Heat equations and families of two-dimensional sigma functions
type: Item
instance of: scholarly article
title: Heat equations and families of two-dimensional sigma functions
zbMATH Open document ID: 1185.37148
DOI: 10.1134/S0081543809030018
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 2010-01-12T00:00:00Z
review text: The paper is devoted to constructing a system of differential equations that describes a relationship between the parameters of two-dimensional theta and sigma functions. The authors used the classical system of heat equations, which holds for the theta function, and the system of heat equations in a nonholonomic frame which holds the sigma function. The approach is based on the fact that, under the additional requirement of quasiperiodicity of solutions, these systems characterize theta and sigma functions, respectively.
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 14H70
zbMATH DE Number: 5655898
zbMATH Keywords: Chazy equation
zbMATH Keywords: elliptic sigma function
zbMATH Keywords: families of two-dimensional sigma functions
author: Elena Yu. Bunkova
author: V. M. Buchstaber
MaRDI profile type: Publication
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full work available at URL: s0081543809030018
OpenAlex ID: W2091165952
description: scientific article; zbMATH DE number 5655898