Bilinear recurrences and addition formulae for hyperelliptic sigma functions

DOI10.2991/jnmp.2005.12.s2.5zbMath1126.11007arXivmath/0501162OpenAlexW2127955672MaRDI QIDQ3372022

Andrew N. W. Hone, Harry W. Braden, Viktor Z.Enol'skij

Publication date: 17 February 2006

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501162

Mathematics Subject Classification ID

Recurrences (11B37) Special algebraic curves and curves of low genus (14H45) Theta functions and abelian varieties (14K25) Additive difference equations (39A10) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Elliptic functions and integrals (33E05)

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