Ralf Hemmecke, Silviu Radu, Liangjie Ye,
"The Generators of all Polynomial Relations among Jacobi Theta Functions"
, Serie RISC Report Series, Nummer 18-09, RISC, JKU, Hagenberg, Linz, 7-2018
Original Titel:
The Generators of all Polynomial Relations among Jacobi Theta Functions
Sprache des Titels:
Englisch
Original Kurzfassung:
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.