English

The Method Of Thue-Siegel For Binary Quartic Forms

Number Theory 2015-05-13 v1

Abstract

We will use Thue-Siegel method, based on Pad\'e approximation via hypergeometric functions, to give upper bounds for the number of integral solutions to the equation F(x,y)=1|F(x, y)| = 1 as well as the inequalities F(x,y)h|F(x, y)| \leq h, for a certain family of irreducible quartic binary forms.

Keywords

Cite

@article{arxiv.0906.5238,
  title  = {The Method Of Thue-Siegel For Binary Quartic Forms},
  author = {Shabnam Akhtari},
  journal= {arXiv preprint arXiv:0906.5238},
  year   = {2015}
}

Comments

A version of this paper is to appear in Acta. Arith

R2 v1 2026-06-21T13:18:52.584Z