Analyse spectrale et prolongement analytique : séries d’Eisenstein, fonctions et nombre de solutions d’équations diophantiennes
Arithmetic functions and weighted averages
Arithmetic functions associated with the infinitary divisors of an integer.
Arithmetic progressions, prime numbers, and squarefree integers
In this paper we establish the distribution of prime numbers in a given arithmetic progression for which is squarefree.
Arithmetic properties of numbers with restricted digits
Arithmetical notes, IX. On the set of integers representable as a product of a prime and square
Arithmetical properties of finite rings and algebras, and analytic number theory.
Arithmetical properties of finite rings and algebras, and analytical number theory. V. Categories and relative analytic number theory.
Arithmetical properties of finite rings and algebras, and analytic number theory. IV. Relative asymptotic enumeration and L-series.
Arithmetical properties of finite rings and algebras, and analytic number theory. III. Finite modules and algebras over Dedekind domains.
Arithmetical properties of finite rings and algebras, and analytic number theory. II.
Asymptotic aspects of the Diophantine equation
Asymptotic estimates for some number-theoretic power series
Asymptotic Estimates on Finite Abelian Groups
Asymptotic formulae.
Asymptotic formulae concerning arithmetical functions defined by cross-convolutions. VI: --free integers.
Asymptotic Results for a Class of Arithmetical Functions.
Asymptotically exact heuristics for prime divisors of the sequence .
Asymptotics for a class of arithmetic functions
We study the asymptotic behaviour of the summatory function of a class of arithmetic functions. These functions are generalizations of the well-known general 4-dimensional divisor function d₄(n). We show that the corresponding error estimate is the best one can obtain by the present methods of analytic number theory.
Asymptotische Eigenschaften multiplikativer Funktionen.