Fu-Tsun Wei

activity

19962026

most citedOn derivatives of Siegel-Eisenstein series over global function fields

2 citations · 3 across the 14 of their papers we have counts for

collaborators

16 papers

math.NT2026

$v$ -adic Chowla-Selberg formula over function fields

Fu-Tsun Wei

Let $v$ be a finite place of a rational function field with finite constant field. We establish an Ogus-type $v$ -adic Chowla-Selberg formula for $t$ -motives with "complex multiplic…

math.NT2022

Algebraic Relations among Special Gamma Values and the Chowla-Selberg Phenomenon over Function Fields

Fu-Tsun Wei

The aim of this paper is to determine all algebraic relations among various special gamma values over function fields, and prove a Chowla-Selberg-type formula for quasi-periods of…

math.NT2022

Function Field Analogue of Shimura's Conjecture on Period Symbols

W. Dale Brownawell, Chieh-Yu Chang, Matthew A. Papanikolas +1

In this paper we introduce the notion of Shimura's period symbols over function fields in positive characteristic and establish their fundamental properties. We further formulate a…

math.NT2020

On class number relations, intersections, and GL(2)-tale over the function field side

Jia-Wei Guo, Fu-Tsun Wei

The aim of this paper is to study class number relations over function fields and the intersections of Hirzebruch-Zagier type divisors on the Drinfeld-Stuhler modular surfaces. The…

math.NT2020

Sturm-type bounds for modular forms over functions fields

Cécile Armana, Fu-Tsun Wei

In this paper, we obtain two analogues of the Sturm bound for modular forms in the function field setting. In the case of mixed characteristic, we prove that any harmonic cochain i…

math.NT2019

Drinfeld discriminant function and Fourier expansion of harmonic cochains

Mihran Papikian, Fu-Tsun Wei

Let $F_{\infty} = F_{q} ((1/ T))$ be the completion of $F_{q} (T)$ at $1/ T$ . We develop a theory of Fourier expansions for harmonic cochains on the edges of the Bruhat-T…

math.NT2018★ 1 cited

On Kronecker terms over global function fields

Fu-Tsun Wei

We establish a general Kronecker limit formula of arbitrary rank over global function fields with Drinfeld period domains playing the role of upper-half plane. The Drinfeld-Siegel…

math.NT2018

Generalized Jacobians of modular and Drinfeld modular curves

Fu-Tsun Wei, Takao Yamazaki

We consider the generalized Jacobian $J$ of the modular curve $X_{0} (N)$ of level $N$ with respect to a reduced divisor consisting of all cusps. Supposing $N$ is square f…

math.NT2016

Waldspurger formula over function fields

Chih-Yun Chuang, Fu-Tsun Wei

In this paper, we derive a function field version of the Waldspurger formula for the central critical values of the Rankin-Selberg L-functions. This formula states that the central…

math.NT2016★ 2 cited

On derivatives of Siegel-Eisenstein series over global function fields

Fu-Tsun Wei

The aim of this article is to study the derivative of "incoherent" Siegel-Eisenstein series on symplectic groups over function fields. By the Siegel-Weil formula for "coherent" Sie…

math.NT2015

The rational torsion subgroups of Drinfeld modular Jacobians and Eisenstein pseudo-harmonic cochains

Mihran Papikian, Fu-Tsun Wei

Let $n$ be a square-free ideal of $F_{q} [T]$ . We study the rational torsion subgroup of the Jacobian variety $J_{0} (n)$ of the Drinfeld modular curve $X_0(\frak{…

math.NT2014

On the Eisenstein ideal over function fields

Mihran Papikian, Fu-Tsun Wei

We study the Eisenstein ideal of Drinfeld modular curves of small levels, and the relation of the Eisenstein ideal to the cuspidal divisor group and the component groups of Jacobia…

math.NT2013

The Eisenstein ideal and Jacquet-Langlands isogeny over function fields

Mihran Papikian, Fu-Tsun Wei

Let $p$ and $q$ be two distinct prime ideals of $F_{q} [T]$ . We use the Eisenstein ideal of the Hecke algebra of the Drinfeld modular curve $X_0(\frak{p}\frak{q…

math.NT2012

Class numbers of central simple algebras over global function fields

Fu-Tsun Wei, Chia-Fu Yu

Let $K$ be a global function field together with a place $\infty$ , and $A$ the subring of functions regular outside $\infty$ . In this paper we present an effective method to evalua…

math.NT2011

Mass formula of division algebras over global function fields

Fu-Tsun Wei, Chia-Fu Yu

In this paper we give two proofs of the mass formula for definite central division algebras over global function fields, due to Denert and Van Geel. The first proof is based on a c…

math.DG1996

The Singly Periodic Genus-One Helicoid

David Hoffman, Hermann Karcher, Fusheng Wei

We prove the existence of a complete, embedded, singly periodic minimal surface, whose quotient by vertical translations has genus one and two ends. The existence of this surface w…

v-adic Chowla-Selberg formula over function fields

Algebraic Relations among Special Gamma Values and the Chowla-Selberg Phenomenon over Function Fields

Function Field Analogue of Shimura's Conjecture on Period Symbols

On class number relations, intersections, and GL(2)-tale over the function field side

Sturm-type bounds for modular forms over functions fields

Drinfeld discriminant function and Fourier expansion of harmonic cochains

On Kronecker terms over global function fields

Generalized Jacobians of modular and Drinfeld modular curves

Waldspurger formula over function fields

On derivatives of Siegel-Eisenstein series over global function fields

The rational torsion subgroups of Drinfeld modular Jacobians and Eisenstein pseudo-harmonic cochains

On the Eisenstein ideal over function fields

The Eisenstein ideal and Jacquet-Langlands isogeny over function fields

Class numbers of central simple algebras over global function fields

Mass formula of division algebras over global function fields

The Singly Periodic Genus-One Helicoid

$v$ -adic Chowla-Selberg formula over function fields