Residue of a Mod 5 Euler Product

Details Residue of a Mod 5 Euler Product Residue of a Mod 5 Euler Product

2009-12-18

arxiv.org/abs/0912.3677v1

Mathematics

Number Theory

12 pages

Scientific paper

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.

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