Open Access
2000 On sums of three unit fractions with polynomial denominators
A. Schinzel
Funct. Approx. Comment. Math. 28: 187-194 (2000). DOI: 10.7169/facm/1538186694

Abstract

The equation $m/(ax+b)=1/F_{1}(x)+1/F_{2}(x)+1/F_{3}(x)$ is shown to be impossible under some conditions on polynomials $ax+b$ and $F_{1}, \ F_{2}, \ F_{3}$.

Dedication

Dedicated to Włodzimierz Staś on the occasion of his 75th birthday

Citation

Download Citation

A. Schinzel. "On sums of three unit fractions with polynomial denominators." Funct. Approx. Comment. Math. 28 187 - 194, 2000. https://doi.org/10.7169/facm/1538186694

Information

Published: 2000
First available in Project Euclid: 29 September 2018

zbMATH: 0974.11015
MathSciNet: MR1824003
Digital Object Identifier: 10.7169/facm/1538186694

Subjects:
Primary: 11D68

Keywords: parametric solutions , polynomials , unit fractions

Rights: Copyright © 2000 Adam Mickiewicz University

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