Families of cubic elliptic curves containing sequences of consecutive powers

DOI10.1216/rmj.2021.51.1833zbMath1496.11085OpenAlexW4212894936MaRDI QIDQ2135991

Sajad Salami, Arman Shamsi Zargar

Publication date: 10 May 2022

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-51/issue-5/Families-of-cubic-elliptic-curves-containing-sequences-of-consecutive-powers/10.1216/rmj.2021.51.1833.full

zbMATH Keywords

elliptic curvesranksequences of consecutive powers

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Uses Software

• SageMath

Cites Work

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• Finiteness theorems for abelian varieties over number fields.
• Elliptic curves containing sequences of consecutive cubes
• Sequences of consecutive squares on quartic elliptic curves
• On the rank of elliptic curves with long arithmetic progressions
• Elliptic Curves with Long Arithmetic Progressions Have Large Rank
• On sequences of consecutive squares on elliptic curves
• On Arithmetic Progressions on Elliptic Curves

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