Number Theory Seminar
Dedekind sums for Fuchsian groups and reciprocity
Location: Hill 525
Date & time: Tuesday, 13 September 2016 at 2:00PM - 2:11PM
Claire Burrin, Rutgers University: Dedekind introduced the arithmetic sums that now bear his name to express the transformation of log\eta 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.