Jian-Shu Li

activity

19922021

most citedp-adic L-functions for unitary groups

19 citations · 22 across the 5 of their papers we have counts for

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4 papers · 1 filter

math.RT2021

Rankin-Selberg convolutions for $GL (n) \times GL (n)$ and $GL (n) \times GL (n - 1)$ for principal series representations

Jian-Shu Li, Dongwen Liu, Feng Su +1

Let $k$ be a local field. Let $I_{ν}$ and $I_{ν^{'}}$ be smooth principal series representations of $GL_{n} (k)$ and $GL_{n - 1} (k)$ respectively. T…

math.RT2019

Low degree cohomologies of congruence groups

Jian-Shu Li, Binyong Sun

We prove the vanishing of certain low degree cohomologies of some induced representations. As an application, we determine certain low degree cohomologies of congruence groups.

math.RT2009★ 3 cited

Multiplicity preservation for orthogonal-symplectic and unitary dual pair correspondences

Jian-Shu Li, Binyong Sun, Ye Tian

Over a non-archimedean local field of characteristic zero, we prove the multiplicity preservation for orthogonal-symplectic dual pair correspondences and unitary dual pair correspo…

math.RT1992

Ramanujan duals and automorphic spectrum

Marc Burger, Jian-Shu Li, Peter Sarnak

We introduce the notion of the automorphic dual of a matrix algebraic group defined over $Q$ . This is the part of the unitary dual that corresponds to arithmetic spectrum. Basic fu…

Rankin-Selberg convolutions for GL(n)×GL(n) and GL(n)×GL(n−1) for principal series representations

Low degree cohomologies of congruence groups

Multiplicity preservation for orthogonal-symplectic and unitary dual pair correspondences

Ramanujan duals and automorphic spectrum

Rankin-Selberg convolutions for $GL (n) \times GL (n)$ and $GL (n) \times GL (n - 1)$ for principal series representations