Exponential diophantine equations

Bibliographic Information

Exponential diophantine equations

T.N. Shorey, R. Tijdeman

(Cambridge tracts in mathematics, 87)

Cambridge University Press, 2008, c1986

  • : pbk

Available at  / 3 libraries

Search this Book/Journal

Note

"Digitally printed version"--T.p. verso

Includes bibliographical references (p. 221-238) and index

Description and Table of Contents

Description

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.

Table of Contents

  • 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.

by "Nielsen BookData"

Related Books: 1-1 of 1

Details

  • NCID
    BA9010357X
  • ISBN
    • 9780521091701
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cambridge
  • Pages/Volumes
    x, 240 p.
  • Size
    23 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
Page Top