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Generalized Dedekind sums
Darren D Long and Alan W Reid
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Geometry & Topology Monographs 7
(2004) 205–212
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Abstract
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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.
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Dedicated to Andrew Casson on the
occasion of his 60th birthday
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Keywords
Cusp set, Dedekind sum
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Mathematical Subject Classification
Primary: 11F20
Secondary: 20H10
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Publication
Received: 19 November 2003
Revised: 21 April 2004
Accepted: 20 April 2004
Published: 19 September 2004
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