RESEARCH ARTICLE

Second moment of error term of mean value for binary Egyptian fractions

  • Xuanxuan XIAO , 1 ,
  • Wenguang ZHAI 2
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  • 1. Faculty of Information Technology, Macau University of Science and Technology, Macau, China
  • 2. Department of Mathematics, China University of Mining and Technology, Beijing 100083, China

Received date: 23 Nov 2019

Accepted date: 30 Jan 2020

Published date: 15 Feb 2020

Copyright

2020 Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature

Abstract

We study the mean square of the error term of the mean value for binary Egyptian fractions. We get an asymptotic formula under the Riemann Hypothesis.

Cite this article

Xuanxuan XIAO , Wenguang ZHAI . Second moment of error term of mean value for binary Egyptian fractions[J]. Frontiers of Mathematics in China, 2020 , 15(1) : 183 -204 . DOI: 10.1007/s11464-020-0820-6

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