This article is cited in 17 papers

The discrepancy of the Korobov lattice points

V. A. Bykovskii

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: We obtain substantially improved bounds for the discrepancy of the Korobov lattice points from the uniform distribution.

Keywords: uniform distribution, Korobov lattice points, lattice, relative minimum.

UDC: 519.644.7+511.9

MSC: Primary 41A55; Secondary 11K38

Received: 07.12.2010
Revised: 03.03.2011

DOI: 10.4213/im6283

 English version: Izvestiya: Mathematics, 2012, 76:3, 446–465

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