Elmir Rufkatovich Bigushev, Oleg Nikolaevich German
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Diophantine exponents of lattices and the growth of higher-dimensional analogues of partial quotients
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.
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