- Experiment. Math.
- Volume 15, Issue 4 (2006), 471-478.
On Simultaneous Arithmetic Progressions on Elliptic Curves
In this paper we study elliptic curves that have a number of points whose coordinates are in arithmetic progression. We first motivate this Diophantine problem; then we prove some results, provide a number of interesting examples, and finally point out open questions that focus on the most interesting aspects of the problem for us.
Experiment. Math., Volume 15, Issue 4 (2006), 471-478.
First available in Project Euclid: 5 April 2007
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
García-Selfa, Irene; Tornero, José M. On Simultaneous Arithmetic Progressions on Elliptic Curves. Experiment. Math. 15 (2006), no. 4, 471--478. https://projecteuclid.org/euclid.em/1175789781