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On the solutions of a Lebesgue - Nagell type equation

Number Theory 2018-12-24 v3
Authors: Sanjay Bhatter , Azizul Hoque , Richa Sharma
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Abstract

We find all positive integer solutions in x,yx, y and nn of x2+192k+1=4ynx^2+19^{2k+1}=4y^{n} for any non-negative integer kk.

Keywords

lebesgue-nagell equation diophantine equation positive integer solutions exponential diophantine

Cite

@article{arxiv.1810.04512,
  title  = {On the solutions of a Lebesgue - Nagell type equation},
  author = {Sanjay Bhatter and Azizul Hoque and Richa Sharma},
  journal= {arXiv preprint arXiv:1810.04512},
  year   = {2018}
}

Comments

10 Pages. To appear in Acta Mathematica Hungarica

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