New arithmetical proof of the reciprocity law for Dedekind sums

Mouloud Goubi

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arXiv · 1810.06102

New arithmetical proof of the reciprocity law for Dedekind sums

Mouloud Goubi

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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

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Mouloud Goubi. 2018-10-14. New arithmetical proof of the reciprocity law for Dedekind sums. https://arxiv.org/abs/1810.06102

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