Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-23T01:45:27.847Z Has data issue: false hasContentIssue false
  • English
  • Français

The Number of Solutions of Polynomial-Exponential Equations

Published online by Cambridge University Press:  04 December 2007

H. P. Schlickewei  and
W. P. Schmidt
H. P. Schlickewei
Affiliation:
Fachbereich Mathematik, Universität Marburg, Lahnberge, 35032 Marburg, Germany
W. P. Schmidt
Affiliation:
Fachbereich Mathematik, Universität Marburg, Lahnberge, 35032 Marburg, Germany
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We will give explicit bounds for the number of solutions of polynomial-exponential equations. In contrast to earlier work, the bounds are independent of the coefficients of the equations, and they are of only single exponential growth in the number of coefficients.

Keywords

exponential diophantine equationslinear recurrence sequences
Type
Research Article
Information
Compositio Mathematica , Volume 120 , Issue 2 , January 2000 , pp. 193 - 225
Copyright
© 2000 Kluwer Academic Publishers