On the Diophantine equation x(2)+3(a)41(b) = y(n)

ALAN M., Zengin U.

PERIODICA MATHEMATICA HUNGARICA, vol.81, no.2, pp.284-291, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 81 Issue: 2
  • Publication Date: 2020
  • Doi Number: 10.1007/s10998-020-00321-6
  • Journal Name: PERIODICA MATHEMATICA HUNGARICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Page Numbers: pp.284-291
  • Yıldız Technical University Affiliated: Yes

Abstract

In this paper we find all positive integer solutions (x, y, n, a, b) of the equation in the title for non negative integers a and b under the condition that the integers x and y are relatively prime and n >= 3.