Metadata only
Autor(in)
Datum
2016-09-12Typ
- Working Paper
ETH Bibliographie
yes
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Abstract
Dedekind sums are arithmetic sums that were first introduced by Dedekind in the context of elliptic functions and modular forms, and later recognized to be surprisingly ubiquitous. Among the variations and generalizations introduced since, there is a construction of Dedekind sums for lattices in $\mathrm{SL}_2(\mathbf{R}). Building upon work of Asai, we prove the reciprocity law for these Dedekind sums, based on a concrete realization of the Euler class. As an application, we obtain an explicit formula expressing Dedekind sums for Hecke triangle groups in terms of continued fractions. Mehr anzeigen
Publikationsstatus
publishedExterne Links
Zeitschrift / Serie
arXivSeiten / Artikelnummer
Verlag
Cornell UniversityOrganisationseinheit
08802 - Iozzi, Alessandra (Tit.-Prof.)
ETH Bibliographie
yes
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