Residue of a Mod 5 Euler Product

Steven Finch; Pascal Sebah

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arXiv · 0912.3677

Residue of a Mod 5 Euler Product

Steven Finch·Pascal Sebah

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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.

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Steven Finch, Pascal Sebah. 2009-12-18. Residue of a Mod 5 Euler Product. https://arxiv.org/abs/0912.3677

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