On Algebraic Conditions for the Non-Vanishing of Linear Forms in Jacobi Theta-Constants

Carsten Elsner, Veekesh Kumar

Elsner, Luca and Tachiya proved in 2019 that the values of the Jacobi-theta constants ${\theta }_3(m\tau )$ and ${\theta }_3(n\tau )$ are algebraically independent over $\mathbb{Q}$ for distinct integers…