mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
69 lines
2.3 KiB
C
69 lines
2.3 KiB
C
/*=============================================================================
|
|
|
|
This file is part of ARB.
|
|
|
|
ARB is free software; you can redistribute it and/or modify
|
|
it under the terms of the GNU General Public License as published by
|
|
the Free Software Foundation; either version 2 of the License, or
|
|
(at your option) any later version.
|
|
|
|
ARB is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU General Public License for more details.
|
|
|
|
You should have received a copy of the GNU General Public License
|
|
along with ARB; if not, write to the Free Software
|
|
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
|
|
|
|
=============================================================================*/
|
|
/******************************************************************************
|
|
|
|
Copyright (C) 2015 Jonathan Bober
|
|
Copyright (C) 2016 Fredrik Johansson
|
|
|
|
******************************************************************************/
|
|
|
|
#ifndef ACB_DIRICHLET_H
|
|
#define ACB_DIRICHLET_H
|
|
|
|
#include "acb.h"
|
|
|
|
#ifdef __cplusplus
|
|
extern "C" {
|
|
#endif
|
|
|
|
typedef struct
|
|
{
|
|
ulong q; /* modulus */
|
|
ulong q_even; /* even part of modulus */
|
|
ulong q_odd; /* odd part of modulus */
|
|
ulong phi_q; /* phi(q) */
|
|
ulong phi_q_odd; /* phi(q_odd) */
|
|
slong num; /* number of odd prime factors */
|
|
ulong * primes; /* odd primes p[k] */
|
|
ulong * exponents; /* exponents e[k] */
|
|
ulong * generators; /* generator for each odd prime p[k] */
|
|
ulong * PHI; /* PHI(k) = phi(q_odd) / phi(p[k]^e[k]) */
|
|
}
|
|
acb_dirichlet_group_struct;
|
|
|
|
typedef acb_dirichlet_group_struct acb_dirichlet_group_t[1];
|
|
|
|
void _acb_dirichlet_euler_product_real_ui(arb_t res, ulong s,
|
|
const signed char * chi, int mod, int reciprocal, slong prec);
|
|
|
|
void acb_dirichlet_eta(acb_t res, const acb_t s, slong prec);
|
|
|
|
void acb_dirichlet_group_init(acb_dirichlet_group_t G, ulong q);
|
|
|
|
void acb_dirichlet_group_clear(acb_dirichlet_group_t G);
|
|
|
|
void acb_dirichlet_chi(acb_t res, const acb_dirichlet_group_t G, ulong m, ulong n, slong prec);
|
|
|
|
#ifdef __cplusplus
|
|
}
|
|
#endif
|
|
|
|
#endif
|
|
|