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Turkish Journal of Mathematics

DOI

-

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

First Page

545

Last Page

552

Included in

Mathematics Commons

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