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

Xuanxuan XIAO, Wenguang ZHAI

PDF(337 KB)
PDF(337 KB)
Front. Math. China ›› 2020, Vol. 15 ›› Issue (1) : 183-204. DOI: 10.1007/s11464-020-0820-6
RESEARCH ARTICLE
RESEARCH ARTICLE

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

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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.

Keywords

Binary Egyptian fractions / mean values / error terms

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Xuanxuan XIAO, Wenguang ZHAI. Second moment of error term of mean value for binary Egyptian fractions. Front. Math. China, 2020, 15(1): 183‒204 https://doi.org/10.1007/s11464-020-0820-6

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