Improving an inequality for the divisor function

Jeffrey P.S. Lay

doi:10.1017/S0004972718000084

Improving an inequality for the divisor function

Jeffrey P.S. Lay^*

^*Corresponding author for this work

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

Abstract

Using elementary means, we improve an explicit bound on the divisor function due to Friedlander and Iwaniec [Opera de Cribro, American Mathematical Society, Providence, RI, 2010]. Consequently, we modestly improve a result regarding a sieving inequality for Gaussian sequences.

Original language	English
Pages (from-to)	374-381
Number of pages	8
Journal	Bulletin of the Australian Mathematical Society
Volume	97
Issue number	3
DOIs	https://doi.org/10.1017/S0004972718000084
Publication status	Published - 1 Jun 2018

Access to Document

10.1017/S0004972718000084

Cite this

@article{da8baa0ed9f14361a12110010078b1a4,

title = "Improving an inequality for the divisor function",

abstract = "Using elementary means, we improve an explicit bound on the divisor function due to Friedlander and Iwaniec [Opera de Cribro, American Mathematical Society, Providence, RI, 2010]. Consequently, we modestly improve a result regarding a sieving inequality for Gaussian sequences.",

keywords = "Gaussian sequences, divisor function, sieve estimates, small divisors",

author = "Lay, {Jeffrey P.S.}",

note = "Publisher Copyright: {\textcopyright} 2018 Australian Mathematical Publishing Association Inc.",

year = "2018",

month = jun,

day = "1",

doi = "10.1017/S0004972718000084",

language = "English",

volume = "97",

pages = "374--381",

journal = "Bulletin of the Australian Mathematical Society",

issn = "0004-9727",

publisher = "Cambridge University Press",

number = "3",

}

TY - JOUR

T1 - Improving an inequality for the divisor function

AU - Lay, Jeffrey P.S.

PY - 2018/6/1

Y1 - 2018/6/1

N2 - Using elementary means, we improve an explicit bound on the divisor function due to Friedlander and Iwaniec [Opera de Cribro, American Mathematical Society, Providence, RI, 2010]. Consequently, we modestly improve a result regarding a sieving inequality for Gaussian sequences.

AB - Using elementary means, we improve an explicit bound on the divisor function due to Friedlander and Iwaniec [Opera de Cribro, American Mathematical Society, Providence, RI, 2010]. Consequently, we modestly improve a result regarding a sieving inequality for Gaussian sequences.

KW - Gaussian sequences

KW - divisor function

KW - sieve estimates

KW - small divisors

UR - http://www.scopus.com/inward/record.url?scp=85044437307&partnerID=8YFLogxK

U2 - 10.1017/S0004972718000084

DO - 10.1017/S0004972718000084

M3 - Article

SN - 0004-9727

VL - 97

SP - 374

EP - 381

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 3

ER -

Improving an inequality for the divisor function

Abstract

Access to Document

Other files and links

Fingerprint

Cite this