6 papers
Comparing local-global obstructions on algebraic stacks
Chang Lv, Han Wu, Xucheng Zhang
For quotient stacks [X/G] with X a smooth quasi-projective geometrically integral k-variety and G a linear k-group, where k is a number field, we extend some relations between loca…
The Terwilliger algebra for the distance-regular graphs with valency three
Kevin Kauflin, Paul Terwilliger, Barnabás Valkó +2
In this paper, we discuss a family of highly regular graphs, said to be distance-regular. We are particularly interested in the distance-regular graphs with valency three. It is kn…
Voronoi-Hankel Transforms
Zhefeng Shen, Han Wu
We prove that the -Fourier transform introduced by Jiang--Luo and the Voronoi--Hankel transform for introduced by the last author are essentially the same one. We give a s…
The Brauer-Manin obstruction on algebraic stacks
Chang Lv, Han Wu
For algebraic stacks over number fields, we define their Brauer-Manin sets, Brauer-Manin pairings, and extend the descent theory of Colliot-Thélène and Sansuc. By extending Sansu…
On Weyl's Subconvex Bound for Cube-Free Hecke characters: Totally Real Case
Olga Balkanova, Dmitry Frolenkov, Han Wu
We prove a Weyl-type subconvex bound for cube-free level Hecke characters over totally real number fields. Our proof relies on an explicit inversion to Motohashi's formula. Schwart…
On A Generalization of Motohashi's Formula
Han Wu
We study a spectral reciprocity formula relating with and moments of -functions discove…