arb/acb_dirichlet/l_vec_hurwitz.c

/*=============================================================================

    This file is part of ARB.

    ARB is free software; you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation; either version 2 of the License, or
    (at your option) any later version.

    ARB is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with ARB; if not, write to the Free Software
    Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA

=============================================================================*/
/******************************************************************************

    Copyright (C) 2016 Fredrik Johansson

******************************************************************************/

#include "acb_dirichlet.h"

void
acb_dirichlet_l_vec_hurwitz(acb_ptr res, const acb_t s,
    const acb_dirichlet_group_t G, slong prec)
{
    acb_t a, qs;
    acb_ptr zeta, z;
    acb_dirichlet_conrey_t cn;

    acb_dirichlet_conrey_init(cn, G);
    acb_init(qs);
    acb_init(a);

    acb_set_ui(qs, G->q);
    acb_neg(a, s);
    acb_pow(qs, qs, a, prec);

    zeta = z = _acb_vec_init(G->phi_q);
    acb_dirichlet_conrey_one(cn, G);
    do {

        acb_set_ui(a, cn->n);
        acb_div_ui(a, a, G->q, prec);
        acb_hurwitz_zeta(z, s, a, prec);
        acb_mul(z, z, qs, prec);

        z++;
    } while (acb_dirichlet_conrey_next(cn, G) >= 0);

    acb_dirichlet_dft_conrey(res, zeta, G, prec);

    acb_dirichlet_conrey_clear(cn);
    _acb_vec_clear(zeta, G->phi_q);
    acb_clear(qs);
    acb_clear(a);
}