Error term of the mean value theorem for binary Egyptian fractions

DOI10.1515/math-2020-0091zbMath1475.11052OpenAlexW3112354261MaRDI QIDQ2053502

Xuanxuan Xiao, Zhai, Wenguang

Publication date: 29 November 2021

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2020-0091

zbMATH Keywords

error termsbinary Egyptian fractions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Rational numbers as sums of fractions (11D68)

Related Items

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

Cites Work

• Unnamed Item
• Unnamed Item
• The number of representations of rationals as a sum of unit fractions
• The estimate for mean values on prime numbers relative to \(\frac{4}{p} = \frac{1}{n_1} + \frac{1} {n_2} + \frac{1} {n_3}\)
• Mean value theorems for binary Egyptian fractions
• Mean value from representation of rational number as sum of two Egyptian fractions
• Short interval results for a class of integers
• Binary Egyptian fractions
• Second moment of error term of mean value for binary Egyptian fractions
• Topics in multiplicative number theory
• COUNTING THE NUMBER OF SOLUTIONS TO THE ERDŐS–STRAUS EQUATION ON UNIT FRACTIONS
• Mean value theorems for binary Egyptian fractions II
• Refined Estimates for Exponential Sums and a Problem Concerning the Product of Three L-Series
• On the exceptional set for binary Egyptian fractions
• Summation Formulae for Coefficients of L-functions
• On a problem of Erdös, Straus and Schinzel