294 citations · 328 across the 36 of their papers we have counts for
5 papers · 1 filter
Rankin--Selberg integrals of opposite conductor--one newforms
Dongwen Liu, Lei Zhang
Let be a nonarchimedean local field of characteristic zero and let . For , let be an irreducible tempered representation of of conductor…
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…
Fourier positivity for spherical functions I: split tori and spherical principal series
Michael Björklund, Dongwen Liu, Jun Yu +1
We prove Fourier positivity for spherical functions on a semisimple linear algebraic group over a local field restricted to its split tori for unitary principal series para…
Arithmetic Wavefront Set and Microlocal Structure of Harish-Chandra Character
Dihua Jiang, Dongwen Liu, Zhikang Luo +2
In this paper, we establish in Theorem 1.2 the reciprocity of wavefront sets for irreducible admissible representations of classical groups over any local field of char…