16 citations · 57 across the 29 of their papers we have counts for
30 papers
Zero-free half-planes for Hecke L-functions over number fields
Baiying Liu
In [Liu26a], varying the length and moment parameters in the cubic-theta argument of [Ope26a] gave the zero-free half-plane for…
On the weak local Arthur packets conjecture for split classical groups
Baiying Liu, Chi-Heng Lo
Recently, motivated by the theory of real local Arthur packets, making use of the wavefront sets of representations over non-Archimedean local fields , Ciubotaru, Mason-Brown, a…
Quasi-admissible, raisable nilpotent orbits, and theta representations
Fan Gao, Baiying Liu, Wan-Yu Tsai
We study the quasi-admissibility and raisablility of some nilpotent orbits of a covering group. In particular, we determine the degree of the cover such that a given split nilpoten…
On the local converse Theorem for split
Alexander Hazeltine, Baiying Liu
In this paper, we prove the local converse theorem for split even special orthogonal groups over a non-Archimedean local field of characteristic zero. This is the only case left on…
On the intersection of local Arthur packets for classical groups and applications
Alexander Hazeltine, Baiying Liu, Chi-Heng Lo
In this paper, for symplectic and split odd special orthogonal groups, we develop an account of theory on the intersection problem of local Arthur packets. Specifically, following…
On Wave Front Sets of Global Arthur Packets of Classical Groups: Upper Bound
Dihua Jiang, Baiying Liu
We prove a conjecture of the first-named author ([J14]) on the upper bound Fourier coefficients of automorphic forms in Arthur packets of all classical groups over any number field…
Generation of cylindrically symmetric modes and orbitalangular momentum modes with tilted optical gratings inscribed in high numerical aperture fibers
Liang Fang, Hongzhi Jia, Hai Zhou +1
Optical fiber with high numerical aperture (NA) can efficiently relieve the degeneracy of higher order linearly polarized modes. The degeneracy relief is investigated in two types…
Degenerate principal series in the general case
Yeansu Kim, Baiying Liu, Ivan Matic
Let denote either the group , , or over a non-archimedean local field of characteristic different than two. We determine all composit…
Erratum to "On the Non-vanishing of the Central Value of the Rankin-Selberg L-functions"
David Ginzburg, Dihua Jiang, Baiying Liu +1
We complete the proof of Proposition 5.3 of [GJR04].
A reciprocal branching problem for automorphic representations and global Vogan packets
Dihua Jiang, Baiying Liu, Bin Xu
Let be a group and be a subgroup of . The classical branching rule (or symmetry breaking) asks: For an irreducible representation of , determine the occurrence of…
On top Fourier coefficients of certain automorphic representations of GLn
Baiying Liu, Bin Xu
In this paper, we study top Fourier coefficients of certain automorphic representations of . In particular, we prove a conjecture of Jiang on top Fourier…
On a converse theorem for over finite fields
Baiying Liu, Qing Zhang
In this paper, we prove certain multiplicity one theorems and define twisted gamma factors for irreducible generic cuspidal representations of split over finite fields of…
Uniqueness of certain Fourier-Jacobi models over finite fields
Baiying Liu, Qing Zhang
In this paper, we prove the uniqueness of certain Fourier-Jacobi models for the split exceptional group over finite fields with odd characteristic. Similar results are also p…
On the local converse theorem and the descent theorem in families
Baiying Liu, Gilbert Moss
We prove an analogue of Jacquet's conjecture on the local converse theorem for \ell-adic families of co-Whittaker representations of GL_n(F), where F is a finite extension of Q_p a…
A summation formula for triples of quadratic spaces
Jayce R. Getz, Baiying Liu
Let be a triple of even dimensional vector spaces over a number field equipped with nondegenerate quadratic forms , res…
Fourier coefficients attached to small automorphic representations of
Olof Ahlén, Henrik P. A. Gustafsson, Axel Kleinschmidt +2
We show that Fourier coefficients of automorphic forms attached to minimal or next-to-minimal automorphic representations of are completely determined…
A refined Poisson summation formula for certain Braverman-Kazhdan spaces
Jayce R. Getz, Baiying Liu
Braverman and Kazhdan introduced influential conjectures generalizing the Fourier transform and the Poisson summation formula. Their conjectures should imply that quite general Lan…
A remark on a converse theorem of Cogdell and Piatetski-Shapiro
Herve Jacquet, Baiying Liu
In this paper, we reprove a global converse theorem of Cogdell and Piatetski-Shapiro using purely global methods.
Model transition under local theta correspondence
Baiying Liu
We study model transition for representations occurring in the local theta correspondence between split even special orthogonal groups and symplectic groups, over a non-archimedean…
On cuspidality of global Arthur packets for symplectic groups
Dihua Jiang, Baiying Liu
In [Ar13], Arthur classifies the automorphic discrete spectrum of symplectic groups up to global Arthur packets, based on the theory of endoscopy. It is an interesting and basic qu…
On the Local Converse Theorem for p-adic GLn
Herve Jacquet, Baiying Liu
In this paper, we completely prove a standard conjecture on the local converse theorem for generic representations of GLn(F), where F is a non-archimedean local field.
The Jacquet Langlands correspondence via twisted descent
Dihua Jiang, Baiying Liu, Bin Xu +1
The existence of the well-known Jacquet-Langlands correspondence was established by Jacquet and Langlands via the trace formula method in 1970. An explicit construction of such a c…
Fourier coefficients for automorphic forms on quasisplit classical groups
Dihua Jiang, Baiying Liu
In [J14], a conjecture was proposed on a relation between the global Arthur parameters and the structure of Fourier coefficients of the automorphic representations in the correspon…
Raising nilpotent orbits in wave-front sets
Dihua Jiang, Baiying Liu, Gordan Savin
We study wave-front sets of representations of reductive groups over global or non-archimedean local fields.