Exponential Sums and Differential Equations
Book Details
Format
Paperback / Softback
Book Series
Annals of Mathematics Studies
ISBN-10
0691085994
ISBN-13
9780691085999
Publisher
Princeton University Press
Imprint
Princeton University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Sep 21st, 1990
Print length
448 Pages
Weight
626 grams
Product Classification:
Number theoryDifferential calculus & equationsDifferential calculus and equations
Ksh 19,800.00
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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).
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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