Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616072 | Journal of Mathematical Analysis and Applications | 2014 | 14 Pages |
Abstract
We investigate the second moment of a random sampling ζ(1/2+iXt)ζ(1/2+iXt) of the Riemann zeta function on the critical line. Our main result states that if XtXt is an increasing random sampling with gamma distribution, then for all sufficiently large t,E|ζ(1/2+iXt)|2=logt+O(logtloglogt).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Sihun Jo, Minsuk Yang,