mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
56 lines
1.5 KiB
C
56 lines
1.5 KiB
C
/*
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Copyright (C) 2016 Pascal Molin
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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_vec_mellin_arb(acb_ptr res, const dirichlet_group_t G, const dirichlet_char_t chi, slong len, const arb_t t, slong n, slong prec)
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{
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slong k;
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arb_t tk, xt, stk, st;
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acb_ptr a;
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mag_t e;
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a = _acb_vec_init(len);
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acb_dirichlet_chi_vec(a, G, chi, len, prec);
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if (dirichlet_parity_char(G, chi))
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{
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for (k = 2; k < len; k++)
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acb_mul_si(a + k, a + k, k, prec);
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}
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arb_init(tk);
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arb_init(xt);
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arb_init(st);
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arb_init(stk);
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mag_init(e);
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arb_sqrt(st, t, prec);
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arb_one(tk);
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arb_one(stk);
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for (k = 0; k < n; k++)
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{
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_acb_dirichlet_theta_argument_at_arb(xt, G->q, tk, prec);
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mag_tail_kexpk2_arb(e, xt, len);
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arb_neg(xt, xt);
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arb_exp(xt, xt, prec);
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/* TODO: reduce len */
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acb_dirichlet_qseries_arb(res + k, a, xt, len, prec);
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acb_add_error_mag(res + k, e);
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acb_mul_arb(res + k, res + k, stk, prec);
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arb_mul(tk, tk, t, prec);
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arb_mul(stk, stk, st, prec);
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}
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mag_clear(e);
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arb_clear(xt);
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arb_clear(tk);
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arb_clear(stk);
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arb_clear(st);
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_acb_vec_clear(a, len);
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}
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