43 research outputs found
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