MEAN VALUES FOR A CLASS OF ARITHMETIC FUNCTIONS IN SHORT INTERVALS

Jie Wu (1) , Qiang Wu (2)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées
2 Southwestern University of Finance and Economics [Chengdu, China]

In this paper, we shall establish a rather general asymptotic formula in short intervals for a classe of arithmetic functions and announce two applications about the distribution of divisors of square-full numbers and integers representable as sums of two squares.

Domaines: Théorie des nombres [math.NT]

Jie Wu, Qiang Wu. MEAN VALUES FOR A CLASS OF ARITHMETIC FUNCTIONS IN SHORT INTERVALS. Mathematical News / Mathematische Nachrichten, 2020, 293 (1), ⟨10.1002/mana.201800276⟩. ⟨hal-01846225⟩