Geodesic
Diophantine exponents of lattices and the growth of higher-dimensional analogues of partial quotients
Sbornik. Mathematics, Tome 214 (2023) no. 3, pp. 349-362 Cet article a éte moissonné depuis la source Math-Net.Ru

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A three-dimensional analogue of the connection between the exponent of the irrationality of a real number and the growth of the partial quotients of its expansion in a simple continued fraction is investigated. As a multidimensional generalization of continued fractions, Klein polyhedra are considered. Bibliography: 12 titles.
Keywords: Diophantine exponents, Klein polyhedra. 
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E. R. Bigushev; O. N. German. Diophantine exponents of lattices and the growth of higher-dimensional analogues of partial quotients. Sbornik. Mathematics, Tome 214 (2023) no. 3, pp. 349-362. http://geodesic.mathdoc.fr/item/SM_2023_214_3_a2/

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