11 citations · 43 across the 30 of their papers we have counts for
Showing 2006 · math.COShow all
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math.CO2006★ 2 cited
On examples of difference operators for -valued functions over finite sets
Oleg Karpenkov
Recently V.I.Arnold have formulated a geometrical concept of monads and apply it to the study of difference operators on the sets of -valued sequences of length . In th…
math.CO2006★ 3 cited
Elementary notions of lattice trigonometry
Oleg Karpenkov
In this paper we study properties of lattice trigonometric functions of lattice angles in lattice geometry. We introduce the definition of sums of lattice angles and establish a ne…
math.CO2006★ 5 cited
Classification of lattice-regular lattice convex polytopes
Oleg Karpenkov
In this paper for any dimension n we give a complete list of lattice convex polytopes in R^n that are regular with respect to the group of affine transformations preserving the lat…