Value-Distribution of the Riemann Zeta-Function along its Julia Lines - Collections

＜journal article＞
Value-Distribution of the Riemann Zeta-Function along its Julia Lines

Creator	Creator Name Steuding, Jörn Affiliation Affiliation Name Department of Mathematics, University of Würzburg
Creator	Author PID 100018654 Creator Name Suriajaya, Ade Irma Affiliation Affiliation Name Faculty of Mathematics, Kyushu University
Language	English
Publisher	Springer
Date	2020-04-03
Source Title	Computational Methods and Function Theory
Vol	20
First Page	389
Last Page	401
Publication Type	Version of Record
Access Rights	open access
Rights	© The Author(s) 2020
Rights	This article is licensed under a CreativeCommonsAttribution 4.0 InternationalLicense
Related DOI	isIdenticalTo https://doi.org/10.1007/s40315-020-00316-x
Related URI
Related HDL
Abstract	For an arbitrary complex number a≠0 we consider the distribution of values of the Riemann zeta-function ζ at the a-points of the function Δ which appears in the functional equation ζ(s)=Δ(s)ζ(1−s). Th...ese a-points δa are clustered around the critical line 1/2+iR which happens to be a Julia line for the essential singularity of ζ at infinity. We observe a remarkable average behaviour for the sequence of values ζ(δa).show more

File	FileType	Terms of use	Size	Views	Description
4483207	pdf	None	243 KB	540