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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