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

共 50 条

[1] On ternary Egyptian fractions with prime denominator
Florian Luca
Francesco Pappalardi
Research in Number Theory, 2019, 5
[2] Ternary Egyptian fractions with prime denominator
Mond, Adva
Portier, Julien
RESEARCH IN NUMBER THEORY, 2022, 8 (03)
[3] Ternary Egyptian fractions with prime denominator
Adva Mond
Julien Portier
Research in Number Theory, 2022, 8
[4] NUMBERS BADLY APPROXIMABLE BY FRACTIONS WITH PRIME DENOMINATOR
HARMAN, G
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1995, 118 : 1 - 5
[5] Egyptian Fractions and Prime Power Divisors
Machacek, John
JOURNAL OF INTEGER SEQUENCES, 2018, 21 (03)
[6] EGYPTIAN FRACTIONS
VOSE, MD
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1985, 17 (JAN) : 21 - 24
[7] DENOMINATOR SYSTEMS AND MODULES OF GENERALIZED FRACTIONS
HAMIEH, MA
ZAKERI, H
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1986, 33 : 237 - 244
[8] The other even-denominator fractions
Pan, W
Yeh, AS
Xia, JS
Stormer, HL
Tsui, DC
Adams, ED
Pfeiffer, LN
Baldwin, KW
West, KW
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2001, 9 (01): : 9 - 16
[9] EGYPTIAN FRACTIONS
MONTGOMERY, PL
AMERICAN MATHEMATICAL MONTHLY, 1979, 86 (03): : 224 - 224
[10] The set of prime divisors of generalized denominator ideals
Baba K.
Yoshida K.-I.
Arabian Journal of Mathematics, 2013, 2 (4) : 333 - 343

← 1 2 3 4 5 →