficients, and the theory of one parameter families of exponential sums over finite fields. After reviewing some results from representation theory, the book discusses results about differential equations and their differential galois groups (G) and one-parameter families of exponential sums and their geometric monodromy groups (G). The final part of the book is devoted to comparison theorems relating G and G of suitably "corresponding" situations, which provide a systematic explanation of the remarkable "coincidences" found "by hand" in the hypergeometric case.

Détails de l'édition

• Éditeur: Princeton University Press
• Date d'édition: 1990
• Langue: anglais
• ISBN 10: 0691085986
• ISBN 13: 9780691085982
• Reliure: Relié
• Nombre de pages: 448
• Coordonnées du fabricant: Princeton University Press; https://press.princeton.edu/books; ; 7th Floor, New South Building; PRINCETON; NJ; 8544; Etats-Unis
• Personne responsable: non disponible