@techreport{24ea05dd87fc4db1889dae8ea0338277,
title = "The Generators of all Polynomial Relations among Jacobi Theta Functions",
abstract = "In this article, we consider the classical Jacobi theta functions \$\textbackslash{}theta\_i(z)\$, \$i=1,2,3,4\$ and show that the ideal of all polynomial relations among them with coefficients in \$K :=\textbackslash{}setQ(\textbackslash{}theta\_2(0|\textbackslash{}tau),\textbackslash{}theta\_3(0|\textbackslash{}tau),\textbackslash{}theta\_4(0|\textbackslash{}tau))\$ is generated by just two polynomials, that correspond to well known identities among Jacobi theta functions.",
author = "Ralf Hemmecke and Silviu Radu and Liangjie Ye",
year = "2018",
month = jul,
language = "English",
series = "RISC Report Series",
publisher = "RISC, JKU",
number = "18-09",
type = "WorkingPaper",
institution = "RISC, JKU",
}