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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
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Abstract

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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