8 citations · 11 across the 19 of their papers we have counts for
21 papers
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…
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…
The Three Gap Theorem and Periodic Functions
A. Suki Dasher, A. Hermida, Tian An Wong
The Three Gap Theorem, also known as the Steinhaus Conjecture, is a classical result on the combinatorics of the fractional part function, and has since been generalized in many wa…
A weighted stable trace formula I: Basic functions
Tian An Wong
We establish endoscopic and stable trace formulas whose discrete spectral terms are weighted by automorphic -functions, by the use of basic functions that are incorporated into…
A weighted invariant trace formula
Tian An Wong
This paper begins a new approach to the -trace formula, without removing the nontempered contribution to the spectral side. We first establish an invariant trace formula whose d…
On the balanced Voronoi formula for GL
Tian An Wong
S.D. Miller and F. Zhou have proved a balanced Voronoi summation formula for GL over , which allows one to control the dimensions of the Kloosterman sums appearing o…
Refinements of the trace formula for GL(2)
Tian An Wong
We express the discrete noncuspidal terms in the spectral side of the trace formula for GL(2) in terms of orbital integrals, obtaining a geometric expansion for the cuspidal part o…
On the computational complexity of MSTD sets
Tanuj Mathur, Tian An Wong
We outline a general algorithm for verifying whether a subset of the integers is a more sum than differences (MSTD) set, also known as sum dominated sets, and give estimates on its…
Lattice points in vector-dilated quadratic irrational polytopes
Yashaswika Gaur, Tian An Wong
We study the Ehrhart theory of quadratic irrational polytopes that undergo vector dilations. That is, for a given polytope with vertices in , and a different…
Shifts of the prime divisor function of Alladi and Erdős
Snehal Shekatkar, Tian An Wong
We introduce a variation on the prime divisor function of Alladi and Erdős, a close relative of the sum of proper divisors function . After proving some basic properti…
A note on mock automorphic forms and the BPS index
Tian An Wong
We discuss mock automorphic forms from the point of view of representation theory, that is, obtained from weak harmonic Maass forms give rise to nontrivial -cohom…
Heights of CM cycles and derivatives of L-series
Yara Elias, Tian An Wong
We extend the work of S. Zhang and Yuan-Zhang-Zhang to obtain a Gross-Zagier formula for modular forms of even weight in terms of an arithmetic intersection pairing of CM-cycles on…
Biases in prime factorizations and Liouville functions for arithmetic progressions
Peter Humphries, Snehal M. Shekatkar, Tian An Wong
We introduce a refinement of the classical Liouville function to primes in arithmetic progressions. Using this, we discover new biases in the appearances of primes in a given arith…
Eisenstein cocycles for GL(n) and values of L-functions in imaginary quadratic extensions
Jorge Flórez, Cihan Karabulut, Tian An Wong
We generalize Sczech's Eisenstein cocycle for over totally real extensions of to finite extensions of imaginary quadratic fields. By evaluating the co…
On smoothing singularities of elliptic orbital integrals on GL(n) and Beyond Endoscopy
Oscar E. González, Chung Hang Kwan, Steven J. Miller +2
Recent work of Altuğ continues the preliminary analysis of Langlands' Beyond Endoscopy proposal for by removing the contribution of the trivial representation to the trace…