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Exponential Sums and Differential Equations (Annals of Mathematics Studies)
  

Exponential Sums and Differential Equations (Annals of Mathematics Studies) (Hardcover)

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  Hardcover, November 30, 1990 -- $49.99 --
  Paperback, August 31, 1990 $70.00 $50.00 $64.52

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Product Description

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.

Product Details

  • Hardcover: 448 pages
  • Publisher: Princeton Univ Pr (December 1990)
  • Language: English
  • ISBN-10: 0691085986
  • ISBN-13: 978-0691085982
  • Product Dimensions: 9.1 x 6.5 x 1.3 inches
  • Shipping Weight: 1.7 pounds
  • Average Customer Review: No customer reviews yet. Be the first.
  • Amazon.com Sales Rank: #7,885,981 in Books (See Bestsellers in Books)

More About the Author

Nicholas M. Katz
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