ENGLISH

Galois Theory of Difference Equations

By Marius van der Put , Michael F. Singer (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1997
ISBN
3540632433, 9783540632436
DOI
10.1007/BFb0096118
LCC
QA3 .L28 no. 1666,QA431 .L28 no. 1666
Google Books ID
F9oZAQAAIAAJ
Open Library ID
OL688737M
Language
english
Format
PDF
Filesize
8 MB (7924730 bytes)
Series
Lecture Notes in Mathematics 1666
Edition
1
Pages
188\183
Orientation
yes
Scanned
no
Time added
2011-08-31 04:54:40
Analysis; Algebra

Description

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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