60 citations · 137 across the 42 of their papers we have counts for
Showing 2001Show all
2 papers · 1 filter
math.NT2001★ 3 cited
Dedekind sums: a combinatorial-geometric viewpoint
Matthias Beck, Sinai Robins
The literature on Dedekind sums is vast. In this expository paper we show that there is a common thread to many generalizations of Dedekind sums, namely through the study of lattic…
math.CO2001★ 9 cited
Explicit and efficient formulas for the lattice point count in rational polygons using Dedekind-Rademacher sums
Matthias Beck, Sinai Robins
We give explicit, polynomial-time computable formulas for the number of integer points in any two-dimensional rational polygon. A rational polygon is one whose vertices have ration…