8 papers
Archimedean Modular Symbols for Rankin-Selberg Convolutions of and
Yubo Jin, Zeyu Tian
We explicit calculate the archimedean modular symbol for Rankin-Selberg convolutions of and $\mathrm{GL}_n(\mathbb{C})\ti…
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 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.
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…
Cohomology classes, periods, and special values of Rankin-Selberg -functions
Yubo Jin, Pan Yan
In this article, we give a cohomological interpretation of (a special case of) the integrals constructed by the second named author and Q. Zhang \cite{YanZhang2023} which represent…
On the Torsion Congruence for Zeta Functions of Totally Real Fields
Yubo Jin
In this note, we study the special values for zeta functions of totally real fields using the Shintani's cone decomposition. We prove certain congruence between the special values…