On an Application of the Hardy Classes to the Riemann Zeta-Function

Authors: K. ILGAR EROGLU, IOSSIF V. OSTROVSKII

Abstract: We show that the function f(z) : = \frac{z}{1-z} \zeta (\frac{1}{1-z}), |z| < 1, belongs to the Hardy class H_{p} if and only if 0 < p < 1.

Keywords: Riemann zeta-function, Hardy class, Poisson representation

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