29 citations · 154 across the 72 of their papers we have counts for
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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.NT2001★ 1 cited
Arithmetic partition sums and orbits of Z_n^k under the symmetric group S_k
Matthias Beck, Alex J. Feingold, Michael D. Weiner
We study M(n,k,r), the number of orbits of {(a_1,...,a_k)\in Z_n^k | a_1+...+a_k = r (mod n)} under the action of S_k. Equivalently, M(n,k,r) sums the partition numbers of an arith…