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Counting the number of solutions to the Erdos-Straus equation on unit fractions
the Erdos-Straus equation unit fractions Number Theory
2011/8/25
Abstract: For any positive integer $n$, let $f(n)$ denote the number of solutions to the Diophantine equation $\frac{4}{n} = \frac{1}{x} + \frac{1}{y} + \frac{1}{z}$ with $x,y,z$ positive integers. Th...