A recursive family of differential polynomials generated by the Sylvester identity, and addition theorems for hyperelliptic Kleinian functions

DOI10.1007/BF02466056zbMath1126.33301OpenAlexW2061396461MaRDI QIDQ1272009

Viktor Z.Enol'skij, Victor M. Buchstaber, Dmitry Leykin

Publication date: 7 March 1999

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02466056

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Elliptic functions and integrals (33E05) Theta functions and curves; Schottky problem (14H42)

Related Items

Division polynomials and canonical local heights on hyperelliptic Jacobians ⋮ Quasiperiodic and periodic solutions for vector nonlinear Schrödinger equations ⋮ Exact solutions for a class of integrable Hénon–Heiles-type systems

Cites Work

• On the Addition Theorem for Multiply Periodic Functions
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