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arXiv · 1108.0096

Mean Value Theorems for Binary Egyptian Fractions

Jing-Jing Huang·Robert C. Vaughan
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Abstract

In this paper, we establish two mean value theorems for the number of solutions of the Diophantine equation $\frac{a}{n}=\frac{1}{x}+\frac{1}{y}$, in the case when $a$ is fixed and $n$ varies and in the case when both $a$ and $n$ vary.

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Jing-Jing Huang, Robert C. Vaughan. 2011-07-30. Mean Value Theorems for Binary Egyptian Fractions. https://arxiv.org/abs/1108.0096

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