mirror of
https://github.com/vale981/arb
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55 lines
1.6 KiB
C
55 lines
1.6 KiB
C
/*
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Copyright (C) 2015 Jonathan Bober
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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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#ifndef ACB_DIRICHLET_H
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#define ACB_DIRICHLET_H
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#include "acb.h"
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#ifdef __cplusplus
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extern "C" {
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#endif
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typedef struct
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{
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ulong q; /* modulus */
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ulong q_even; /* even part of modulus */
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ulong q_odd; /* odd part of modulus */
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ulong phi_q; /* phi(q) */
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ulong phi_q_odd; /* phi(q_odd) */
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slong num; /* number of odd prime factors */
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ulong * primes; /* odd primes p[k] */
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ulong * exponents; /* exponents e[k] */
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ulong * generators; /* generator for each odd prime p[k] */
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ulong * PHI; /* PHI(k) = phi(q_odd) / phi(p[k]^e[k]) */
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}
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acb_dirichlet_group_struct;
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typedef acb_dirichlet_group_struct acb_dirichlet_group_t[1];
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void _acb_dirichlet_euler_product_real_ui(arb_t res, ulong s,
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const signed char * chi, int mod, int reciprocal, slong prec);
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void acb_dirichlet_eta(acb_t res, const acb_t s, slong prec);
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void acb_dirichlet_group_init(acb_dirichlet_group_t G, ulong q);
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void acb_dirichlet_group_clear(acb_dirichlet_group_t G);
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void acb_dirichlet_chi(acb_t res, const acb_dirichlet_group_t G, ulong m, ulong n, slong prec);
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#ifdef __cplusplus
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}
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#endif
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#endif
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