On the product of translated division polynomials and Somos sequences

DOI10.7169/facm/2038OpenAlexW4381415173MaRDI QIDQ6146690

Betül Gezer, Osman Bizim

Publication date: 15 January 2024

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7169/facm/2038

zbMATH Keywords

elliptic curvesSomos sequencestranslated division polynomials

Mathematics Subject Classification ID

Recurrences (11B37) Elliptic curves (14H52) Elliptic curves over local fields (11G07)

Cites Work

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• On symmetries of elliptic nets and valuations of net polynomials
• Elliptic nets and elliptic curves
• The Laurent phenomenon
• Wieferich's criterion and the abc-conjecture
• Periodicity mod \(q\) of elliptic sequences and \(S\)-integral points on elliptic curves
• Elliptic curves. A computational approach. With an appendix by Attila Pethö
• \(p\)-adic properties of division polynomials and elliptic divisibility sequences
• Primitive divisors of sequences associated to elliptic curves
• The law repetition of primes in an elliptic divisibility sequence
• Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences
• The Arithmetic of Elliptic Curves
• Periodicity of Somos Sequences
• PRIME DIVISORS OF SEQUENCES ASSOCIATED TO ELLIPTIC CURVES
• ELLIPTIC CURVES AND QUADRATIC RECURRENCE SEQUENCES
• Sigma function solution of the initial value problem for Somos 5 sequences
• Prime powers in elliptic divisibility sequences
• Sequences generated by elliptic curves
• Memoir on Elliptic Divisibility Sequences

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