Galois theories of linear difference equations
Subtitle: an introduction
By: Charlotte Hardouin, Jacques Sauloy, Michael F. Singer
Contributors: Sauloy, Jacques; Singer, Michael F., 1950-
Series: Mathematical surveys and monographs -- volume 211
Publisher: American Mathematical Society
Published: 2016
Place of publication: Providence, Rhode Island
Language: eng
Number of pages: 171
ISBN-13: 9781470426552
Subjects: Difference and functional equations -- Difference equations -- Difference equations, scaling ($q$-differences); Combinatorics -- Enumerative combinatorics -- Combinatorial identities, bijective combinatorics; Field theory and polynomials -- Differential and difference algebra -- Difference algebra; Group theory and generalizations -- Linear algebraic groups and related topics -- Linear algebraic groups over arbitrary fields; Difference and functional equations -- Difference equations -- Difference equations, additive; Galois theory; Group theory and generalizations -- Other groups of matrices -- Other matrix groups over fields; Field theory and polynomials -- Differential and difference algebra -- Differential algebra; Difference equations; Difference and functional equations -- Difference equations -- Linear equations
Notes: Includes bibliographical references.
Table of contents: title: Preface; title: Algebraic and algorithmic aspects of linear difference equations / Michael F. Singer; title: Galoisian approach to differential transcendence / Charlotte Hardouin; title: Analytic study of q-difference equations / Jacques Sauloy.