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Matematicheskie Zametki, 2006, Volume 80, Issue 3, Pages 328–338
DOI: https://doi.org/10.4213/mzm2818 (Mi mzm2818) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Vectors of Given Diophantine Type

R. K. Akhunzhanov, N. G. Moshchevitin

M. V. Lomonosov Moscow State University
Full-text PDF (473 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm2818
Abstract: For a function $\varphi(y)=o(y^{-1/s})$, $y\to\infty$, we prove the existence of vectors $\overline\alpha\in\mathbb R^s$ admitting, for any $\varepsilon>0$, infinitely many simultaneous $\varphi(1+\varepsilon)$-approximations, but not admitting any simultaneous $\varphi$-approximations.
Keywords: vector of Diophantine type, simultaneous Diophantine approximations, Euclidean space, simultaneous $\varphi$-approximation.
Received: 30.12.2003
English version:
Mathematical Notes, 2006, Volume 80, Issue 3, Pages 318–328
DOI: https://doi.org/10.1007/s11006-006-0143-2
Bibliographic databases:
UDC: 511.3
Language: Russian
Citation: R. K. Akhunzhanov, N. G. Moshchevitin, “Vectors of Given Diophantine Type”, Mat. Zametki, 80:3 (2006), 328–338; Math. Notes, 80:3 (2006), 318–328
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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