35 citations · 77 across the 25 of their papers we have counts for
6 papers · 1 filter
Non-invariance of weak approximation with Brauer-Manin obstruction for surfaces
Han Wu
In this paper, we study the property of weak approximation with Brauer-Manin obstruction for surfaces with respect to field extensions of number fields. For any nontrivial extensio…
Tate-Shafarevich groups of elliptic curves with nontrivial 2-torsion subgroups
Han Wu
For any number field, we prove that there exists an elliptic curve defined over this field such that its Shafarevich-Tate group has a nontrivial 2-torsion subgroup.
Hybrid subconvexity and the partition function
Nickolas Andersen, Han Wu
We give an upper bound for the error term in the Hardy-Ramanujan-Rademacher formula for the partition function. The main input is a new hybrid subconvexity bound for the central va…
Non-invariance of weak approximation with Brauer--Manin obstruction
Han Wu
In this paper, we study weak approximation with Brauer--Manin obstruction with respect to extensions of number fields. For any nontrivial extension assuming a conjecture of…
Arithmetic of Chatelet surfaces under extensions of base fields
Han Wu
For Châtelet surfaces defined over number fields, we study two arithmetic properties, the Hasse principle and weak approximation, when passing to an extension of the base field. Ge…
Genus one half stacky curves violating the local-global principle
Han Wu, Chang Lv
For any number field, we prove that there exists a stacky curve of genus one half defined over the ring of its integers violating the local-global principle for integral points.