52 citations · 253 across the 38 of their papers we have counts for
6 papers · 1 filter
On general sums involving the floor function with applications to -free numbers
Wei Zhang
In this paper, we consider sums related the floor function. We can improve some previous results for some special arithmetic functions considered by Bordellés [3], Stucky[9] and Li…
Higher theta series for unitary groups over function fields
Tony Feng, Zhiwei Yun, Wei Zhang
In previous work, we defined certain virtual fundamental classes for special cycles on the moduli stack of Hermitian shtukas, and related them to the higher derivatives of non-sing…
Deformation of rigid conjugate self-dual Galois representations
Yifeng Liu, Yichao Tian, Liang Xiao +2
In this article, we study deformations of conjugate self-dual Galois representations. The study has two folds. First, we prove an R=T type theorem for a conjugate self-dual Galois…
More Arithmetic Fundamental Lemma conjectures: the case of Bessel subgroups
Wei Zhang
We define some formal moduli space of quasi-isogenies of isoclinic -divisible groups with a non-reductive group as the "structure group". We then formulate new Arithmetic Fundam…
On the Arithmetic Fundamental Lemma conjecture over a general -adic field
Andreas Mihatsch, Wei Zhang
We prove the arithmetic fundamental lemma conjecture over a general -adic field with odd residue cardinality . Our strategy is similar to the one used by the secon…
Higher Siegel--Weil formula for unitary groups: the non-singular terms
Tony Feng, Zhiwei Yun, Wei Zhang
We construct special cycles on the moduli stack of unitary shtukas. We prove an identity between (1) the r-th central derivative of non-singular Fourier coefficients of a normalize…