Cesàro means related to the square of the divisor function
Concentration function of additive functions on shifted twin primes
Concentration function of additive functions on shifted twin primes
0. Introduction. The content of this paper is part of the author's Ph.D. thesis. The two new theorems in this paper provide upper bounds on the concentration function of additive functions evaluated on shifted γ-twin prime, where γ is any positive even integers. Both results are generalizations of theorems due to I. Z. Ruzsa, N. M. Timofeev, and P. D. T. A. Elliott.
Corrélation de suites arithmétiques
Distribution mod 1 of additive functions on the set of divisors
Distribution of values of a real function: Means, moments, and symmetry.
Euler's function and the sum of divisors.
Fonctions arithmétiques [Book]
Fonctions arithmétiques multiplicatives et multiplicateurs des coefficients de Fourier des fonctions de puissance p-ième sommable
Fonctions entières arithmétiques
Fonctions g-additives et formule asymptotique pour la propriété (n, f(n)) = q
Fonctions g-additives et les suites à spectre vide
Fonctions q-multiplicatives. Application aux nombres de Pisot-Vijayaraghavan.
General multiplicative functions
Grandes valeurs des fonctions arithmétiques
Indépendance statistique d'ensembles liés à la fonction « Somme des chiffres »
Indépendance statistique, somme des chiffres, mesure spectrale
Les suites additives et leur répartition (mod.1)
Limit theorems for the Matsumoto zeta-function
In this paper two weighted functional limit theorems for the function introduced by K. Matsumoto are proved.
Limiting distributions and mean-values of multiplicative arithmetical functions.