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https://github.com/vale981/arb
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42 lines
996 B
C
42 lines
996 B
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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/* sum a_k x^(k^2), assume a[0] = 0 */
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void
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acb_dirichlet_qseries_arb(acb_t res, acb_srcptr a, const arb_t x, slong len, slong prec)
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{
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slong k;
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arb_t xk2, dx, x2;
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arb_init(xk2);
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arb_init(dx);
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arb_init(x2);
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arb_set(dx, x);
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arb_set(xk2, dx);
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arb_mul(x2, dx, dx, prec);
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acb_mul_arb(res, a + 1, xk2, prec);
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/* TODO: reduce prec */
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for (k = 2; k < len; k++)
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{
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arb_mul(dx, dx, x2, prec);
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arb_mul(xk2, xk2, dx, prec);
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acb_addmul_arb(res, a + k, xk2, prec);
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}
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arb_clear(xk2);
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arb_clear(x2);
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arb_clear(dx);
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}
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