On arithmetic progressions on elliptic curves

Andrew Bremner

doi:em/1047262362

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Home > Journals > Experiment. Math. > Volume 8 > Issue 4 > Article

1999 On arithmetic progressions on elliptic curves

Andrew Bremner

Experiment. Math. 8(4): 409-413 (1999).

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Abstract

We study arithmetic progressions in the x-coordinates of rational points on elliptic curves. An infinite family of elliptic curves is found, each containing an arithmetic progression of length 8.