68 citations · 178 across the 9 of their papers we have counts for
9 papers
Local Rankin--Selberg integrals for Speh representations
Erez M. Lapid, Zhengyu Mao
We construct analogues of Rankin--Selberg integrals for Speh representations of the general linear group over a -adic field. The integrals are in terms of the Shalika model and…
On Whittaker--Fourier coefficients of automorphic forms on unitary groups: reduction to a local identity
Erez Lapid, Zhengyu Mao
We study Whittaker--Fourier coefficients of automorphic forms on a quasi-split unitary group. We reduce the analogue of the Ichino--Ikeda conjectures to a conjectural local stateme…
On the formal degrees of square-integrable representations of odd special orthogonal and metaplectic groups
Atsushi Ichino, Erez Lapid, Zhengyu Mao
The formal degree conjecture relates the formal degree of an irreducible square-integrable representation of a reductive group over a local field to the special value of the adjoin…
On an analogue of the Ichino--Ikeda conjecture for Whittaker coefficients on the metaplectic group
Erez Lapid, Zhengyu Mao
In previous papers we formulated an analogue of the Ichino--Ikeda conjectures for Whittaker--Fourier coefficients of automorphic forms on classical group and the metaplectic group.…
Model transition for representations of metaplectic type
Erez Lapid, Zhengyu Mao
We study the interplay between different models of the same irreducible representation of the -points of a reductive group over a local field.
Whittaker-Fourier coefficients of cusp forms on : reduction to a local statement
Erez Lapid, Zhengyu Mao
In a previous paper we formulated an analogue of the Ichino-Ikeda conjectures for Whittaker-Fourier coefficients of cusp forms on quasi-split groups, as well as the metaplectic gro…
A conjecture on Whittaker-Fourier coefficients of cusp forms
Erez Lapid, Zhengyu Mao
We formulate an analogue of the Ichino-Ikeda conjectures for the Whittaker-Fourier coefficients of automorphic forms on quasi-split reductive groups. This sharpens the conjectures…
Computation of central value of quadratic twists of modular L-functions
Zhengyu Mao, Fernando Rodriguez-Villegas, Gonzalo Tornaría
Let f be a newform of weight two, prime level p. If D is a fundamental discriminant, define the twisted L-function L(f,D,s) to be the L-function associated to the twist of f by the…
Central value of automorphic functions
Ehud Moshe Baruch, Zhengyu Mao
We prove a generalization to the totally real field case of the Waldspurger's formula relating the Fourier coefficient of a half integral weight form and the central value of the L…