Residue of a Mod 5 Euler Product
classification
🧮 math.NT
keywords
productresidueaveragecharacterscompareconsiderconstantcorresponding
read the original 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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