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

8 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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doi = "10.1016/j.jnt.2011.04.001",

language = "English (US)",

volume = "131",

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journal = "Journal of Number Theory",

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AU - Huang, Jingjing

AU - Vaughan, Robert C.

N1 - Funding Information: ✩ Research supported by NSA grant number H98230-09-1-0015.

PY - 2011/9

Y1 - 2011/9

N2 - 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.

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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DO - 10.1016/j.jnt.2011.04.001

M3 - Article

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SP - 1641

EP - 1656

JO - Journal of Number Theory

JF - Journal of Number Theory

SN - 0022-314X

IS - 9

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Mean value theorems for binary Egyptian fractions

Abstract

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