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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2011, Volume 275, Pages 227–239 (Mi tm3340)  
This article is cited in 9 scientific papers (total in 9 papers)

Transference inequalities for multiplicative Diophantine exponents

Oleg N. German

Moscow State University, Moscow, Russia
Full-text PDF (210 kB) Citations (9)
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Abstract: We prove inequalities for multiplicative analogues of Diophantine exponents; these inequalities are similar to the ones known in the classical case. Particularly, we show that a matrix is badly approximable if and only if its transpose is badly approximable and establish some inequalities connecting multiplicative exponents with ordinary ones.
Received in December 2010
English version:
Proceedings of the Steklov Institute of Mathematics, 2011, Volume 275, Pages 216–228
DOI: https://doi.org/10.1134/S0081543811080153
Bibliographic databases:
Document Type: Article
UDC: 511.4
Language: English
Citation: Oleg N. German, “Transference inequalities for multiplicative Diophantine exponents”, Classical and modern mathematics in the wake of Boris Nikolaevich Delone, Collected papers. In commemoration of the 120th anniversary of Boris Nikolaevich Delone's birth, Trudy Mat. Inst. Steklova, 275, MAIK Nauka/Interperiodica, Moscow, 2011, 227–239; Proc. Steklov Inst. Math., 275 (2011), 216–228
Citation in format AMSBIB
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\paper Transference inequalities for multiplicative Diophantine exponents
\inbook Classical and modern mathematics in the wake of Boris Nikolaevich Delone
\bookinfo Collected papers. In commemoration of the 120th anniversary of Boris Nikolaevich Delone's birth
\serial Trudy Mat. Inst. Steklova
\yr 2011
\vol 275
\pages 227--239
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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