Nicholas M Katz

(Author)

Exponential Sums and Differential Equations. (Am-124), Volume 124Paperback, 21 September 1990

Exponential Sums and Differential Equations. (Am-124), Volume 124
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Part of Series
Annals of Mathematics Studies
Part of Series
Annals of Mathematics Studies (Paperback)
Part of Series
Annals of Mathematics Studies, 124
Print Length
448 pages
Language
English
Publisher
Princeton University Press
Date Published
21 Sep 1990
ISBN-10
0691085994
ISBN-13
9780691085999

Description

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.

Product Details

Author:
Nicholas M Katz
Book Format:
Paperback
Country of Origin:
US
Date Published:
21 September 1990
Dimensions:
23.01 x 15.09 x 2.82 cm
ISBN-10:
0691085994
ISBN-13:
9780691085999
Language:
English
Location:
Princeton
Pages:
448
Weight:
625.96 gm

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