7 papers
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.
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 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…
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.
Relative completed cohomologies and modular symbols
Dongwen Liu, Binyong Sun
Generalizing Emerton's completed cohomologies, we define relative completed cohomologies of arithmetic manifolds. We also define modular symbols for them, and show that the relativ…