From explicit estimates for primes to explicit estimates for the Möbius function

DOI10.4064/aa157-4-4zbMath1329.11107OpenAlexW2095752229MaRDI QIDQ4905235

Olivier Ramaré

Publication date: 15 February 2013

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

Full work available at URL: https://doi.org/10.4064/aa157-4-4

zbMATH Keywords

Möbius functionexplicit estimates

Mathematics Subject Classification ID

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

Related Items (9)

Explicit estimates on the summatory functions of the Möbius function with coprimality restrictions ⋮ A higher order Levin-Faĭnleĭb theorem ⋮ Estimates for \(L\)-functions in the critical strip under GRH with effective applications ⋮ Explicit Estimates: From Λ(n) in Arithmetic Progressions to Λ(n)/n ⋮ Explicit bounds on the logarithmic derivative and the reciprocal of the Riemann zeta-function ⋮ Explicit estimates on several summatory functions involving the Moebius function ⋮ Explicit average orders: news and problems ⋮ Unnamed Item ⋮ Distribution of complex algebraic numbers

Uses Software

• PARI/GP

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