On Arithmetic Progressions on Elliptic Curves

DOI10.1080/10586458.1999.10504629zbMath0951.11021OpenAlexW1966226368MaRDI QIDQ4947138

Andrew Bremner

Publication date: 23 March 2000

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1047262362

zbMATH Keywords

arithmetic progression on elliptic curve

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic progressions (11B25)

Related Items

Families of cubic elliptic curves containing sequences of consecutive powers ⋮ Searching for simultaneous arithmetic progressions on elliptic curves ⋮ On quadratic progression sequences on smooth plane curves ⋮ Unnamed Item ⋮ Sequences of consecutive squares on quartic elliptic curves ⋮ Markoff-Rosenberger triples in geometric progression ⋮ Arithmetic progressions on Pell equations ⋮ Arithmetic progressions on congruent number elliptic curves ⋮ Elliptic curves containing sequences of consecutive cubes ⋮ SIMULTANEOUS ARITHMETIC PROGRESSIONS ON ALGEBRAIC CURVES ⋮ On arithmetic progressions on genus two curves ⋮ On arithmetic progressions on Edwards curves

Uses Software

• Maple
• APECS

Cites Work

• Integral solutions in arithmetic progression for \(y^2 = x^3 + k\)