Table of Dirichlet L-Series and Prime Zeta Modulo Functions for Small
Moduli
R. Mathar. (2010)cite arxiv:1008.2547Comment: 43 pages, no figures, computer-generated tables of floating-point numbers.
Abstract
The Dirichlet characters of reduced residue systems modulo m are tabulated
for moduli m <= 22. The associated L-series are tabulated for m <= 14 and small
positive integer argument s accurate to 10^(-50), their first derivatives for m
<= 6. Restricted summation over primes only defines Dirichlet Prime L-functions
which lead to Euler products (Prime Zeta Modulo functions). Both are
materialized over similar ranges of moduli and arguments. Formulas and
numerical techniques are well known; the aim is to provide direct access to
reference values.
Description
Table of Dirichlet L-Series and Prime Zeta Modulo Functions for Small
Moduli
%0 Generic
%1 mathar2010table
%A Mathar, Richard J.
%D 2010
%K dirichlet prime series table zeta
%T Table of Dirichlet L-Series and Prime Zeta Modulo Functions for Small
Moduli
%U http://arxiv.org/abs/1008.2547
%X The Dirichlet characters of reduced residue systems modulo m are tabulated
for moduli m <= 22. The associated L-series are tabulated for m <= 14 and small
positive integer argument s accurate to 10^(-50), their first derivatives for m
<= 6. Restricted summation over primes only defines Dirichlet Prime L-functions
which lead to Euler products (Prime Zeta Modulo functions). Both are
materialized over similar ranges of moduli and arguments. Formulas and
numerical techniques are well known; the aim is to provide direct access to
reference values.
@misc{mathar2010table,
abstract = {The Dirichlet characters of reduced residue systems modulo m are tabulated
for moduli m <= 22. The associated L-series are tabulated for m <= 14 and small
positive integer argument s accurate to 10^(-50), their first derivatives for m
<= 6. Restricted summation over primes only defines Dirichlet Prime L-functions
which lead to Euler products (Prime Zeta Modulo functions). Both are
materialized over similar ranges of moduli and arguments. Formulas and
numerical techniques are well known; the aim is to provide direct access to
reference values.},
added-at = {2013-12-23T06:05:26.000+0100},
author = {Mathar, Richard J.},
biburl = {https://www.bibsonomy.org/bibtex/20b34b965326a7be8d162a0f5593dc18d/aeu_research},
description = {Table of Dirichlet L-Series and Prime Zeta Modulo Functions for Small
Moduli},
interhash = {0409aec7616d89bb5cc0e50e9b020b37},
intrahash = {0b34b965326a7be8d162a0f5593dc18d},
keywords = {dirichlet prime series table zeta},
note = {cite arxiv:1008.2547Comment: 43 pages, no figures, computer-generated tables of floating-point numbers},
timestamp = {2013-12-23T06:05:26.000+0100},
title = {Table of Dirichlet L-Series and Prime Zeta Modulo Functions for Small
Moduli},
url = {http://arxiv.org/abs/1008.2547},
year = 2010
}