On the Diophantine equation x4 - q4 = pyr

被引：3

作者：

Bajolet, Aurelien ^{[1
]}

Dupuy, Benjamin ^{[1
]}

Luca, Florian ^{[2
]}

Togbe, Alain ^{[3
]}

机构：

[1] Univ Bordeaux 1, Inst Math, F-33404 Talence, France

[2] Univ Nacl Autonoma Mexico, Ctr Ciencias Matemat, Morelia 58089, Michoacan, Mexico

[3] Purdue Univ, Dept Math, Westville, IN 46391 USA

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2011年 / 79卷 / 3-4期

关键词：

exponential Diophantine equations; INTEGRAL SOLUTIONS; POINTS; BOUNDS;

D O I：

10.5486/PMD.2011.5040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we characterize up to finitely many exceptions all the solutions of the Diophantine equation x(4) - q(4) = py(r) with r > 3 a fixed prime. When r = 5, we show that there are no exceptions.

引用

页码：269 / 282

页数：14

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