This article is available for purchase or by subscription. See below.
Abstract
|
Let
denote the greatest common divisor of positive integers
and
, and
let
denote the characteristic function of squarefull numbers. Then, under the Riemann
hypothesis, we shall obtain a more precise asymptotic formula for the following sum
involving squarefull numbers:
|
for any positive real numbers
and
.
|
PDF Access Denied
We have not been able to recognize your IP address
3.138.101.151
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 40.00:
Keywords
squarefull numbers, Riemann zeta-function, divisor
function, asymptotic results on arithmetical functions,
Riemann hypothesis
|
Mathematical Subject Classification
Primary: 11A25
Secondary: 11N37, 11P99
|
Milestones
Received: 19 April 2023
Revised: 15 July 2023
Accepted: 1 August 2023
Published: 23 September 2023
|
© 2023 MSP (Mathematical Sciences
Publishers). |
|