10 papers · 1 filter
Bianchi Modular Forms and the Rationality of Periods
Gradin Anderson, Peter Harrigan, Louisa Hoback +2
Using an explicit Eichler-Shimura-Harder isomorphism, we establish the analogue of Manin's rationality theorem for Bianchi periods and hence special values of -functions of Bian…
A Dedekind-Rademacher cocycle for Bianchi groups
Kim Klinger-Logan, Kalani Thalagoda, Tian An Wong
We construct a generalization of the Dedekind-Rademacher cocycle to congruence subgroups of , and derive some of its basic properties. In particular, we s…
The density of the graph of elliptic Dedekind sums
Stephen Bartell, Abby Halverson, Brenden Schlader +2
We show that the graph of normalized elliptic Dedekind sums is dense in its image for arbitrary imaginary quadratic fields, generalizing a result of Ito in the Euclidean case. We a…
Zeroes of Rankin-Selberg -functions and the trace formula
Tian An Wong
We express the contribution of certain maximal parabolic Eisenstein series to the spectral side of the Arthur--Selberg trace formula for GL in terms of zeroes of Rankin--Selbe…
Beyond Endoscopy via Poisson Summation for GL(2,K)
Melissa Emory, Malors Espinosa-Lara, Debanjana Kundu +1
In the early 2000's, R. Langlands proposed a strategy called Beyond Endoscopy to attack the principle of functoriality, which is one of the central questions of present day mathema…
The equidistribution of Elliptic Dedekind sums and generalized Selberg-Kloosterman sums
Kim Klinger-Logan, Tian An Wong
We show that the values of elliptic Dedekind sums, after normalization, are equidistributed mod 1. The key ingredient is a non-trivial bound on generalized Selberg-Kloosterman sums…