Moschevitin, N. G. The best two-dimensional simultaneous Diophantine approximations in sup-norm. (Russian, English) Zbl 1103.41029 Vestn. Mosk. Univ., Ser. I 2005, No. 6, 50-53 (2005); translation in Mosc. Univ. Math. Bull. 60, No. 6, 29-32 (2005). For the exponent \(g_2\) of growth of the best two-dimensional diophantine approximations in sup-norm the estimate \(g_2>1,28^+\) is obtained. This is a refinement of the Lagarias result [see J. S. Lagarias, Trans. Am. Math. Soc. 272, No. 2, 545–554 (1982; Zbl 0495.10021)]. Reviewer: V. G. Miladzhanov (Andizhan) Cited in 2 Documents MSC: 41A50 Best approximation, Chebyshev systems 11D99 Diophantine equations Keywords:Diophantive approximations Citations:Zbl 0495.10021 × Cite Format Result Cite Review PDF