Magic determinants of Somos sequences and theta functions

DOI10.1016/j.disc.2009.07.012zbMath1217.11016OpenAlexW1999612855MaRDI QIDQ1045135

Xin Rong Ma

Publication date: 15 December 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2009.07.012

zbMATH Keywords

determinantelliptic theta functionSomos sequence

Mathematics Subject Classification ID

Recurrences (11B37) Theta series; Weil representation; theta correspondences (11F27)

Related Items (8)

A conjecture based on Somos-4 sequence and its extension ⋮ Integer sequences Somos-4 ⋮ Somos-4 and elliptic systems of sequences ⋮ An elementary approach to the study of Somos sequences ⋮ From discrete integrable equations to Laurent recurrences ⋮ Hyperelliptic systems of sequences of rank 4 ⋮ Unnamed Item ⋮ Heron triangles with two rational medians and Somos-5 sequences

Uses Software

• OEIS

Cites Work

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• Determinant identities for theta functions
• Cubic theta functions.
• Arithmetical consequences of a sextuple product identity
• COMMON SOURCE OF NUMEROUS THETA FUNCTION IDENTITIES
• Integrality and the Laurent phenomenon for Somos 4 and Somos 5 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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