On the Diophantine equation X2N+22α52βp2γ = Z5

被引：0

作者：

Goedhart, Eva G. ^{[1
]}

Grundman, Helen G. ^{[2
]}

机构：

[1] Lebanon Valley Coll, Dept Math Sci, Annville, PA 17003 USA

[2] Bryn Mawr Coll, Dept Math, Bryn Mawr, PA 19010 USA

来源：

PERIODICA MATHEMATICA HUNGARICA | 2017年 / 75卷 / 02期

关键词：

Diophantine equations; Modular approach; X(2)+2(A); CURVES;

D O I：

10.1007/s10998-017-0185-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that for each prime p, positive integer a, and non-negative integers beta and gamma, the Diophantine equation X-2N + 2(2 alpha)5(2 beta) p(2 gamma) = Z(5) has no solution with N, X, Z is an element of Z(+), N > 1, and gcd(X, Z) = 1.

引用

页码：196 / 200

页数：5

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