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Number Theory Seminar

"Dedekind sums for Fuchsian groups and reciprocity"

Location:  Hill 525
Date & time: Tuesday, 13 September 2016 at 2:00PM -

Claire Burrin, Rutgers University

" Dedekind sums for Fuchsian groups and reciprocity"

 
Abstract: Dedekind introduced the arithmetic sums that now bear his name to express the transformation of logeta under the action of the full modular group. We present a construction of Dedekind sums for the larger class of non-uniform lattices in SL2(R), and show that these generalized Dedekind sums obey a generalized reciprocity law, independently of the arithmetic nature of the lattice.

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

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