Table of Dirichlet L-Series and Prime Zeta Modulo Functions for Small Moduli
Number Theory
2015-08-03 v2
Abstract
The Dirichlet characters of reduced residue systems modulo m are tabulated for moduli m <= 195. 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.
Keywords
Cite
@article{arxiv.1008.2547,
title = {Table of Dirichlet L-Series and Prime Zeta Modulo Functions for Small Moduli},
author = {Richard J. Mathar},
journal= {arXiv preprint arXiv:1008.2547},
year = {2015}
}
Comments
Table extended to cover moduli <= 195 in the ancillary directory