A combinatorial refinement of the Kronecker-Hurwitz class number relation

preprint2016arXivOpen access

We give a refinement of the Kronecker-Hurwitz class number relation, based on a tesselation of the Euclidean plane into semi-infinite triangles labeled by $PSL_2(\mathbb{Z})$ that may be of independent interest.

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A combinatorial refinement of the Kronecker-Hurwitz class number relation

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