Experimental Mathematics
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On arithmetic progressions on elliptic curves

Andrew Bremner
Source: Experiment. Math. Volume 8, Issue 4 (1999), 409-413.

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.

First Page: Show Hide
Primary Subjects: 11G05
Secondary Subjects: 11B25, 11D25
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.em/1047262362
Mathematical Reviews number (MathSciNet): MR1737236
Zentralblatt MATH identifier: 0951.11021

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Experimental Mathematics

Experimental Mathematics