Abdelmejid Bayad, Yoshinori Hamahata
Abstract
In the previous paper, we introduced the higher-dimensional Dedekind sums in function fields, and established the reciprocity law. In this paper, we generalize our higher-dimensional Dedekind sums and establish the reciprocity law and the Petersson–Knopp identity.
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In the previous paper, we introduced the higher-dimensional Dedekind sums in function fields, and established the reciprocity law. In this paper, we generalize our higher-dimensional Dedekind sums and establish the reciprocity law and the Petersson–Knopp identity.
Key concepts: Dedekind sum, Reciprocity law, Mathematics, Dedekind cut, Reciprocity (cultural anthropology), Dedekind eta function, Pure mathematics, Identity (music)