On ternary Egyptian fractions with prime denominator

被引：4

作者：

Luca, Florian ^{[1
,2
,3
]}

Pappalardi, Francesco ^{[4
]}

机构：

[1] Univ Witwatersrand, Sch Math, Private Bag 3, ZA-2050 Johannesburg, South Africa

[2] King Abdulaziz Univ, Res Grp Algebra Struct & Applicat, Jeddah, Saudi Arabia

[3] Univ Ostrava, Fac Sci, Dept Math, 30 Dubna 22, Ostrava 70103 1, Czech Republic

[4] Univ Roma Tre, Dipartimento Matemat & Fis, Largo SL Murialdo 1, I-00141 Rome, Italy

来源：

RESEARCH IN NUMBER THEORY | 2019年 / 5卷 / 04期

关键词：

D O I：

10.1007/s40993-019-0172-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove upper and lower bound for the average value over primes p of the number of positive integers a such that the fraction a / p can be written as the sum of three unit fractions.

引用

页数：14

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