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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2011, Volume 275, Pages 227–239
(Mi tm3340)
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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
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
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
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https://www.mathnet.ru/eng/tm3340 https://www.mathnet.ru/eng/tm/v275/p227
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Abstract page: | 232 | Full-text PDF : | 57 | References: | 46 |
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