English

Remark on a Paper by Izadi and Baghalaghdam about Cubes and Fifth Powers Sums

Number Theory 2019-06-25 v2

Abstract

In this paper, we refine the method introduced by Izadi and Baghalaghdam to search integer solutions to the Diophantine equation X15+X25+X35=Y13+Y23+Y33X_1^5+X_2^5+X_3^5=Y_1^3+Y_2^3+Y_3^3. We show that the Diophantine equation has infinitely many positive solutions.

Keywords

Cite

@article{arxiv.1812.07061,
  title  = {Remark on a Paper by Izadi and Baghalaghdam about Cubes and Fifth Powers Sums},
  author = {Gaku Iokibe},
  journal= {arXiv preprint arXiv:1812.07061},
  year   = {2019}
}

Comments

To appear in Math. J. Okayama Univ