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Descent methods for studying integer points on $y^{n}=f(x)g(x),\ n\ge 2$

Number Theory 2022-09-19 v1

Abstract

We study the integer points on superelliptic and hyperelliptic curves of the form yn=f(x)g(x),y^n=f(x)g(x), n2,degf+degg4.n\ge 2, {\rm{deg}}{f}+{\rm{deg}}{g}\ge 4.

Keywords

Cite

@article{arxiv.2209.07909,
  title  = {Descent methods for studying integer points on $y^{n}=f(x)g(x),\ n\ge 2$},
  author = {K. A. Draziotis},
  journal= {arXiv preprint arXiv:2209.07909},
  year   = {2022}
}