History of Mertens constants of primes in arithmetic progressions

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2026-09-08 21:30 zeta3 repair T164 prose and source checks current reviewed
2026-09-08 21:28 zeta3 repair T164 prose and source checks
2026-09-08 20:46 zeta3 with Codex CLI, table filled draft with M(q,a), B(q,a) and C(q,a) for reduced residue classes modulo q <= 30, using the Languasco-Zaccagnini accelerated formulas checked against their published matrices
2026-09-08 20:44 zeta3 checking that this table can be written to
2026-09-08 20:39 zeta3 draft Mertens constants in arithmetic progressions

What changed between 2026-09-08 21:28 and 2026-09-08 21:30

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 Definition: For $q\geq 1$ and $\gcd(a,q)=1$, $M(q,a)$, $B(q,a)$ and $C(q,a)$ are the   Mertens and Meissel-Mertens constants of the primes $p\equiv a\pmod q$ CITE{LZ2007}-  CITE{LZ2010} CITE{LZ2009}. They are defined by the reciprocal-prime sum, the convergent-  sum of $\log(1-1/p)+1/p$, and the Mertens product in CITE{formula-definitions}.+  CITE{LZ2010} CITE{LZ2009}. The reciprocal-prime sum, the $B(q,a)$ series and the+  Mertens product define them in CITE{formula-definitions}. Parameters:   q: 

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