[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2018.020

THE AVERAGING VALUE OF A SAMPLING OF THE RIEMANN ZETA FUNCTION ON THE CRITICAL LINE USING POISSON DISTRIBUTION

Jo, Sihun (Department of Mathematics Education, Woosuk University)

Publication Information

East Asian mathematical journal / v.34, no.3, 2018 , pp. 287-293 More about this Journal

Abstract

We investigate the averaging value of a random sampling ${\zeta}(1/2+iX_t)$ of the Riemann zeta function on the critical line. Our result is that if $X_t$ is an increasing random sampling with Poisson distribution, then ${\mathbb{E}}{\zeta}(1/2+iX_t)=O({\sqrt{\;log\;t}}$ , for all sufficiently large t in ${\mathbb{R}}$ .

Keywords

Riemann zeta function; Poisson distribution;

Citations & Related Records

Reference

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