Transference inequalities for multiplicative diophantine exponents |
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Authors: | Oleg N. German |
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Affiliation: | 1.Moscow State University,Moscow,Russia |
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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. |
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