Explicit average orders: news and problems

Olivier Ramaré (1, 2, 3)

1 I2M - Institut de Mathématiques de Marseille
2 CNRS - Centre National de la Recherche Scientifique
3 AMU - Aix Marseille Université

We mix some of the novelties that have occurred recently in the field of explicit multiplicative number theory, together with some questions that have not been answered yet and with several new results.

Mots clés: Multiplicative functions; Explicit estimates; Moebius function

Domaines: Théorie des nombres [math.NT]

Olivier Ramaré. Explicit average orders: news and problems. Banach Center Publications, 2019, 118, pp.153-176. ⟨10.4064/bc118-10⟩. ⟨hal-02585977⟩