scientific article; zbMATH DE number 7043128

zbMath1411.11013MaRDI QIDQ4629485

A. A. Illarionov

Publication date: 27 March 2019

Full work available at URL: http://mathnet.ru/eng/dvmg379

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

elliptic functionsaddition theoremsSomos sequences

Mathematics Subject Classification ID

Recurrences (11B37) Elliptic functions and integrals (33E05)

Related Items (3)

Unnamed Item ⋮ Unnamed Item ⋮ Hyperelliptic systems of sequences of rank 4

Cites Work

• Hyperquasipolynomials and their applications
• Somos-4 and elliptic systems of sequences
• Functional equations and Weierstrass sigma-functions
• Magic determinants of Somos sequences and theta functions
• Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences
• Analytic solutions and integrability for bilinear recurrences of order six
• Periodicity of Somos Sequences
• Sigma-function solution to the general Somos-6 recurrence via hyperelliptic Prym varieties
• ELLIPTIC CURVES AND QUADRATIC RECURRENCE SEQUENCES
• Sigma function solution of the initial value problem for Somos 5 sequences
• Hyperelliptic curves, continued fractions, and Somos sequences
• RECURRENCE RELATIONS FOR ELLIPTIC SEQUENCES: EVERY SOMOS 4 IS A SOMOS LOWERCASE $k$
• Memoir on Elliptic Divisibility Sequences

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