On a multilinear functional equation

DOI10.1134/S0001434620010083OpenAlexW3010193349MaRDI QIDQ2191938

A. A. Illarionov

Publication date: 26 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620010083

zbMATH Keywords

functional equationtheta functionelliptic functionaddition theoremsWeierstrass sigma functionmultilinear functional-differential operators

Mathematics Subject Classification ID

Elliptic functions and integrals (33E05) Functional equations for complex functions (39B32) Theta functions and curves; Schottky problem (14H42)

Related Items (1)

Calculation of hyperelliptic systems of sequences of rank 4

Cites Work

• Hyperquasipolynomials and their applications
• On the rank of odd hyper-quasi-polynomials
• Functional equations and Weierstrass sigma-functions
• The addition formula for theta functions
• The addition theorem of Weierstrass's sigma function
• Generalized sine equations. I
• Solution of functional equations related to elliptic functions
• Hyperquasipolynomials for the theta-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
• Hyperelliptic systems of sequences of rank 4
• Integrable equations, addition theorems, and the Riemann-Schottky problem
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