Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

Request Permissions   Purchase Content 
 

 

A combinatorial refinement of the Kronecker-Hurwitz class number relation


Authors: Alexandru A. Popa and Don Zagier
Journal: Proc. Amer. Math. Soc. 145 (2017), 1003-1008
MSC (2010): Primary 11E41
DOI: https://doi.org/10.1090/proc/13281
Published electronically: September 15, 2016
MathSciNet review: 3589300
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 $ \mathrm {PSL}_2(\mathbb{Z})$ that may be of independent interest.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 11E41

Retrieve articles in all journals with MSC (2010): 11E41


Additional Information

Alexandru A. Popa
Affiliation: Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, RO-014700 Bucharest, Romania
Email: alexandru.popa@imar.ro

Don Zagier
Affiliation: Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany
Email: don.zagier@mpim-bonn.mpg.de

DOI: https://doi.org/10.1090/proc/13281
Received by editor(s): April 11, 2016
Received by editor(s) in revised form: May 7, 2016
Published electronically: September 15, 2016
Additional Notes: The first author was partly supported by CNCSIS grant TE-2014-4-2077. He would like to thank the MPIM in Bonn and the IHES in Bures-sur-Yvette for providing support and a stimulating research environment while he was working on this paper.
Communicated by: Kathrin Bringmann
Article copyright: © Copyright 2016 American Mathematical Society