F. Su

activity

20162021

collaborators

7 papers

math.RT2021

Rankin-Selberg integrals for principal series representations of GL(n)

Dongwen Liu, Feng Su, Binyong Sun

We prove that the local Rankin--Selberg integrals for principal series representations of the general linear groups agree with certain simple integrals over the Rankin--Selberg sub…

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.NT2017

Upper bounds for geodesic periods over rank one locally symmetric spaces

Jan Möllers, Feng Su

We prove upper bounds for geodesic periods of automorphic forms over general rank one locally symmetric spaces. Such periods are integrals of automorphic forms restricted to specia…

math.NT2017

Rankin-Selberg periods for spherical principal series

Jan Frahm, Feng Su

By the unfolding method, Rankin-Selberg L-functions for $GL (n) \times GL (m)$ can be expressed in terms of period integrals. These period integrals actually define invaria…

math.NT2016

Lattice points counting and bounds on periods of Maass forms

Andre Reznikov, Feng Su

We provide a "soft" proof for non-trivial bounds on spherical, hyperbolic and unipotent Fourier coefficients of a fixed Maass form for a general co-finite lattice $Γ$ in $P G L (2, R)$ …

math.NT2016

Nonvanishing of geodesic periods over compact hyperbolic manifolds

Feng Su

Let $X$ be a compact hyperbolic manifold with dimension $d ⩾ 3$ . In this paper we show that there are infinitely many nonvanishing geodesic periods defined over any compact $…