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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, Mocsow119991, Russia e-mail: [email protected]

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

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References

Chalk, J. and Erdős, P., On the distribution of primitive lattice points in the plane . Canad. Math. Bull. 2(1959), 9196.10.4153/CMB-1959-014-7CrossRefGoogle 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), 58.10.4153/CMB-1958-002-9CrossRefGoogle 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), 202206.10.1017/S1446788700033486CrossRefGoogle Scholar