5 citations · 13 across the 12 of their papers we have counts for
14 papers
The modulo distinction problem for D*
Junyan Liu, Hengfei Lu
Let be a nonarchimedean local field of characteristic zero and residue characteristic . Let be a quadratic field extension of . Let be the unique quaternion divis…
The WZ pair and finite congruences
Xiang Chen, Junyan Liu, Hengfei Lu
We construct a meromorphic Wilf--Zeilberger pair for the hypergeometric series for \(3\ln 2\), completing the WZ proof left open by Guillera and Rogers. The same pair yields a one-…
Modulo distinction problems
Peiyi Cui, Thomas Lanard, Hengfei Lu
Let be a non-archimedean local field of characteristic different from 2 and residual characteristic . This paper concerns the -modular representations of a connected r…
Multiplicity one for the pair (GL(n,D),GL(n,E))
Hengfei Lu
Let F be a local field of characteristic zero. Let D be a quaternion algebra over F. Let E be a quadratic field extension of F. Let μ be a character of GL(1,E). We study the distin…
The action of a mirabolic subgroup on a symmetric variety
Hengfei Lu
Let F be a local field of character zero. Let E be a quadratic field extension of F. We show that any P-invariant linear functional on a GL(n,E)-distinguished irreducible smooth ad…
The generalized linear period
Hengfei Lu
Let be a non-archimedean local field of characteristic zero. We study the linear period problem for the pair and we…
The Siegel-Weil formula for unitary groups: the second term range
Hengfei Lu
We study the Siegel-Weil formula in the second term range () for unitary groups of hermitian forms over a skew-field with involution of the second kind.
The distinction problem for metaplectic case
Hengfei Lu
We use the theta lifts between Mp(2) and PD to study the distinction problems for the pair (Mp(2,E), SL(2,F )), where E is a quadratic field extension over a nonarchimedean local f…
The Prasad conjectures for U(2), SO(4) and Sp(4)
Hengfei Lu
We will give a proof to the Prasad conjectures for , and over a quadratic field extension.
Some applications of theta correspondence to branching laws
Hengfei Lu
In this paper, we will use the local theta correspondences for the dual pair (Sp(W),O(V)) to investigate some branching law problems.
The SL(1,D)-distinction problem
Hengfei Lu
We use the local theta correspondences between the quaternionic Hermitian groups and the quaternionic skew-Hermitian groups to understand the distinction problem for the symmetric…
The Prasad conjectures for and
Hengfei Lu
In this paper, we use the theta correspondence between and to discuss the -distinction problems over a quadratic field extension $…
Theta correspondence and the Prasad conjecture for SL(2)
Hengfei Lu
We use relations between the base change representations and theta lifts, to give a new proof to the local period problems of SL(2) over a nonarchimedean quadratic field extension…
A New Proof to the Period Problems of GL(2)
Hengfei Lu
We use the relations between the base change representations, theta lifts and Whittaker model, to give a new proof to the period problems of over a quadratic local field ex…