%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 }