1 citations · 2 across the 11 of their papers we have counts for
11 papers
Structure of large quadratic character sums
Zikang Dong, Weijia Wang, Hao Zhang
In this article, we study the distribution of large quadratic character sums. Based on the recent work of Lamzouri~\cite{La2022}, we obtain the structure results of quadratic chara…
Order types of reflection orders on affine Weyl groups
Weijia Wang, Rui Wang
In this paper, we investigate the order types of reflection orders on irreducible affine Weyl groups. We show that they are intimately related to the Catalan combinatorics. We expl…
Distribution of Dirichlet -functions
Zikang Dong, Weijia Wang, Hao Zhang
In this article, we study the distribution of values of Dirichlet -functions, the distribution of values of the random models for Dirichlet -functions, and the discrepancy be…
Meromorphic quasi-modular forms and their -functions
Weijia Wang, Hao Zhang
We investigate the meromorphic quasi-modular forms and their -functions. We study the space of meromorphic quasi-modular forms. Then we define their -functions by using the t…
Biclosed sets, quasitrivial semigroups and oriented matroid
Weijia Wang, Rui Wang
In this paper, we establish a one-to-one correspondence between the set of biclosed sets in an irreducible root system of type and the set of quasitrivial semigroup structure…
Reduced expression of minimal infinite reduced words of affine Weyl groups
Weijia Wang
For an infinite Coxeter system, one can extend the weak right order to the set of infinite reduced words. This is called limit weak order. In [Transformation Groups 18(1), 2013, 17…
A characterization of simplicial oriented geometries as groupoids with root systems
Matthew Dyer, Weijia Wang
This paper shows that simplicial oriented geometries can be characterized as groupoids with root systems having certain favorable properties, as conjectured by the first author. Th…
Local Finiteness of the Twisted Bruhat Orders on Affine Weyl Groups
Weijia Wang
In this paper, we investigate various properties of strong and weak twisted Bruhat orders on a Coxeter group. In particular, we prove that any twisted strong Bruhat order on an aff…
Infinite Reduced Words, Lattice Property And Braid Graph of Affine Weyl Groups
Weijia Wang
In this paper, we establish a bijection between the infinite reduced words of an affine Weyl group and certain biclosed sets of its positive system and determine all finitely gener…
Twisted Weak Orders of Coxeter Groups
Weijia Wang
In this paper, we initiate the study of the twisted weak order associated to a twisted Bruhat order for a Coxeter group and explore the relationship between the lattice property of…
Oriented Matroid Structures From Realized Root Systems
Matthew Dyer, Weijia Wang
This paper investigates the question of uniqueness of the reduced oriented matroid structure arising from root systems of a Coxeter group in real vector spaces. We settle the quest…