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Izvestiya: Mathematics, 2020, Volume 84, Issue 1, Pages 3–22
DOI: https://doi.org/10.1070/IM8810 (Mi im8810) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Linear forms of a given Diophantine type and lattice exponents

O. N. German

Lomonosov Moscow State University
English version PDF (526 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/IM8810
Abstract: In this paper we prove an existence theorem concerning linear forms of a given Diophantine type and apply it to study the structure of the spectrum of lattice exponents.
Keywords: Diophantine approximation, lattice exponents, linear forms of a given Diophantine type.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00886
Contest «Young Russian Mathematics»
This research was supported by RFBR (grant no. 18-01-00886) and also in part by the Young Russian Mathematics award.
Received: 13.05.2018
Revised: 20.10.2018
Bibliographic databases:
Document Type: Article
UDC: 511.4
MSC: 11J82
Language: English
Original paper language: Russian
Citation: O. N. German, “Linear forms of a given Diophantine type and lattice exponents”, Izv. Math., 84:1 (2020), 3–22
Citation in format AMSBIB
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\by O.~N.~German
\paper Linear forms of a given Diophantine type and lattice exponents
\jour Izv. Math.
\yr 2020
\vol 84
\issue 1
\pages 3--22
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85085075793}
Linking options:
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  • https://doi.org/10.1070/IM8810
  • https://www.mathnet.ru/eng/im/v84/i1/p5
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:435
    Russian version PDF:82
    English version PDF:25
    References:37
    First page:28
     
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