Differential Galois Theory-van der Put-Singer
pdf | 2.61 MB | Author :Marius van der Put

Book Description :

This book lays the algebraic foundations of a Galois theory of linear difference equations and sho 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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