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BERESNEVICH, V.—VELANI, S.: A note on zero-one laws in metrical Diophantine approximation, Acta Arithm. 133 (2008), no. 4, 303–374. Search in Google Scholar

CASSELS, J. W. S.: An Introduction to Diophantine Approximations, Cambridge Univ. Press, Cambridge, 1957. Search in Google Scholar

DICKINSON, D.– BERESNEVICH, V.-VELANI, S.: Measure theoretic laws for lim sup sets, Mem. Amer. Math. Soc. 179 (2006), no. 846, 91 pp. Search in Google Scholar

KIM, D. H.: The shrinking target property of irrational rotations, Nonlinearity 20 (2007), 1637–1643. Search in Google Scholar

SHAPIRA, U.: Grids with dense values, Comment. Math. Helv. 88 (2013), 485–506. Search in Google Scholar

SPRINDZHUK, V. G.: Metric Theory of Diophantine Approximations, (Translated from the Russian (Richard A. Silverman ed.) With a foreword by Donald J. Newman.) In: Scripta Series in Mathematics. A Halsted Press Book V. H. Winston & Sons, Washington, D.C.; John Wiley & Sons, New York, 1979. Search in Google Scholar

MOSHCHEVITIN, N.: Khintchine’s theorem on Chebyshev matrices, Istoriko-matemati- cheskie Issledovaniya, Ser. 2, 50 (2014), no. 5, 55-04, Preprint available at arXiv: 1212.5002 (in Russian). Search in Google Scholar

ХИНЧИН, А. Я.: Регулярные системы, линейных уравнений и общая задача Чебышева, Известия АН СССР, серия метематическая, 12 (1948), 249–258. (in Russian) Search in Google Scholar