Exponential Diophantine Equations

T. N. Shorey, R. Tijdeman (Autoren)

Buch | Softcover

252 Seiten

2008
Cambridge University Press (Verlag)
978-0-521-09170-1 (ISBN)

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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.

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.

Erscheint lt. Verlag	4.12.2008
Reihe/Serie	Cambridge Tracts in Mathematics
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	englisch
Maße	152 x 229 mm
Gewicht	380 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	0-521-09170-5 / 0521091705
ISBN-13	978-0-521-09170-1 / 9780521091701
Zustand	Neuware