A DIOPHANTINE EQUATION INVOLVING SPECIAL PRIME NUMBERS

被引：2

作者：

Dimitrov, Stoyan ^{[1
]}

机构：

[1] Tech Univ Sofia, 8 Kl Ohridski Blvd, Sofia 1000, Bulgaria

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2023年 / 73卷 / 01期

关键词：

Diophantine equation; prime; exponential sum; asymptotic formula; EXPONENTIAL-SUMS; INEQUALITY;

D O I：

10.21136/CMJ.2022.0469-21

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let [.] be the floor function. In this paper, we prove by asymptotic formula that when 1 < c < 3441/2539, then every sufficiently large positive integer N can be represented in the form N = [p(1)(c)] + [p(2)(c)] + [p(3)(c)] + [p(4)(c)] + [p(5)(c)], where p(1), p(2), p(3), p(4), p(5) are primes such that p(1) = x(2) + y(2) + 1.

引用

页码：151 / 176

页数：26

共 50 条

[41] DIOPHANTINE REPRESENTATION OF SET OF PRIME NUMBERS
JONES, JP
SATO, D
WADA, H
WIENS, D
AMERICAN MATHEMATICAL MONTHLY, 1976, 83 (06): : 449 - 464
[42] On a Diophantine inequality involving prime powers
Shi, Sanying
Liu, Li
MONATSHEFTE FUR MATHEMATIK, 2013, 169 (3-4): : 423 - 440
[43] On a Diophantine inequality involving prime powers
Sanying Shi
Li Liu
Monatshefte für Mathematik, 2013, 169 : 423 - 440
[44] AN EXPONENTIAL DIOPHANTINE EQUATION INVOLVING THE SUM OR DIFFERENCE OF POWERS OF TWO PELL NUMBERS
Rihane, Salah Eddine
Togbe, Alain
MATHEMATICA SLOVACA, 2022, 72 (03) : 601 - 610
[45] ON A DIOPHANTINE EQUATION ON TRIANGULAR NUMBERS
Hamtat, Abdelkader
Behloul, Djilali
MISKOLC MATHEMATICAL NOTES, 2017, 18 (02) : 779 - 786
[46] On a Diophantine equation involving primes
Cai, Yingchun
RAMANUJAN JOURNAL, 2019, 50 (01): : 151 - 162
[47] On a Diophantine equation involving primes
Yingchun Cai
The Ramanujan Journal, 2019, 50 : 151 - 162
[48] On a System of two Diophantine Equations with Prime Numbers
Kumchev, A.
Doklady Bolgarskoj Akademija Nauk, 49 (01):
[49] DIOPHANTINE APPROXIMATION BY PRIME NUMBERS .2.
VAUGHAN, RC
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1974, 28 (MAY) : 385 - 401
[50] DIOPHANTINE APPROXIMATION BY PRIME NUMBERS .3.
VAUGHAN, RC
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1976, 33 (JUL) : 177 - 192

← 1 2 3 4 5 →