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Galois Theory of Difference Equations

Galois Theory of Difference Equations

Paperback

Series: Lecture Notes in Mathematics, Book 1666

AlgebraGeneral MathematicsGeometry

ISBN10: 3540632433
ISBN13: 9783540632436
Publisher: Springer
Published: Sep 18 1997
Pages: 188
Weight: 0.62
Height: 0.42 Width: 6.14 Depth: 9.21
Language: English
This book lays the algebraic foundations of a Galois theory of linear difference equations and shows its relationship to the analytic problem of finding meromorphic functions asymptotic to formal solutions of difference equations. Classically, this latter question was attacked by Birkhoff and Tritzinsky and the present work corrects and greatly generalizes their contributions. In addition results are presented concerning the inverse problem in Galois theory, effective computation of Galois groups, algebraic properties of sequences, phenomena in positive characteristics, and q-difference equations. The book is aimed at advanced graduate researchers and researchers.

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