Skip to main content Accessibility help
×
Home
Hostname: page-component-78bd46657c-vnkdd Total loading time: 0.158 Render date: 2021-05-08T20:27:24.672Z Has data issue: true Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "metricsAbstractViews": false, "figures": false, "newCiteModal": false, "newCitedByModal": true }

On the distribution of nonprimitive lattice points in the plane

Published online by Cambridge University Press:  08 April 2021

Nikolay G. Moshchevitin
Affiliation:
Steklov Mathematical Institute, ul. Gubkina 8, Mocsow 119991, Russia e-mail: moshchevitin@rambler.ru
Corresponding

Abstract

We improve on a result by Svetlana Jitomirskaya and Wencai Liu dealing with inhomogeneous Diophantine approximation in the coprime setting.

MSC classification

Type
Article
Copyright
© Canadian Mathematical Society 2021

Access options

Get access to the full version of this content by using one of the access options below.

References

Chalk, J. and Erdős, P., On the distribution of primitive lattice points in the plane. Canad. Math. Bull. 2(1959), 9196.CrossRefGoogle Scholar
Dujella, A., Continued fractions and RSA with small secret exponent. Tatra Mt. Math. Publ. 29(2004), 101112.Google Scholar
Erdős, P., On an elementary problem in number theory. Canad. Math. Bull. 1(1958), 58.CrossRefGoogle Scholar
Jitomirskaya, S. and Liu, W., Inhomogeneous diophantine approximation in the coprime setting. Adv. Math. 355(2019), 06773.CrossRefGoogle Scholar
Worley, R. T., Estimating $\mid \alpha -p/q\mid$. Austral. Math. Soc. (Series A) 31(1981), 202206.CrossRefGoogle Scholar

Send article to Kindle

To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

On the distribution of nonprimitive lattice points in the plane
Available formats
×

Send article to Dropbox

To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

On the distribution of nonprimitive lattice points in the plane
Available formats
×

Send article to Google Drive

To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

On the distribution of nonprimitive lattice points in the plane
Available formats
×
×

Reply to: Submit a response


Your details


Conflicting interests

Do you have any conflicting interests? *