On algebras of Dirichlet series invariant under permutations of coefficients

Alexander Brudnyi, Amol Sasane

Let ${\mathcal{O}}_u$ be the algebra of holomorphic functions on ${\mathbf{C}}_{+}:=\{s\in \mathbf{C}:\text{Re }s>0\}$ that are limits of Dirichlet series $D={\sum }_{n=1}^{\infty }{a}_n{n}^{-s}$, $s\in…