Riesz summability of Dirichlet series generating holomorphic functions of finite order

Andreas Debrouwere, Yarne Tranoy

Given a frequency $\lambda$, we study the Riesz summability of $\lambda$-Dirichlet series ${\sum }_{n=1}^{\infty }{a}_n{e}^{-{\lambda }_{n}s}$ generating holomorphic functions of finite order. We present a new…