Abstract In this article, the error term of the mean value theorem for binary Egyptian fractions is studied. An error term of prime number theorem type is obtained unconditionally. Under Riemann hypothesis, a power saving can be obtained. The mean value in short interval is also considered.

中文翻译：

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二元埃及分数的均值定理的误差项

摘要 本文研究了二元埃及分数均值定理的误差项。无条件得到素数定理类型的误差项。在黎曼假设下，可以获得省电。还考虑了短区间的平均值。