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- W4384263428 abstract "The main object of study in this paper is the well-known Somos-4 recurrence. We prove a theorem that any sequence generated by this equation also satisfies Gale-Robinson one. The corresponding identity is written in terms of its companion elliptic sequence. An example of such relationship is provided by the second-order linear sequence which, as we prove using Wajda's identity, satisfies the Somos-4 recurrence with suitable coefficients. Also, we construct a class of solutions to Volterra lattice equation closely related to the second-order linear sequence." @default.
- W4384263428 created "2023-07-14" @default.
- W4384263428 creator A5000748361 @default.
- W4384263428 date "2023-07-11" @default.
- W4384263428 modified "2023-10-16" @default.
- W4384263428 title "Somos-4 equation and related equations" @default.
- W4384263428 doi "https://doi.org/10.48550/arxiv.2307.05866" @default.
- W4384263428 hasPublicationYear "2023" @default.
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