%0 Journal Article
%T On Power Sums of Positive Numbers
%A Ruiming Zhang
%J Mathematics
%D 2015
%I arXiv
%X By applying Hausdorff moment problem and Mergelyan's theorem we establish a necessary and sufficient condition for a class of entire functions that have only positive zeros. We apply this results to the Riemann zeta function $\zeta(z)$ and Dirichlet $L$-series $L(s,\chi)$ of real primitive characters to obtain their necessary and sufficient conditions.
%U http://arxiv.org/abs/1510.03420v1