The extendibility of Diophantine pairs II: Examples

JOURNAL OF NUMBER THEORY

卷:145

Article

Filipin, Alan¹  Fujita, Yasutsugu²  Togbe, Alain³ 

[1] Univ Zagreb, Fac Civil Engn, Zagreb 10000, Croatia

[2] Nihon Univ, Coll Ind Technol, Dept Math, Narashino, Chiba 275, Japan

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

关键词: Diophantine tuples;    Simultaneous Diophantine equations;   

DOI  :  10.1016/j.jnt.2014.06.020

来源: Elsevier

【 摘 要 】

This paper is a continuation of a recent paper (see [10]), in which for a fixed Diophantine pair {a, b} with a < b, we gave an upper bound for minimal c such that {a, b, c, d} is an irregular Diophantine quadruple with b < c < d. Here, we provide three very good examples to support the theory developed in [10]. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free