On Symmetries of Elliptic Nets and Valuations of Net Polynomials
Number Theory
2014-08-29 v1
Abstract
Under certain conditions, we prove that the set of zeros of an elliptic net forms an Abelian group. We present two applications of this fact. Firstly we give a generalization of a theorem of Ayad on valuations of division polynomials in the context of net polynomials. Secondly we generalize a theorem of Ward on symmetry of elliptic divisibility sequences to the case of elliptic nets.
Cite
@article{arxiv.1408.6623,
title = {On Symmetries of Elliptic Nets and Valuations of Net Polynomials},
author = {Amir Akbary and Jeff Bleaney and Soroosh Yazdani},
journal= {arXiv preprint arXiv:1408.6623},
year = {2014}
}