On periodicity of the Somos sequences modulo \(m\)

DOI10.1134/S000143462403012XzbMATH Open1548.11048MaRDI QIDQ6569612

Alexey Ustinov

Publication date: 9 July 2024

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Somos sequencedivision polynomialelliptic-curve cryptography

Mathematics Subject Classification ID

Sequences (mod (m)) (11B50)

Cites Work

• Title not available (Why is that?)
• The Laurent phenomenon
• Periodicity mod \(q\) of elliptic sequences and \(S\)-integral points on elliptic curves
• \(p\)-adic properties of division polynomials and elliptic divisibility sequences
• Polynomial Somos sequences
• An elementary approach to the study of Somos sequences
• On the Laurent phenomenon for Somos-4 and Somos-5 sequences
• Analytic solutions and integrability for bilinear recurrences of order six
• Periodicity of Somos Sequences
• On the analogue of the division polynomials for hyperelliptic curves.
• Sigma-function solution to the general Somos-6 recurrence via hyperelliptic Prym varieties
• ELLIPTIC CURVES AND QUADRATIC RECURRENCE SEQUENCES
• RECURRENCE RELATIONS FOR ELLIPTIC SEQUENCES: EVERY SOMOS 4 IS A SOMOS LOWERCASE $k$
• Memoir on Elliptic Divisibility Sequences
• The elliptic sieve and Brauer groups

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