diff --git a/doc/source/acb_modular.rst b/doc/source/acb_modular.rst index abc2ee89..3298b692 100644 --- a/doc/source/acb_modular.rst +++ b/doc/source/acb_modular.rst @@ -290,7 +290,7 @@ To avoid confusion, we only write `q^k` when `k` is an integer. a finite truncation of the respective theta function series. In particular, with *len* equal to 1, computes the respective value of the theta function at the point *z*. - We require *len* to be positive + We require *len* to be positive. If *w_is_unit* is nonzero, *w* is assumed to lie on the unit circle, i.e. *z* is assumed to be real. @@ -314,7 +314,7 @@ To avoid confusion, we only write `q^k` when `k` is an integer. .. math :: - \begin{array} \\ + \begin{array}{llll} & \theta_1, \theta_2 & q^0 & (w^1 \pm w^{-1}) \\ k = 0 & \theta_3, \theta_4 & q^1 & (w^2 \pm w^{-2}) \\ k = 1 & \theta_1, \theta_2 & q^2 & (w^3 \pm w^{-3}) \\ @@ -370,14 +370,14 @@ To avoid confusion, we only write `q^k` when `k` is an integer. Evaluates the Jacobi theta functions `\theta_i(z,\tau)`, `i = 1, 2, 3, 4` simultaneously. This function does not move `\tau` to the fundamental domain. - This is generally worse than :func:`acb_modular_theta_1234`, but can + This is generally worse than :func:`acb_modular_theta`, but can be slightly better for moderate input. .. function:: void acb_modular_theta(acb_t theta1, acb_t theta2, acb_t theta3, acb_t theta4, const acb_t z, const acb_t tau, long prec) Evaluates the Jacobi theta functions `\theta_i(z,\tau)`, `i = 1, 2, 3, 4` simultaneously. This function moves `\tau` to the fundamental domain - before calling :func:`acb_modular_theta_1234_sum`. + before calling :func:`acb_modular_theta_sum`. The Dedekind eta function