Note on trigonometric expansions of theta functions
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摘要
We are interested in properties of coefficients of certain expansions of the classical theta functions. We show that they are solutions of a differential system derived from the heat equation. We plan to explicitly give expressions of these coefficients.
论文关键词：primary 33E05,secondary 33E20,34A20,Theta functions,Elliptic functions,Heat equation,Differential system
论文评审过程：Received 15 January 2002, Available online 17 December 2002.
论文官网地址：https://doi.org/10.1016/S0377-0427(02)00631-3
