Geometry & Topology Monographs, Vol. 7 (2004),
Proceedings of the Casson Fest,
Paper no. 8, pages 205--212.

Generalized Dedekind sums

DD Long AW Reid


Abstract. Classical Dedekind sums are connected to the modular group through the construction of a (Dedekind) symbol on the cusp set of the modular group. In this paper we study generalizations of Dedekind symbols and sums that can be associated to certain Fuchsian groups uniformizing 1-punctured tori.

Keywords. Cusp set, Dedekind sum

AMS subject classification. Primary: 11F20. Secondary: 20H10.

E-print: arXiv:math.GT/0409367

Submitted to GT on 19 November 2003. (Revised 21 April 2004.) Paper accepted 20 April 2004. Paper published 19 September 2004.

Notes on file formats

DD Long AW Reid
Department of Mathematics, University of California
Santa Barbara, CA 93106, USA
and
Department of Mathematics, University of Texas
Austin, TX 78712, USA
Email: long@math.ucsb.edu, areid@math.utexas.edu

GTM home page

EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 21 Apr 2006. For the current production of this journal, please refer to http://msp.warwick.ac.uk/.