The Number of Solutions of Polynomial-Exponential Equations

2000/01/01 by H. P. Schlickewei, Hans Peter Schlickewei, Wolfgang Schmidt +1 · 2 citations
Mathematics · #Advanced Differential Equations and Dynamical Systems #Meromorphic and Entire Functions #Algebraic Geometry and Number Theory

paper · pdf · doi:10.1023/a:1001719425893

Abstract

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.

Citations

• Linear Equations in Variables which Lie in a Multiplicative Group

Cited by

• On numbers n dividing the nth term of a linear recurrence
• Decidability of multiplicative matrix equations and related Diophantine problems

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