A generalization of a second irreducibility theorem of I. Schur
A note on a result of Bateman and Chowla
An inequality for the class number.
Asymptotic behaviour of some infinite products involvingprime numbers
Caractérisation des fonctions multiplicatives presque- périodiques à spectre non vide
Nous caractérisons, dans cet article, les fonctions multiplicatives presque périodiques au sens de Bésicovith ayant un spectre de Fourier non vide.
Charakterisierung der additiven, fast-geraden Funktionen.
Corrections to "Asymptotic behaviour of some infinite products involving prime numbers" (Acta Arith. 75 (1996), 339-350)
Corrélation de suites arithmétiques
Distribution of values of Hecke characters of infinite order
We show that the number of primes of a number field K of norm at most x, at which the local component of an idele class character of infinite order is principal, is bounded by O(x exp(-c√(log x))) as x → ∞, for some absolute constant c > 0 depending only on K.
Extension of Estermann’s theorem to Euler products associated to a multivariate polynomial
Given a multivariate polynomial with integral coefficients verifying an hypothesis of analytic regularity (and satisfying ), we determine the maximal domain of meromorphy of the Euler product and the natural boundary is precisely described when it exists. In this way we extend a well known result for one variable polynomials due to Estermann from 1928. As an application, we calculate the natural boundary of the multivariate Euler products associated to a family of toric varieties.
Fonctions arithmétiques multiplicatives et multiplicateurs de Fourier. II
Fourier Analysis of Riemann Distributions and Explicit Formulas.
Funktionen mit formalen Eulerprodukt.
Harmonic properties of some arithmetical sequences.
Mellin Transforms and Fourier-Ramanujan Expansions.
On Dirichlet convolution method.
On Mellin-Ramanujan expansions
On multiplicative magic squares.
On the almost periodic behaviour of certain arithmetical convolutions
On the number of perfect binary quadratic forms.