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/*
Copyright (C) 2016 Pascal Molin
This file is part of Arb.
Arb is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "acb_dirichlet.h"
void
acb_dirichlet_gauss_sum_theta(acb_t res, const dirichlet_group_t G, const dirichlet_char_t chi, slong prec)
{
ulong cond = dirichlet_conductor_char(G, chi);
if (cond < G->q || (G->q == 300 && (chi->n == 71 || chi->n == 131))
|| (G->q == 600 && (chi->n == 11 || chi->n == 491)))
{
flint_printf("gauss_sum_theta: non available for non primitive character"
"or exceptional characters chi_300(71,.), chi_300(131,.), "
"chi_600(11,.) and chi_600(491,.)\n");
flint_abort();
}
else
{
acb_t iq;
acb_init(iq);
acb_dirichlet_gauss_sum_order2(iq, G, chi, prec);
acb_dirichlet_root_number_theta(res, G, chi, prec);
acb_mul(res, res, iq, prec);
acb_clear(iq);
}
}
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