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Russian Mathematical Surveys, 2010, Volume 65, Issue 3, Pages 433–511
DOI: https://doi.org/10.1070/RM2010v065n03ABEH004680 (Mi rm9354) 		 
This article is cited in 31 scientific papers (total in 31 papers)

Khintchine's singular Diophantine systems and their applications

N. G. Moshchevitin

M. V. Lomonosov Moscow State University
English version PDF (1017 kB) Citations (31)
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DOI: https://doi.org/10.1070/RM2010v065n03ABEH004680
Abstract: This paper is a survey of classical and recent methods in Diophantine approximation theory and its applications related to Khintchine's results on the existence of real numbers admitting extremely good approximations by rational numbers.
Bibliography: 145 titles.
Keywords: multidimensional Diophantine approximations, Khintchine's singular systems, continued fractions, best approximations, Diophantine inequalities, transference theorems, Kozlov problem, Peres–Schlag method.
Received: 29.03.2010
Russian version:
Uspekhi Matematicheskikh Nauk, 2010, Volume 65, Issue 3(393), Pages 43–126
DOI: https://doi.org/10.4213/rm9354
Bibliographic databases:
Document Type: Article
UDC: 511.36
MSC: 11Jxx
Language: English
Original paper language: Russian
Citation: N. G. Moshchevitin, “Khintchine's singular Diophantine systems and their applications”, Uspekhi Mat. Nauk, 65:3(393) (2010), 43–126; Russian Math. Surveys, 65:3 (2010), 433–511
Citation in format AMSBIB
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    • This publication is cited in the following 31 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:1078
    Russian version PDF:411
    English version PDF:50
    References:114
    First page:35
     
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