The pair correlation of homotetic images of zeros of the Riemann zeta-function

Andrew Ledoan; Alexandru Zaharescu

doi:10.1016/j.jmaa.2012.05.010

The pair correlation of homotetic images of zeros of the Riemann zeta-function

Andrew Ledoan, Alexandru Zaharescu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate the pair correlation of zeros of the Riemann zeta-function, ζ. (. s), and zeros of the function ζ. (. k(. s-. 1. /. 2). +. 1. /. 2), for any fixed positive integer k.

Original language	English (US)
Pages (from-to)	275-283
Number of pages	9
Journal	Journal of Mathematical Analysis and Applications
Volume	395
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2012.05.010
State	Published - Nov 1 2012

Keywords

Explicit formula
Pair correlation
Riemann zeta-function

ASJC Scopus subject areas

Analysis
Applied Mathematics

Online availability

10.1016/j.jmaa.2012.05.010

Library availability

Discover UIUC Full Text

Cite this

@article{292f1f6bd2074ec28d68534cc68ca8b1,

title = "The pair correlation of homotetic images of zeros of the Riemann zeta-function",

abstract = "We investigate the pair correlation of zeros of the Riemann zeta-function, ζ. (. s), and zeros of the function ζ. (. k(. s-. 1. /. 2). +. 1. /. 2), for any fixed positive integer k.",

keywords = "Explicit formula, Pair correlation, Riemann zeta-function",

author = "Andrew Ledoan and Alexandru Zaharescu",

note = "Funding Information: During the preparation of this work, the second author received support from the National Science Foundation Grant DMS-0901621 .",

year = "2012",

month = nov,

day = "1",

doi = "10.1016/j.jmaa.2012.05.010",

language = "English (US)",

volume = "395",

pages = "275--283",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - The pair correlation of homotetic images of zeros of the Riemann zeta-function

AU - Ledoan, Andrew

AU - Zaharescu, Alexandru

N1 - Funding Information: During the preparation of this work, the second author received support from the National Science Foundation Grant DMS-0901621 .

PY - 2012/11/1

Y1 - 2012/11/1

N2 - We investigate the pair correlation of zeros of the Riemann zeta-function, ζ. (. s), and zeros of the function ζ. (. k(. s-. 1. /. 2). +. 1. /. 2), for any fixed positive integer k.

AB - We investigate the pair correlation of zeros of the Riemann zeta-function, ζ. (. s), and zeros of the function ζ. (. k(. s-. 1. /. 2). +. 1. /. 2), for any fixed positive integer k.

KW - Explicit formula

KW - Pair correlation

KW - Riemann zeta-function

UR - http://www.scopus.com/inward/record.url?scp=84862983058&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84862983058&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2012.05.010

DO - 10.1016/j.jmaa.2012.05.010

M3 - Article

AN - SCOPUS:84862983058

SN - 0022-247X

VL - 395

SP - 275

EP - 283

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

The pair correlation of homotetic images of zeros of the Riemann zeta-function

Abstract

Keywords

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this