English

On the Diophantine equation cy^l=(x^p-1)/(x-1)

Number Theory 2013-02-26 v1

Abstract

Let p, c be distinct odd primes, and l \ge 2 an integer. We find sufficient conditions for the Diophantine equation cy^l=(x^p-1)/(x-1) not to have integer solutions

Keywords

Cite

@article{arxiv.1206.0424,
  title  = {On the Diophantine equation cy^l=(x^p-1)/(x-1)},
  author = {Mohammad Sadek},
  journal= {arXiv preprint arXiv:1206.0424},
  year   = {2013}
}

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7 pages