Mean value theorems for binary Egyptian fractions

DOI10.1016/j.jnt.2011.04.001zbMath1239.11038arXiv1108.0096OpenAlexW2962816151MaRDI QIDQ548053

Robert C. Vaughan, Jing-Jing Huang

Publication date: 27 June 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.0096

zbMATH Keywords

Dirichlet \(L\)-functionsBinary Egyptian fractions

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Rational numbers as sums of fractions (11D68)

Related Items (7)

Second moment of error term of mean value for binary Egyptian fractions ⋮ Egyptian fractions of bounded length ⋮ On Egyptian fractions of length 3 ⋮ Error term of the mean value theorem for binary Egyptian fractions ⋮ Mean value from representation of rational number as sum of two Egyptian fractions ⋮ COUNTING THE NUMBER OF SOLUTIONS TO THE ERDŐS–STRAUS EQUATION ON UNIT FRACTIONS ⋮ On ternary Egyptian fractions with prime denominator

Cites Work

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• On the diophantine equation \(\sum ^{k}_{i=0}1/x_ i=a/n\)
• Binary Egyptian fractions
• Topics in multiplicative number theory
• On a problem of Erdös, Straus and Schinzel
• ERROR TERMS IN ADDITIVE PRIME NUMBER THEORY
• On the diophantine equations $\prod_{0}^k x_i - \sum_{0}^k x_i = n and \sum_{0}^k 1/x_i = a/n$

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