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https://github.com/vale981/arb
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51 lines
1.1 KiB
C
51 lines
1.1 KiB
C
/*
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Copyright (C) 2016 Fredrik Johansson
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This file is part of Arb.
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Arb is free software: you can redistribute it and/or modify it under
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the terms of the GNU Lesser General Public License (LGPL) as published
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by the Free Software Foundation; either version 2.1 of the License, or
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(at your option) any later version. See <http://www.gnu.org/licenses/>.
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*/
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#include "acb_dirichlet.h"
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void
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acb_dirichlet_l(acb_t res, const acb_t s,
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const acb_dirichlet_group_t G, ulong m, slong prec)
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{
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acb_t chi, t, u, a;
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ulong k;
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acb_init(chi);
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acb_init(t);
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acb_init(u);
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acb_init(a);
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acb_zero(t);
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for (k = 1; k <= G->q; k++)
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{
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acb_dirichlet_chi(chi, G, m, k, prec);
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if (!acb_is_zero(chi))
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{
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acb_set_ui(a, k);
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acb_div_ui(a, a, G->q, prec);
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acb_hurwitz_zeta(u, s, a, prec);
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acb_addmul(t, chi, u, prec);
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}
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}
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acb_set_ui(u, G->q);
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acb_neg(a, s);
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acb_pow(u, u, a, prec);
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acb_mul(res, t, u, prec);
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acb_clear(chi);
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acb_clear(t);
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acb_clear(u);
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acb_clear(a);
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}
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