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Lecture Notes in Mathematics - 1666: Galois Theory of Difference Equations

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  • 196 páginas
  • 7 horas de lectura

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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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Lecture Notes in Mathematics - 1666: Galois Theory of Difference Equations, Marius van der Put, Michael F. Singer

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Publicado en
1997
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Título
Lecture Notes in Mathematics - 1666: Galois Theory of Difference Equations
Idioma
Inglés
Editorial
Springer
Publicado en
1997
Formato
Tapa blanda
Páginas
196
ISBN10
3540632433
ISBN13
9783540632436
Serie
Descripción
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.