On the reducibility of some special quadrinomials

Yong Zhang; Huilin Zhu

On the reducibility of some special quadrinomials

Number Theory 2016-05-24 v2

Authors: Yong Zhang , Huilin Zhu

Abstract

Let $n>m>k$ be positive integers and let $a,b,c$ be nonzero rational numbers. We consider the reducibility of some special quadrinomials $x^n+ax^m+bx^k+c$ with $n=4$ and 5, which related to the study of rational points on certain elliptic curves or hyperelliptic curves.

Keywords

quadrinomials reducibility elliptic curves hyperelliptic curves rational points

Cite

@article{arxiv.1605.01294,
  title  = {On the reducibility of some special quadrinomials},
  author = {Yong Zhang and Huilin Zhu},
  journal= {arXiv preprint arXiv:1605.01294},
  year   = {2016}
}

Comments

16 pages. Any comments are welcome!

Related papers

View all related →