Remarques \'el\'ementaires sur la fonction de M\"obius
classification
🧮 math.NT
keywords
functionobiussummatoryaveragesbernoulliementairesfonctioninequalities
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We use M\"obius inversion and the Bernoulli polynomials to prove inequalities between the logarithmic summatory function of the M\"obius function and weighted averages of its ordinary summatory function.
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