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Princeton University Press - Exponential Sums and Differential Equations

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Description

Explore the connection between two seemingly separate mathematical fields in this volume from the Annals of Mathematics Studies series. This book examines the theory of linear differential equations in one complex variable with polynomial coefficients alongside the theory of one parameter families of exponential sums over finite fields. By reviewing results from representation theory, the text investigates the relationships between differential equations and their differential Galois groups (G) and one-parameter families of exponential sums and their geometric monodromy groups (G). This work provides a detailed look at the analogies and interactions that exist between these two areas of mathematical theory.

Key Features

Published by Princeton University Press as part of the Annals of Mathematics Studies, volume 124.

Covers the theory of linear differential equations in one complex variable with polynomial coefficients.

Examines the theory of one parameter families of exponential sums over finite fields.

Discusses results regarding differential Galois groups (G) and geometric monodromy groups (G).

Includes a review of results from representation theory to connect different mathematical areas.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
21 September 1990
Listed Since
10 December 2006

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