3 citations · 5 across the 11 of their papers we have counts for
11 papers
Local Jacquet-Shalika integrals and modifying factors
Dihua Jiang, Dongwen Liu, Binyong Sun +1
Over any local field of characteristic zero, we develop a local theory of Jacquet-Shalika integrals that were originally introduced by Jacquet and Shalika to study exterior square…
Betti-Whittaker periods of the contragredient representations for
Yubo Jin, Dongwen Liu, Binyong Sun
We define Betti-Whittaker periods for a broad class of cohomological automorphic representations and establish a relation between the periods associated with these representations…
On Deligne's conjecture for Hecke characters
Yubo Jin, Dongwen Liu, Binyong Sun
This paper provides a proof of Deligne's conjecture for critical values of Hecke L-functions following a strategy originated by Harder and Schappacher.
On the Blasius-Deligne conjecture for the standard -functions of symplectic type for
Dihua Jiang, Dongwen Liu, Binyong Sun +1
In this paper we give an unconditional proof of the Blasius-Deligne conjecture for the critical values of the -standard -functions of symplectic type with $n\g…
Period relations for Rankin-Selberg convolutions for
Yubo Jin, Jian-Shu Li, Dongwen Liu +1
Using the modular symbol approach, we prove the rationality and period relations for certain critical values of Rankin-Selberg L-functions for …
On rationality of certain Eisenstein cohomology
Yubo Jin, Dongwen Liu, Binyong Sun
In this paper, we study the Eisenstein cohomology coming from Eisenstein series associated to degenerate principal series representations and prove certain rationality result.
Hausdorffness of certain nilpotent cohomology spaces
Fabian Januszewski, Binyong Sun, Hao Ying
Let be a smooth representation of a compact Lie group on a quasi-complete locally convex complex topological vector space. We show that the Lie algebra cohomology space…
Archimedean period relations for Rankin-Selberg convolutions
Yubo Jin, Dongwen Liu, Binyong Sun
We formulate and prove the archimedean period relations for Rankin-Selberg convolutions of and , for all generi…
Irreducible representations of of minimal Gelfand-Kirillov dimension
Zhanqiang Bai, Yangyang Chen, Dongwen Liu +1
In this article, by studying the Bernstein degrees and Goldie rank polynomials, we establish a comparison between the irreducible representations of p…
Period relations for Rankin-Selberg convolutions for
Jian-Shu Li, Dongwen Liu, Binyong Sun
We formulate and prove the archimedean period relations for Rankin-Selberg convolutions for . As a consequence, we prove the period relations…
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…