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Sbornik: Mathematics, 2005, Volume 196, Issue 3, Pages 337–365
DOI: https://doi.org/10.1070/SM2005v196n03ABEH000883 (Mi sm1272) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Sails and norm minima of lattices

O. N. German

M. V. Lomonosov Moscow State University
English version PDF (312 kB) Citations (15) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2005v196n03ABEH000883
Abstract: It is known that a real number is badly approximable if and only if its partial quotients are uniformly bounded. In this paper an analogous assertion is proved for the so-called sails, which is one of the most natural multidimensional generalizations of continued fractions.
Received: 16.12.2003 and 15.10.2004
Bibliographic databases:
UDC: 511.9
MSC: Primary 11J70; Secondary 11H06, 52C07
Language: English
Original paper language: Russian
Citation: O. N. German, “Sails and norm minima of lattices”, Sb. Math., 196:3 (2005), 337–365
Citation in format AMSBIB
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\by O.~N.~German
\paper Sails and norm minima of lattices
\jour Sb. Math.
\yr 2005
\vol 196
\issue 3
\pages 337--365
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:587
    Russian version PDF:290
    English version PDF:15
    References:54
    First page:1
     
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