On Simultaneous Arithmetic Progressions on Elliptic Curves
García-Selfa, Irene ; Tornero, José M.
Experiment. Math., Tome 15 (2006) no. 1, p. 471-478 / Harvested from Project Euclid
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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.
Publié le : 2006-05-14
Classification:  Elliptic curves,  arithmetic progressions,  11G05,  14H52,  11B25 
@article{1175789781,
     author = {Garc\'\i a-Selfa, Irene and Tornero, Jos\'e M.},
     title = {On Simultaneous Arithmetic Progressions on Elliptic Curves},
     journal = {Experiment. Math.},
     volume = {15},
     number = {1},
     year = {2006},
     pages = { 471-478},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1175789781}
}

García-Selfa, Irene; Tornero, José M. On Simultaneous Arithmetic Progressions on Elliptic Curves. Experiment. Math., Tome 15 (2006) no. 1, pp.  471-478. http://gdmltest.u-ga.fr/item/1175789781/