Residue of a Mod 5 Euler Product
Number Theory
2009-12-21 v1
Abstract
Consider the product of (1-p^(-s))^(-4) over all primes p=1 mod 5. We evaluate its residue at s=1 and compare with the corresponding Mertens constant of Languasco & Zaccagnini. We also count primitive quintic Dirichlet characters mod n and determine their average number as n->infty.
Keywords
Cite
@article{arxiv.0912.3677,
title = {Residue of a Mod 5 Euler Product},
author = {Steven Finch and Pascal Sebah},
journal= {arXiv preprint arXiv:0912.3677},
year = {2009}
}
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12 pages