paper

New arithmetical proof of the reciprocity law for Dedekind sums

arXiv:1810.06102

Abstract

In this paper, for coprime numbers p and q we consider the well known Dedekind sums S(p,q) First, we give an improvement of the proof given by H. Rademacher and A. Whiteman, and we construct a new arithmetical proof for the reciprocity law

17 pages