Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Exponential Sums and Differential Equations

Exponential Sums and Differential Equations

Katz, Nicholas M.

Paperback

Series: Annals of Mathematics Studies, Book 124

General Mathematics

ISBN10: 0691085994
ISBN13: 9780691085999
Publisher: Princeton University Press
Published: Sep 21 1990
Pages: 448
Weight: 1.38
Height: 1.11 Width: 5.94 Depth: 9.06
Language: English

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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