RISC RISC Research Institute for Symbolic Computation  
  • @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 = {00-00},
    year = {2018},
    month = {July 9},
    length = {9},
    type = {RISC Report Series},
    institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
    address = {Schloss Hagenberg, 4232 Hagenberg, Austria}
    }