Exponential Sums and Differential Equations (häftad)
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Format
Häftad (Paperback)
Språk
Engelska
Serie
Annals of Mathematics Studies
Antal sidor
448
Utgivningsdatum
1990-09-21
Förlag
Princeton University Press
Dimensioner
230 x 151 x 28 mm
Vikt
627 g
ISBN
9780691085999

Exponential Sums and Differential Equations

av Nicholas M Katz
Häftad,  Engelska, 1990-09-21
988

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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.

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