Explicit estimates on the summatory functions of the Möbius function with coprimality restrictions

DOI10.4064/aa165-1-1zbMath1316.11087OpenAlexW2110232270MaRDI QIDQ3190536

Olivier Ramaré

Publication date: 18 September 2014

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa165-1-1

zbMATH Keywords

Möbius functionexplicit estimatesLiouville function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25) Analytic computations (11Y35)

Related Items

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Uses Software

• PARI/GP

Cites Work

• Explicit estimates for summatory functions linked to the Möbius \(\mu\)-function
• A proof of a trigonometric inequality. A glimpse inside the mathematical kitchen
• Sign changes in sums of the Liouville function
• Computing the Summation of the Möbius Function
• On the Order of the Mertens Function
• Explicit bounds on exponential sums and the scarcity of squarefree binomial coefficients
• From explicit estimates for primes to explicit estimates for the Möbius function
• Explicit upper bounds for the remainder term in the divisor problem
• Primes in arithmetic progressions