A combinatorial refinement of the Kronecker-Hurwitz class number relation

2016/04/11 by Alexandru A. Popa, Don Zagier, Popa, Alexandru A. +1
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Theories and Applications #Mathematics and Applications #math.NT #msc:11E41

paper · pdf · doi:10.48550/arxiv.1604.02822

6 pages, 3 figures

arxiv created 2016/04/11 · arxiv updated 2016/04/12

Abstract

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 PSL₂(ℤ) that may be of independent interest.

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