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On the Diophantine Equation $x^{2}+5^{a}\cdot 11^{b}=y^{n} $

Number Theory 2010-01-15 v1
Authors: I. N. Cangül , M. Demirci , G. Soydan , N. Tzanakis
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Abstract

We give the complete solution in integers (n,a,b,x,y)(n,a,b,x,y) of the title equation when gcd⁡(x,y)=1\gcd(x,y)=1, except for the case when xabxab is odd.

Keywords

Diophantine equation exponential equation integer solutions number theory

Cite

@article{arxiv.1001.2525,
  title  = {On the Diophantine Equation $x^{2}+5^{a}\cdot 11^{b}=y^{n} $},
  author = {I. N. Cangül and M. Demirci and G. Soydan and N. Tzanakis},
  journal= {arXiv preprint arXiv:1001.2525},
  year   = {2010}
}

Comments

21 pages. To appear in Funct. Approx. Comment. Math

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