On simultaneous arithmetic progressions on elliptic curves
Number Theory
2010-05-31 v1
Abstract
In this paper we study elliptic curves which have a number of points whose coordinates are in arithmetic progression. We first motivate this diophantine problem, prove some results, provide a number of interesting examples and, finally point out open questions which focus on the most interesting aspects of the problem for us.
Cite
@article{arxiv.math/0604385,
title = {On simultaneous arithmetic progressions on elliptic curves},
author = {I. Garcia-Selfa and J. M. Tornero},
journal= {arXiv preprint arXiv:math/0604385},
year = {2010}
}
Comments
22 pages