Overview

"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."

Full Product Details

Author:   Nicholas M. Katz
Publisher:   Princeton University Press
Imprint:   Princeton University Press
Volume:   130
Dimensions:   Width: 15.20cm , Height: 2.50cm , Length: 22.90cm
Weight:   0.624kg
ISBN:  

9780691085999

ISBN 10:   0691085994
Pages:   448
Publication Date:   21 September 1990
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.
Language:   English

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