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small doc fixes

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Fredrik Johansson 2014-10-20 14:25:58 +02:00
parent 30dc4ccbb5
commit 540aa0e8d4
1 changed files with 4 additions and 4 deletions
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8
doc/source/acb_modular.rst
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@ -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