An elementary approach to the study of Somos sequences

DOI10.1134/S0081543819030180zbMath1467.11015OpenAlexW2980979773WikidataQ127001399 ScholiaQ127001399MaRDI QIDQ2285411

Alexey Ustinov

Publication date: 8 January 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543819030180

zbMATH Keywords

rankelliptic divisibility sequenceaddition formulasSomos-4 sequence

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Recurrences (11B37)

Related Items (3)

On Somos-4 and Somos-5 sequences ⋮ Existence of sequences satisfying bilinear type recurrence relations ⋮ Polynomial Somos sequences

Cites Work

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• Laurent phenomenon sequences
• Hyperquasipolynomials and their applications
• Somos-4 and elliptic systems of sequences
• Functional equations and Weierstrass sigma-functions
• The Laurent phenomenon
• Magic determinants of Somos sequences and theta functions
• Solution of functional equations related to elliptic functions
• Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences
• Analytic solutions and integrability for bilinear recurrences of order six
• Sigma-function solution to the general Somos-6 recurrence via hyperelliptic Prym varieties
• ELLIPTIC CURVES AND QUADRATIC RECURRENCE SEQUENCES
• Sigma function solution of the initial value problem for Somos 5 sequences
• RECURRENCE RELATIONS FOR ELLIPTIC SEQUENCES: EVERY SOMOS 4 IS A SOMOS LOWERCASE $k$
• Memoir on Elliptic Divisibility Sequences

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