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20192026
most citedPeriod Relations for Standard -functions of Symplectic Type

3 citations · 5 across the 5 of their papers we have counts for

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5 papers

math.RT2026

Arithmetic Wavefront Set and Microlocal Structure of Harish-Chandra Character

Dihua Jiang, Dongwen Liu, Zhikang Luo +2

In this paper, we establish in Theorem 1.2 the reciprocity of wavefront sets for irreducible admissible representations of classical groups over any local field of char…

math.NT2025

On the Blasius-Deligne conjecture for the standard -functions of symplectic type

Dihua Jiang, Dongwen Liu, Binyong Sun +1

The Blasius-Deligne conjecture for automorphic -functions is about the period relations and the algebraicity of critical -values. In this paper, we prove the Blasius-Deligne…

math.RT2023

Arithmetic Branching Law and generic -packets

Cheng Chen, Dihua Jiang, Dongwen Liu +1

Let be a classical group defined over a local field of characteristic zero. For any irreducible admissible representation of , which is of Casselman-Wallach type…

math.RT2021★ 2 cited

Certain Fourier Operators and their Associated Poisson Summation Formulae on

Dihua Jiang, Zhilin Luo

In this paper, we explore a possibility to utilize harmonic analysis on $\GL_1$ to understand Langlands automorphic -functions in general, as a vast generalization of the pionee…

math.NT2019★ 3 cited

Period Relations for Standard -functions of Symplectic Type

Dihua Jiang, Binyong Sun, Fangyang Tian

This article is to understand the critical values of -functions and to establish the relation of the relevant global periods at the critical places. Here i…