Error term of the mean value theorem for binary Egyptian fractions

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.

Bibliographic Details
Main Authors: Xiao Xuanxuan, Zhai Wenguang
Format: Article
Language:English
Published: De Gruyter 2020-11-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2020-0091