@**techreport**{RISC5719,author = {Ralf Hemmecke and Silviu Radu and Liangjie Ye},

title = {{The Generators of all Polynomial Relations among Jacobi Theta Functions}},

language = {english},

abstract = {In this article, we consider the classical Jacobi theta functions
$\theta_i(z)$, $i=1,2,3,4$ and show that the ideal of all polynomial
relations among them with coefficients in
$K :=\setQ(\theta_2(0|\tau),\theta_3(0|\tau),\theta_4(0|\tau))$ is
generated by just two polynomials, that correspond to well known
identities among Jacobi theta functions.
},

number = {18-09},

year = {2018},

month = {July 9},

note = {Published in https://doi.org/10.1007/978-3-030-04480-0_11},

length = {9},

type = {RISC Report Series},

institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},

address = {Schloss Hagenberg, 4232 Hagenberg, Austria}

}