Exponential Sums and Differential Equations. (AM-124) - Nicholas M. Katz (1990)
ISBN 0691085994
Subject Differential equations; Exponential sums
Publisher Princeton University Press
Publication Date 9/1/1990
Format Paperback (229 x 152 mm)
Language e

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.

Personal Details
Collection Status In Collection
Index 542
Read It Yes
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Product Details
LoC Classification QA246.7.K38 1990 Copy 1
Dewey 512/.73
Cover Price $61.00
No. of Pages 448