Solution of functional equations related to elliptic functions

DOI10.1134/S0081543817080065zbMath1397.39015OpenAlexW2789278750MaRDI QIDQ1661309

A. A. Illarionov

Publication date: 16 August 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543817080065

zbMATH Keywords

functional equationentire solutionsaddition theorem for elliptic functions

Mathematics Subject Classification ID

Elliptic functions and integrals (33E05) Functional equations for complex functions (39B32)

Related Items (9)

Solution of functional equations related to elliptic functions. II ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On a multilinear functional equation ⋮ Calculation of hyperelliptic systems of sequences of rank 4 ⋮ The problem of separation of variables ⋮ An elementary approach to the study of Somos sequences ⋮ On products of Weierstrass sigma functions ⋮ Hyperelliptic systems of sequences of rank 4

Cites Work

• Hyperquasipolynomials and their applications
• Functional equations and Weierstrass sigma-functions
• The addition formula for theta functions
• The addition theorem of Weierstrass's sigma function
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• The characterization of theta functions by functional equations
• Trilinear functional equations
• A new look on Hankel forms over Fock space
• Integrable equations, addition theorems, and the Riemann-Schottky problem
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