Universality in Short Intervals of the Riemann Zeta-Function Twisted by Non-Trivial Zeros

Let 0<γ1<γ2<⋯⩽γk⩽⋯ be the sequence of imaginary parts of non-trivial zeros of the Riemann zeta-function ζ(s). Using a certain estimate on the pair correlation of the sequence {γk} in the intervals [N,N+M] with N1/2+ε⩽M⩽N, we prove that the set of shifts ζ(s+ihγk), h>0, approximating any...

Full description

Bibliographic Details

Published in:	Mathematics (Basel) Vol. 8; no. 11; p. 1936
Main Authors:	Laurinčikas, Antanas, Šiaučiūnas, Darius
Format:	Journal Article
Language:	English
Published:	MDPI AG 01.11.2020
Subjects:	Montgomery pair correlation conjecture non-trivial zeros Riemann zeta-function universality
ISSN:	2227-7390, 2227-7390
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!