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Chebyshevskii Sbornik, 2010, Volume 11, Issue 1, Pages 255–262 (Mi cheb207)  
This article is cited in 9 scientific papers (total in 9 papers)

The arithmetic and geometry of one-dimensional quasilattices

A. V. Shutov

Vladimir State Humanitarian University
Full-text PDF (383 kB) Citations (9)
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Abstract: In the paper we use some methods of number theory to study arithmetic and geometric properties of one-dimensional quasilattices. The parametrization of any quasilattice is obtained. Conditions of combinatorial and geometrical equivalence of quasilattices are found. We also study solutions of linear diophantine equations over quasilattices.
Received: 18.05.2010
Bibliographic databases:
Document Type: Article
UDC: 519.21
MSC: 11H06
Language: Russian
Citation: A. V. Shutov, “The arithmetic and geometry of one-dimensional quasilattices”, Chebyshevskii Sb., 11:1 (2010), 255–262
Citation in format AMSBIB
\Bibitem{Shu10}
\by A.~V.~Shutov
\paper The arithmetic and geometry of one-dimensional quasilattices
\jour Chebyshevskii Sb.
\yr 2010
\vol 11
\issue 1
\pages 255--262
\mathnet{http://mi.mathnet.ru/cheb207}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2920025}
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  • https://www.mathnet.ru/eng/cheb207
  • https://www.mathnet.ru/eng/cheb/v11/i1/p255
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:266
    Full-text PDF :84
    References:33
    First page:1
     
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