In order to obtain the Dirichlet series for the exponential $\zeta(s)^z$, we define and study the basic properties a sequence $(\alpha_n(z))_{n \in {\Bbb Z}^+}$ of polynomials in the indeterminate $z$ which, being used as coefficients of the respective terms of the Dirichlet series of $\zeta(s)$ in the semi-plane $\Re(s)>1$, they... Show more

January 26, 2021

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Dirichlet series for complex powers of the Riemann zeta function

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