T. N. Shorey,
R. Tijdeman
Cambridge University Press
e druk, 2008
9780521091701
Exponential Diophantine Equations
Specificaties
Paperback, 252 blz.
|
Engels
Cambridge University Press |
e druk, 2008
ISBN13: 9780521091701
Rubricering
Onderdeel van serie
Cambridge Tracts in
Levertijd ongeveer 8 werkdagen
Samenvatting
This is a integrated presentation of the theory of exponential diophantine equations. The authors present, in a clear and unified fashion, applications to exponential diophantine equations and linear recurrence sequences of the Gelfond-Baker theory of linear forms in logarithms of algebraic numbers. Topics covered include the Thue equations, the generalised hyperelliptic equation, and the Fermat and Catalan equations. The necessary preliminaries are given in the first three chapters. Each chapter ends with a section giving details of related results.
Specificaties
ISBN13:9780521091701
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:252
Uitgever:Cambridge University Press
Serie:Cambridge Tracts in
Inhoudsopgave
Part I. Preliminaries: Part II. Diophantine equations and recurrence sequences: 1. Purely exponential equations; 2. Binary recurrence sequences with rational roots; 3. Binary recurrence sequences; 4. Recurrence sequences of order 2, 3 and 4; 5. The Thue equation; 6. The superelliptic equation; 7. The Thue-Mahler equation; 8. The generalised superelliptic equation; 9. Perfect powers in binary recurrence sequences; 10. Perfect powers at integral values of a polynomial; 11. The Fermat equation; 12. The Catalan equation and related equations.