Oleg N. German

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• On the spectrum of Diophantine exponents of lattices2026
• On uniform Diophantine exponents of lattices2026
• О равномерных диофантовых экспонентах решеток2026
• Почти пустые симплексы и полиэдры Клейна2026
• Almost empty simplices and Klein polyhedra2026
• On Diophantine exponents and Khintchine's transference principle2010 · аннотациясвернуть

  In this paper we improve estimates of Jarnik and Apfelbeck for uniform Diophantine exponents of transposed systems of linear forms and generalize to the case of an arbitrary system the estimates of Laurent and Bugeaud…

• Klein polyhedra and lattices with positive norm minima2008 · аннотациясвернуть

  A Klein polyhedron is defined as the convex hull of nonzero lattice points inside an orthant of ℝ n . It generalizes the concept of continued fraction. In this paper facets and edge stars of vertices of a Klein…

• On a multidimensional generalization of Lagrange's theorem on continued fractions2008 · аннотациясвернуть

  We prove a multidimensional analogue of the classical Lagrange theorem on continued fractions using Klein polyhedra as a multidimensional generalization of continued fractions.