16 citations · 57 across the 29 of their papers we have counts for
17 papers · 1 filter
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 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…
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 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…
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.
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…
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.
On Fourier coefficients of certain residual representations of symplectic groups
Dihua Jiang, Baiying Liu
In the theory of automorphic descents developed by Ginzburg, Rallis and Soudry in [GRS11], the structure of Fourier coefficients of the residual representations of certain special…
On Extension of Ginzburg-Jiang-Soudry Correspondence to Certain Automorphic Forms on $Sp_{4mn}(\BA)$ and $\wt{Sp}_{4mn \pm 2n}(\BA)$
Baiying Liu
Let be a number field, and $\BA=\BA_F$. In this paper, first, we provide a family of global Arthur parameters confirming all parts of a general conjecture on the relation betwe…
Arthur Parameters and Fourier coefficients for Automorphic Forms on Symplectic Groups
Dihua Jiang, Baiying Liu
We study the structures of Fourier coefficients of automorphic forms on symplectic groups based on their local and global structures related to Arthur parameters. This is a first s…
On Special Unipotent Orbits and Fourier Coefficients for Automorphic Forms on Symplectic Groups
Dihua Jiang, Baiying Liu
Fourier coefficients of automorphic representations of $\Sp_{2n}(\BA)$ are attached to unipotent adjoint orbits in $\Sp_{2n}(F)$, where is a number field and $\BA$ is the r…