On Random Multiple Dirichlet Series

We study the natural boundary of a random Dirichlet series associated with Goldbach numbers.Comment: soumis (2011) 1-

Upper Bounds for the Davenport Constant

We prove that for all but a certain number of abelian groups of order n its Davenport constant is atmost n/k+k-1 for k=1,2,..,7. For groups of order three we improve on the existing bound involving the Alon-Dubiner constant.Comment: article soumis, decembre 200

Natural boundaries of Dirichlet series

We prove some conditions on the existence of natural boundaries of Dirichlet series. We show that generically the presumed boundary is the natural one. We also give an application of natural boundaries in determining asymptotic results