Continued Fractions and Hankel Determinants from Hyperelliptic Curves

DOI10.1002/cpa.21923zbMath1485.39030arXiv1907.05204OpenAlexW3038123045MaRDI QIDQ5012721

Andrew N. W. Hone

Publication date: 25 November 2021

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05204

zbMATH Keywords

hyperelliptic curveintegrabilitynonlinear mapsSomos recurrenceHankel determinant formulae

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Recurrences (11B37) Relationships between algebraic curves and integrable systems (14H70) Continued fractions (11A55) Continued fraction calculations (number-theoretic aspects) (11Y65) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)

Related Items (3)

Continued fractions and the classification problem for elliptic fields over quadratic fields of constants ⋮ Casting light on shadow Somos sequences ⋮ Sufficient condition for \((\alpha,\beta)\) Somos 4 Hankel determinants

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