35 citations · 77 across the 25 of their papers we have counts for
4 papers · 1 filter
On genus one curves violating the local-global principle
Han Wu
For any number field not containing $\QQ(i),$ we give an explicit construction to prove that there exists an elliptic curve defined over this field such that its Shafarevich-Tate g…
Bias of Root Numbers for Hilbert Newforms of Cubic Level
Zhilin Luo, Qinghua Pi, Han Wu
We give a general formula of the bias of root numbers for Hilbert modular newforms of cubic level. Explicit calculation is given when the base field is $\mathbb{Q}, \mathbb{Q}(\sqr…
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…
Non-invariance of the Brauer-Manin obstruction for surfaces
Han Wu
In this paper, we study the properties of weak approximation with Brauer-Manin obstruction and the Hasse principle with Brauer-Manin obstruction for surfaces with respect to field…