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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 5 scientific papers (total in 5 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 (5)
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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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2015, Volume 79, Issue 1, Pages 63–76
DOI: https://doi.org/10.4213/im8195
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. RAN. Ser. Mat., 79:1 (2015), 63–76; Izv. Math., 79:1 (2015), 60–73
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2015v079n01ABEH002734
  • https://www.mathnet.ru/eng/im/v79/i1/p63
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:545
    Russian version PDF:232
    English version PDF:14
    References:67
    First page:36
     
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