On the diophantine equation x (2)+2 (a) center dot 3 (b) center dot 11 (c) = y (n)

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Cangül İ. N., Demirci M., Inam I., Luca F., Soydan G.

MATHEMATICA SLOVACA, vol.63, pp.647-659, 2013 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 63
  • 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, POWER VALUES, X(2)+2(A)
  • Bursa Uludag University Affiliated: Yes

Abstract

In this note, we find all the solutions of the Diophantine equation x (2) + 2 (a) center dot 3 (b) center dot 11 (c) = y (n) , in nonnegative integers a, b, c, x, y, n a parts per thousand yen 3 with x and y coprime.