Searching for simultaneous arithmetic progressions on elliptic curves

Details Searching for simultaneous arithmetic progressions on elliptic curves Searching for simultaneous arithmetic progressions on elliptic curves

2007-03-21

arxiv.org/abs/math/0703624v1

Bulletin of the Australian Mathematical Society 71 (2005) 417-424

Mathematics

Number Theory

Preliminary version (November 2004). Final version already published (2005)

Scientific paper

We look for elliptic curves featuring rational points whose coordinates form
two arithmetic progressions, one for each coordinate. A constructive method for
creating such curves is shown, for lengths up to 5.

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