On the constant in the Mertens product for arithmetic progressions. II: Numerical values

DOI10.1090/S0025-5718-08-02148-0zbMath1214.11108arXiv0712.1665OpenAlexW2093632968MaRDI QIDQ3055096

Alessandro Zaccagnini, Alessandro Languasco

Publication date: 7 November 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.1665

zbMATH Keywords

arithmetic progressionnumerical valuesMertens product

Mathematics Subject Classification ID

Other results on the distribution of values or the characterization of arithmetic functions (11N64) Analytic computations (11Y35)

Related Items (7)

Sieve methods for odd perfect numbers ⋮ Computing the Mertens and Meissel–Mertens Constants for Sums over Arithmetic Progressions ⋮ Biases in prime factorizations and Liouville functions for arithmetic progressions ⋮ Values of the Euler 𝜙-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields ⋮ A bias in Mertens’ product formula ⋮ Euler’s function on products of primes in a fixed arithmetic progression ⋮ Accurate computations of Euler products over primes in arithmetic progressions

Uses Software

• PARI/GP

Cites Work

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• On the constant in the Mertens product for arithmetic progressions. I: Identities
• On the remainder in a series of Mertens
• Approximation of singular series and automata
• A note on Mertens' formula for arithmetic progressions
• Evaluation of Artin's Constant and the Twin-Prime Constant
• Number Theory
• Number Theory

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