On The Diophantine Equation x1a + x2a + ... + xma = pkyb

被引：0

作者：

Balfaqih, Abdulrahman ^{[1
,2
]}

Kamarulhaili, Hailiza ^{[2
]}

机构：

[1] Hadhramout Univ, Fac Educ Seyoun, Dept Math, POB 50511-50512, Al Mukalla, Yemen

[2] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia

来源：

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH 2018): INNOVATIVE TECHNOLOGIES FOR MATHEMATICS & MATHEMATICS FOR TECHNOLOGICAL INNOVATION | 2019年 / 2184卷

关键词：

D O I：

10.1063/1.5136367

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider Diophantine equation x(1)(a) + x(2)(a) + ... + x(m)(a) = p(k)y(b) where a, b, k are positive integers, (a, b) = 1, m and p are primes and x(1), x(2), ... , x(m), y are integers with x(1) = x(2) = ... = x(m). We solve this equation parametrically by considering two different cases depending on prime numbers m and p where m = p or m not equal p.

引用

页数：10

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