Mean value theorems for binary Egyptian fractions

Jingjing Huang; Robert C. Vaughan

doi:10.1016/j.jnt.2011.04.001

Mean value theorems for binary Egyptian fractions

Jingjing Huang, Robert C. Vaughan

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this paper, we establish two mean value theorems for the number of solutions of the Diophantine equation an=1x+1y, in the case when a is fixed and n varies and in the case when both a and n vary.

Original language	English (US)
Pages (from-to)	1641-1656
Number of pages	16
Journal	Journal of Number Theory
Volume	131
Issue number	9
DOIs	https://doi.org/10.1016/j.jnt.2011.04.001
State	Published - Sep 2011

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jnt.2011.04.001

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title = "Mean value theorems for binary Egyptian fractions",

abstract = "In this paper, we establish two mean value theorems for the number of solutions of the Diophantine equation an=1x+1y, in the case when a is fixed and n varies and in the case when both a and n vary.",

author = "Jingjing Huang and Vaughan, {Robert C.}",

note = "Funding Information: ✩ Research supported by NSA grant number H98230-09-1-0015.",

year = "2011",

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AU - Huang, Jingjing

AU - Vaughan, Robert C.

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PY - 2011/9

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AB - In this paper, we establish two mean value theorems for the number of solutions of the Diophantine equation an=1x+1y, in the case when a is fixed and n varies and in the case when both a and n vary.

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