Scalar product of Dirichlet series and the distribution of integer points on toric varieties.
Scattering by two convex bodies
Séries de Dirichlet
Séries de Dirichlet associées à des fractions rationnelles de plusieurs variables
Series de Dirichlet consideradas como espacios de sucesiones.
Series in Mittag-Leffler Functions: Inequalities and Convergent Theorems
MSC 2010: 30A10, 30B10, 30B30, 30B50, 30D15, 33E12In studying the behaviour of series, defined by means of the Mittag-Leffler functions, on the boundary of its domain of convergence in the complex plane, we prove Cauchy-Hadamard, Abel, Tauber and Littlewood type theorems. Asymptotic formulae are also provided for the Mittag-Leffler functions in the case of " values of indices that are used in the proofs of the convergence theorems for the considered series.
Sets of divergence of Taylor series and of trigonometric series
Several theorems concerning extensions of meromorphic and conformal mappings
Some Banach spaces of Dirichlet series
The Hardy spaces of Dirichlet series, denoted by (p ≥ 1), have been studied by Hedenmalm et al. (1997) when p = 2 and by Bayart (2002) in the general case. In this paper we study some -generalizations of spaces of Dirichlet series, particularly two families of Bergman spaces, denoted and . Each could appear as a “natural” way to generalize the classical case of the unit disk. We recover classical properties of spaces of analytic functions: boundedness of point evaluation, embeddings between...
Some Examples of Power Series with Non-Hadamard Gaps.
Some gap power series in multidimensional setting
We study extensions of classical theorems on gap power series of a complex variable to the multidimensional case.
Some Observations on the Distribution of Values of Continued Fractions.
Sous-espaces fermés de séries universelles sur un espace de Fréchet
We improve a result of Charpentier [Studia Math. 198 (2010)]. We prove that even on Fréchet spaces with a continuous norm, the existence of only one restrictively universal series implies the existence of a closed infinite-dimensional subspace of restrictively universal series.
Spaces of entire functions of slow growth represented by Dirichlet series.
Summation of Formal Power Series Through Iterated Laplace Integrals.
Sur certaines moyennes arithmétiques des fonctions d'une variable complexe
Sur certaines séries entières particulières
Sur certains développements en série de puissances
Sur des extensions par voie «somatique» du théorème de Landau-Fekete de la théorie des singularités des séries de Dirichlet générales
Sur La Convergence Des Rapports De La Somme Partielle Au Terme Général Et Du Reste Ou Terme Général D'Une Série Réelle Ou Complexe