On the diophantine equation x2 + 2a · 3b · 11c= yn


CANGÜL İ. N., DEMİRCİ M., İNAM İ., Luca F., SOYDAN G.

Mathematica Slovaca, vol.63, no.3, pp.647-659, 2013 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 63 Issue: 3
  • Publication Date: 2013
  • Doi Number: 10.2478/s12175-013-0125-2
  • Journal Name: Mathematica Slovaca
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.647-659
  • Keywords: exponential Diophantine equations, primitive divisors of Lucas sequences
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

In this note, we find all the solutions of the Diophantine equation x2 + 2a middot; 3b · 11c = yn, in nonnegative integers a, b, c, x, y, n ≥ 3 with x and y coprime. © 2013 Versita Warsaw and Springer-Verlag Wien.