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Izvestiya: Mathematics, 2015, Volume 79, Issue 1, Pages 60–73
DOI: https://doi.org/10.1070/IM2015v079n01ABEH002734 (Mi im8195) 		 
This article is cited in 6 scientific papers (total in 6 papers)

A strengthening of Mahler's transference theorem

O. N. German, K. G. Evdokimov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (273 kB) Citations (6) Russian version article
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DOI: https://doi.org/10.1070/IM2015v079n01ABEH002734
Abstract: We obtain new transference theorems that improve some classical theorems of Mahler. Our results are stated in terms of consecutive minima of pseudo-compound parallelepipeds.
Keywords: transference principle, consecutive minima, pseudo-compound parallelepipeds, dual lattices.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation MK-5016.2012.1
Russian Foundation for Basic Research 12-01-00681
12-01-31106
12-01-33080
Dynasty Foundation
This paper was written with the partial support of the President's Programme (grant no. MK-5016.2012.1), RFBR (grants nos. 12-01-00681, 12-01-31106, 12-01-33080) and the "Dynasty" foundation.
Received: 10.12.2013
Bibliographic databases:
Document Type: Article
UDC: 511.4
MSC: 11H06, 11H60, 11J13, 11J25
Language: English
Original paper language: Russian
Citation: O. N. German, K. G. Evdokimov, “A strengthening of Mahler's transference theorem”, Izv. Math., 79:1 (2015), 60–73
Citation in format AMSBIB
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\by O.~N.~German, K.~G.~Evdokimov
\paper A strengthening of Mahler's transference theorem
\jour Izv. Math.
\yr 2015
\vol 79
\issue 1
\pages 60--73
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Linking options:
  • https://www.mathnet.ru/eng/im8195
  • https://doi.org/10.1070/IM2015v079n01ABEH002734
  • https://www.mathnet.ru/eng/im/v79/i1/p63
    • This publication is cited in the following 6 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:587
    Russian version PDF:243
    English version PDF:22
    References:76
    First page:36
     
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