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math.NT2020★ 5 cited
Symmetries of a two-dimensional continued fraction
Oleg N. German, Ibragim A. Tlyustangelov
In this paper we describe the group of symmetries of a two-dimensional continued fraction. As a multidimensional generalization of continued fractions we consider Klein polyhedra.…
math.NT2020
Multiparametric geometry of numbers and its application to splitting transference theorems
Oleg N. German
In this paper we consider a multiparametric version of Wolfgang Schmidt and Leonard Summerer's parametric geometry of numbers. We apply this approach in two settings: the first one…