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Variation of the number of lattice points in large balls

journal contribution
posted on 2023-06-08, 00:07 authored by M M Skriganov, A V Sobolev
For rational lattices in Rd, d ‚ 4 we prove lower bounds for the variation of the number of lattice points inside balls of large radius with a variable centre. The obtained estimates are sharp for d ‚ 5.

History

Publication status

  • Published

Journal

Acta Arithmetica

ISSN

0065-1036

Publisher

Institute of Mathematics Polish Academy of Sciences

External DOI

Issue

3

Volume

120

Page range

245-267

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2013-02-12

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