Somos-4 equation and related equations

DOI10.1016/j.aam.2023.102609arXiv2307.05866OpenAlexW4386921754MaRDI QIDQ6184894

Andrei K. Svinin

Publication date: 29 January 2024

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.05866

zbMATH Keywords

Volterra latticelinear sequenceSomos-4 recurrenceVajda's identityGale-Robinson recurrence

Mathematics Subject Classification ID

Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• Discrete integrable systems and Poisson algebras from cluster maps
• Elliptic nets and elliptic curves
• The Laurent phenomenon
• An integer sequence from a rational recursion
• On integrals for some class of ordinary difference equations admitting a Lax representation
• Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences
• Periodicity of Somos Sequences
• Some integrable maps and their Hirota bilinear forms
• Sigma function solution of the initial value problem for Somos 5 sequences
• On some classes of discrete polynomials and ordinary difference equations
• RECURRENCE RELATIONS FOR ELLIPTIC SEQUENCES: EVERY SOMOS 4 IS A SOMOS LOWERCASE $k$
• Memoir on Elliptic Divisibility Sequences

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