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Dal'nevostochnyi Matematicheskii Zhurnal, 2012, Volume 12, Number 2, Pages 237–254
(Mi dvmg243)
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On certain Littlewood-like and Schmidt-like problems in inhomogeneous Diophantine approximations
N. G. Moshchevitin M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
We give several results related to inhomogeneous approximations to two real numbers and
badly approximable numbers. Our results are related to classical theorems by A. Khintchine [7]
and to an original method invented by Y. Peres and W. Schlag [13].
Key words:
Diophantine approximation, Littlewood conjecture, Peres – Schlag's method, badly approximable numbers.
Received: 10.08.2012
Citation:
N. G. Moshchevitin, “On certain Littlewood-like and Schmidt-like problems in inhomogeneous Diophantine approximations”, Dal'nevost. Mat. Zh., 12:2 (2012), 237–254
Linking options:
https://www.mathnet.ru/eng/dvmg243 https://www.mathnet.ru/eng/dvmg/v12/i2/p237
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Abstract page: | 376 | Full-text PDF : | 134 | References: | 81 | First page: | 1 |
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