Some classes of Diophantine equations connected with McFarland's and Ma's conjectures

Zhenfu Cao; Aleksander Grytczuk

ArticleOriginal scientific text

Title

Some classes of Diophantine equations connected with McFarland's and Ma's conjectures

Authors ¹, ²

Affiliations

Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China
Institute of Mathematics, Kotarbiński Pedagogical University, pl. Słowiański 6, 65-069 Zielona Góra, Poland

Abstract

In this paper we consider some special classes of Diophantine equations connected with McFarland's and Ma's conjectures about difference sets in abelian groups and we obtain an extension of known results.

Keywords

ENG

difference sets, diophantine equations, Pell's equations

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Title

Some classes of Diophantine equations connected with McFarland's and Ma's conjectures

Affiliations

Abstract

Keywords

Bibliography