This article is cited in 2 scientific papers (total in 2 papers)
On a problem in the geometry of numbers
A. M. Raigorodskii
Moscow State University
In this paper, a problem of the geometry of numbers is considered. The notion of the defect is introduced, which helps to measure the difference between a basis in a lattice and a basis in its centering. Various estimates for the defect are obtained as well as some new problems are discussed.
PDF file (239 kB)
A. M. Raigorodskii, “On a problem in the geometry of numbers”, Tr. Inst. Mat., 15:1 (2007), 111–117
Citation in format AMSBIB
\paper On a problem in the geometry of numbers
\jour Tr. Inst. Mat.
Citing articles on Google Scholar:
Related articles on Google Scholar:
This publication is cited in the following articles:
A. A. Bagan, A. M. Raigorodskii, “Defect of an Admissible Octahedron in a Centering of an Integer Lattice Generated by a Given Number of Vectors”, Math. Notes, 99:3 (2016), 457–459
M. A. Fadin, A. M. Raigorodskii, “Maksimalnyi defekt dopustimogo oktaedra v ratsionalnoi reshetke”, UMN, 74:3(447) (2019), 191–192
|Number of views:|