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

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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",

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doi = "10.1017/S0004972718000084",

language = "English",

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AU - Lay, Jeffrey P.S.

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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 - https://www.scopus.com/pages/publications/85044437307

U2 - 10.1017/S0004972718000084

DO - 10.1017/S0004972718000084

M3 - Article

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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

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