Transference inequalities for multiplicative diophantine exponents
نویسندگان
چکیده
منابع مشابه
Multiplicative Diophantine Exponents of Hyperplanes
We study multiplicative Diophantine approximation property of vectors and compute Diophantine exponents of hyperplanes via dynamics.
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In his paper, Dirichlet gives a complete proof for n = 1 and observes that this proof can be easily extended to arbitrary values of n. Good references on this topic are Chapter II of [52] and Cassels’ book [17]. There are in the literature many papers on various generalisations of the Dirichlet Theorem and on closely related problems. A typical question asks whether for a given set of mn real n...
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ژورنال
عنوان ژورنال: Proceedings of the Steklov Institute of Mathematics
سال: 2011
ISSN: 0081-5438,1531-8605
DOI: 10.1134/s0081543811080153