On a class number formula of Hurwitz
William Duke
UCLA, Los Angeles, USAÖzlem Imamoglu
ETH, Zürich, SwitzerlandÁrpad Tóth
Eotvos Lorand University, Budapest, Hungary
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Abstract
In a little-known paper Hurwitz gave an infinite series representation of the class number for positive definite binary quadratic forms. In this paper we give a similar formula in the indefinite case. We also give a simple proof of Hurwitz’s formula and indicate some extensions.
Cite this article
William Duke, Özlem Imamoglu, Árpad Tóth, On a class number formula of Hurwitz. J. Eur. Math. Soc. 23 (2021), no. 12, pp. 3995–4008
DOI 10.4171/JEMS/1097