On simultaneous arithmetic progressions on elliptic curves

Details On simultaneous arithmetic progressions on elliptic curves On simultaneous arithmetic progressions on elliptic curves

2006-04-18

arxiv.org/abs/math/0604385v1

Experimental Mathematics 15 (2006) 471-478

Mathematics

Number Theory

22 pages

Scientific paper

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.

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