Table of Dirichlet L-Series and Prime Zeta Modulo Functions for Small Moduli

Details Table of Dirichlet L-Series and Prime Zeta Modulo Functions for Small Moduli Table of Dirichlet L-Series and Prime Zeta Modulo Functions for Small Moduli

2010-08-15

arxiv.org/abs/1008.2547v1

Mathematics

Number Theory

43 pages, no figures, computer-generated tables of floating-point numbers

Scientific paper

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.

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