Inequalities for Riemann’s zeta function
Horst Alzer
Waldbröl, Germany
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Abstract
Let and be the Riemann zeta function and the von Mangoldt function, respectively. Further, let . We prove that the double-inequality
holds for all with the best possible constants
This extends and refines a recent result of Cerone and Dragomir.
Cite this article
Horst Alzer, Inequalities for Riemann’s zeta function. Port. Math. 66 (2009), no. 3, pp. 321–327
DOI 10.4171/PM/1846