Zeros of functions in Bergman-type Hilbert spaces of Dirichlet Series

Ole Fredrik Brevig

For a real number $\alpha$ the Hilbert spaces ${\mathcal{D}}_{\alpha }$ consists of those Dirichlet series ${\sum }_{n=1}^{\infty }{a}_n/n^s$ for which ${\sum }_{n=1}^{\infty }|a_n{|}^2/[d(n){]}^{\alpha }<\infty$, wher…