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Exponential Sums and Differential Equations. (AM-124), Volume 124

Nicholas M Katz author

Format:Paperback

Publisher:Princeton University Press

Published:1st Jul '92

Currently unavailable, and unfortunately no date known when it will be back

Exponential Sums and Differential Equations. (AM-124), Volume 124 cover

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.

ISBN: 9780691085999

Dimensions: unknown

Weight: 624g

448 pages