Shifted fourth moment of the Riemann zeta-function

Shun Shimomura

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

For the Riemann zeta-function we present an asymptotic formula of a shifted fourth moment in an unbounded shift range along the critical line.

Original languageEnglish
Pages (from-to)104-129
Number of pages26
JournalActa Mathematica Hungarica
Volume137
Issue number1-2
DOIs
Publication statusPublished - 2012 Sep

Fingerprint

Asymptotic Formula
Riemann zeta function
Moment
Line
Range of data

Keywords

  • divisor function
  • fourth moment
  • Riemann zeta-function

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Shifted fourth moment of the Riemann zeta-function. / Shimomura, Shun.

In: Acta Mathematica Hungarica, Vol. 137, No. 1-2, 09.2012, p. 104-129.

Research output: Contribution to journalArticle

Shimomura, Shun. / Shifted fourth moment of the Riemann zeta-function. In: Acta Mathematica Hungarica. 2012 ; Vol. 137, No. 1-2. pp. 104-129.
@article{8f8e4fb2efd44fd495db3f594817c028,
title = "Shifted fourth moment of the Riemann zeta-function",
abstract = "For the Riemann zeta-function we present an asymptotic formula of a shifted fourth moment in an unbounded shift range along the critical line.",
keywords = "divisor function, fourth moment, Riemann zeta-function",
author = "Shun Shimomura",
year = "2012",
month = "9",
doi = "10.1007/s10474-012-0203-x",
language = "English",
volume = "137",
pages = "104--129",
journal = "Acta Mathematica Hungarica",
issn = "0236-5294",
publisher = "Springer Netherlands",
number = "1-2",

}

TY - JOUR

T1 - Shifted fourth moment of the Riemann zeta-function

AU - Shimomura, Shun

PY - 2012/9

Y1 - 2012/9

N2 - For the Riemann zeta-function we present an asymptotic formula of a shifted fourth moment in an unbounded shift range along the critical line.

AB - For the Riemann zeta-function we present an asymptotic formula of a shifted fourth moment in an unbounded shift range along the critical line.

KW - divisor function

KW - fourth moment

KW - Riemann zeta-function

UR - http://www.scopus.com/inward/record.url?scp=84866120230&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84866120230&partnerID=8YFLogxK

U2 - 10.1007/s10474-012-0203-x

DO - 10.1007/s10474-012-0203-x

M3 - Article

AN - SCOPUS:84866120230

VL - 137

SP - 104

EP - 129

JO - Acta Mathematica Hungarica

JF - Acta Mathematica Hungarica

SN - 0236-5294

IS - 1-2

ER -