Open Mathematics (Nov 2020)

Error term of the mean value theorem for binary Egyptian fractions

  • Xiao Xuanxuan,
  • Zhai Wenguang

DOI
https://doi.org/10.1515/math-2020-0091
Journal volume & issue
Vol. 18, no. 1
pp. 1250 – 1265

Abstract

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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.

Keywords