On arithmetic progressions on elliptic curves

Authors
Bremner, A
Citation
A. Bremner, On arithmetic progressions on elliptic curves, EXP MATH, 8(4), 1999, pp. 409-413
Citations number
4
Categorie Soggetti
Mathematics
Journal title
EXPERIMENTAL MATHEMATICS
ISSN journal
10586458 → ACNP
Volume
8
Issue
4
Year of publication
1999
Pages
409 - 413
Database
ISI
SICI code
1058-6458(1999)8:4<409:OAPOEC>2.0.ZU;2-G
Abstract
We study arithmetic progressions in the x-coordinates of rational points on elliptic curves. An infinite family of elliptic curves is found, each cont aining an arithmetic progression of length 8.