An estimate of the second moment of a sampling of the Riemann zeta function on the critical line

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:415

Article

Jo, Sihun¹  Yang, Minsuk¹ 

[1] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea

关键词: Riemann zeta-function;    Gamma process;    Van der Corput's method;   

DOI  :  10.1016/j.jmaa.2014.01.040

来源: Elsevier

【 摘 要 】

We investigate the second moment of a random sampling zeta(1/2 + iX(t)) of the Riemann zeta function on the critical line. Our main result states that if X-t is an increasing random sampling with gamma distribution, then for all sufficiently large t, [GRAPHICS] (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free