Reciprocity laws for generalized higher dimensional Dedekind sums
Volume 93 / 2000
Acta Arithmetica 93 (2000), 189-199
DOI: 10.4064/aa-93-2-189-199
Abstract
We define a class of generalized Dedekind sums and prove a family of reciprocity laws for them. These sums and laws generalize those of Zagier [6]. The method is based on that of Solomon [5].