mirror of
https://github.com/vale981/arb
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62 lines
1.4 KiB
C
62 lines
1.4 KiB
C
/*
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Copyright (C) 2019 D.H.J Polymath
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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_platt_lemma_B2(arb_t out, slong K, const arb_t h,
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const arb_t xi, slong prec)
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{
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arb_t two, half, pi;
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arb_t x1, x2, x3, x4, x5;
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arb_init(two);
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arb_init(half);
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arb_init(pi);
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arb_init(x1);
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arb_init(x2);
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arb_init(x3);
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arb_init(x4);
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arb_init(x5);
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arb_set_ui(two, 2);
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arb_mul_2exp_si(half, two, -2);
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arb_const_pi(pi, prec);
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arb_set_si(x1, K + 5);
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arb_mul_2exp_si(x1, x1, -1);
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arb_pow(x1, two, x1, prec);
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arb_add_si(x2, half, K, prec);
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arb_pow(x2, pi, x2, prec);
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arb_pow_ui(x3, h, (ulong) (K + 1), prec);
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arb_pow_ui(x4, xi, (ulong) K, prec);
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arb_set_si(x5, K + 2);
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arb_mul_2exp_si(x5, x5, -1);
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arb_rgamma(x5, x5, prec);
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arb_mul(out, x1, x2, prec);
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arb_mul(out, out, x3, prec);
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arb_mul(out, out, x4, prec);
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arb_mul(out, out, x5, prec);
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arb_clear(two);
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arb_clear(half);
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arb_clear(pi);
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arb_clear(x1);
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arb_clear(x2);
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arb_clear(x3);
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arb_clear(x4);
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arb_clear(x5);
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}
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