EXPONENTIAL SUMS AND DIFFERENTIAL EQUATIONS. (AM-124), VOLUME 124 by Nicholas M. Katz ( 9780691085999 )

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Title:

EXPONENTIAL SUMS AND DIFFERENTIAL EQUATIONS. (AM-124), VOLUME 124

By:

Nicholas M. Katz

Format:

Paperback

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£100.00

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£80.00

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ISBN 10:

0691085994

ISBN 13:

9780691085999

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Publisher:

PRINCETON UNIVERSITY PRESS

Pub. date:

1 September, 1990

Series:

Annals of Mathematics Studies 124

Pages:

448

Description:

Deals with two areas of mathematics, at first sight disjoint, and with some of the analogies and interactions between them. This 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).

Synopsis:

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.

Publication:

Imprint:

Princeton University Press

Returns:

Returnable

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EXPONENTIAL SUMS AND DIFFERENTIAL EQUATIONS. (AM-124)