2012/09/17 by Michel Balazard, Balazard, Michel
Mathematics · #Analytic Number Theory Research #FOS: Mathematics #History and Theory of Mathematics #Mathematics and Applications #Number Theory (math.NT) #math.NT
paper · pdf · doi:10.48550/arxiv.1209.3577
Version détaillée et en français d'un article paru aux Travaux de l'Institut Steklov 276 (2012)
arxiv created 2012/09/17 · openalex publication_date 2012/09/17 · arxiv updated 2012/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We use Möbius inversion and the Bernoulli polynomials to prove inequalities between the logarithmic summatory function of the Möbius function and weighted averages of its ordinary summatory function.