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].
@article{bwmeta1.element.bwnjournal-article-aav93i2p189bwm,
author = {Robin Chapman},
title = {Reciprocity laws for generalized higher dimensional Dedekind sums},
journal = {Acta Arithmetica},
volume = {92},
year = {2000},
pages = {189-199},
zbl = {0944.11013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav93i2p189bwm}
}
Robin Chapman. Reciprocity laws for generalized higher dimensional Dedekind sums. Acta Arithmetica, Tome 92 (2000) pp. 189-199. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav93i2p189bwm/
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