Residue of a Mod 5 Euler Product

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.

12 pages

References in corpus (2)

• Squares and Cubes Modulo n
• Quartic and Octic Characters Modulo n

Cited by in corpus (1)

• Quartic and Octic Characters Modulo n