V. A. Bykovskii, “Local Minima of Lattices and Vertices of Klein Polyhedra”, Funktsional. Anal. i Prilozhen., 40:1 (2006), 69–71; Funct. Anal. Appl., 40:1 (2006), 56

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Funktsional'nyi Analiz i ego Prilozheniya, 2006, Volume 40, Issue 1, Pages 69–71
DOI: https://doi.org/10.4213/faa20 (Mi faa20)

This article is cited in 8 scientific papers (total in 8 papers)

Brief communications

Local Minima of Lattices and Vertices of Klein Polyhedra

V. A. Bykovskii

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

Full-text PDF (140 kB) Citations (8)

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DOI: https://doi.org/10.4213/faa20

Received: 21.04.2004

English version:
Functional Analysis and Its Applications, 2006, Volume 40, Issue 1, Pages 56–57
DOI: https://doi.org/10.1007/s10688-006-0007-2

Bibliographic databases:

Document Type: Article

UDC: 511.36+511.9

Language: Russian

Citation: V. A. Bykovskii, “Local Minima of Lattices and Vertices of Klein Polyhedra”, Funktsional. Anal. i Prilozhen., 40:1 (2006), 69–71; Funct. Anal. Appl., 40:1 (2006), 56–57

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/faa20

https://doi.org/10.4213/faa20

https://www.mathnet.ru/eng/faa/v40/i1/p69

This publication is cited in the following 8 articles:

Karpenkov O., Ustinov A., “Geometry and combinatoric of Minkowski–Voronoi 3-dimensional continued fractions”, J. Number Theory, 176 (2017), 375–419
A. V. Ustinov, “Three-dimensional continued fractions and Kloosterman sums”, Russian Math. Surveys, 70:3 (2015), 483–556
A. A. Illarionov, “On the statistical properties of Klein polyhedra in three-dimensional lattices”, Sb. Math., 204:6 (2013), 801–823
A. V. Ustinov, “Minimal Vector Systems in 3-Dimensional Lattices and Analog of Vahlen's Theorem for 3-Dimensional Minkowski's Continued Fractions”, Proc. Steklov Inst. Math., 280, suppl. 2 (2013), S91–S116
A. A. Illarionov, “Estimates of the Number of Relative Minima of Lattices”, Math. Notes, 89:2 (2011), 245–254
A. A. Illarionov, D. A. Slinkin, “O kolichestve vershin mnogogrannikov Kleina tselochislennykh reshetok v srednem”, Dalnevost. matem. zhurn., 11:1 (2011), 48–55
Karpenkov O.N., Vershik A.M., “Rational approximation of maximal commutative subgroups of $\mathrm{GL}(n,\mathbb R)$”, J. Fixed Point Theory Appl., 7:1 (2010), 241–263
O. N. German, “Klein polyhedra and relative minima of lattices”, Math. Notes, 79:4 (2006), 505–510

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Functional Analysis and Its Applications

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