Hankel determinant solution for elliptic sequence

DOI10.1016/j.laa.2015.06.016zbMath1379.11012arXiv1411.6972OpenAlexW2963972183MaRDI QIDQ491100

Fumitaka Yura

Publication date: 24 August 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6972

zbMATH Keywords

Hankel determinantelliptic curveSomos sequenceelliptic sequence

Mathematics Subject Classification ID

Recurrences (11B37) Special sequences and polynomials (11B83)

Related Items (1)

Hankel determinants and shifted periodic continued fractions

Cites Work

• A conjecture based on Somos-4 sequence and its extension
• The Laurent phenomenon
• Proof of the Somos-4 Hankel determinants conjecture
• Singularity confinement for maps with the Laurent property
• Irreducibility and co-primeness as an integrability criterion for discrete equations
• Bilinear discrete Painleve equations
• Bilinear recurrences and addition formulae for hyperelliptic sigma functions
• Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences
• Periodicity of Somos Sequences
• ELLIPTIC CURVES AND QUADRATIC RECURRENCE SEQUENCES
• Hankel Determinant Solutions to Several Discrete Integrable Systems and the Laurent Property
• Singularities of the discrete KdV equation and the Laurent property
• RECURRENCE RELATIONS FOR ELLIPTIC SEQUENCES: EVERY SOMOS 4 IS A SOMOS LOWERCASE $k$
• Memoir on Elliptic Divisibility Sequences
• On the autonomous limit of discrete Painlevé equations
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