4 papers
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…
A first Kronecker limit formula for Kleinian groups
Zihan Miao, Anh Nguyen, Tian An Wong
We prove a first Kronecker limit formula for cofinite discrete subgroups of SL, also called Kleinian groups, generalizing a method of Goldstein over SL$(2,\mathbb R…
The Density of Elliptic Dedekind Sums
Nicolas Berkopec, Jacob Branch, Rachel Heikkinen +2
Elliptic Dedekind sums were introduced by R. Sczech as generalizations of classical Dedekind sums to complex lattices. We show that for any lattice with real -invariant, the val…