42 citations · 82 across the 21 of their papers we have counts for
12 papers · 1 filter
Local Intertwining Relations and Co-tempered -packets of Classical Groups
Hiraku Atobe, Wee Teck Gan, Atsushi Ichino +3
The local intertwining relation is an identity that gives precise information about the action of normalized intertwining operators on parabolically induced representations. We pro…
Harder's conjecture II
Hiraku Atobe, Masataka Chida, Tomoyoshi Ibukiyama +2
Let be a primitive form of weight for , and let be a prime ideal of the Hecke field of . We denote by the Siegel modular group of degree .…
Local newforms for generic representations of unramified odd unitary groups and Fundamental Lemma
Hiraku Atobe, Masao Oi, Seidai Yasuda
In this paper, we establish the theory of local newforms for irreducible tempered generic representations of unramified odd unitary groups over a non-archimedean local field. For t…
Local newforms for the general linear groups over a non-archimedean local field
Hiraku Atobe, Satoshi Kondo, Seidai Yasuda
In [12], Jacquet--Piatetskii-Shapiro--Shalika defined a family of compact open subgroups of -adic general linear groups indexed by non-negative integers, and established the the…
Harder's conjecture I
Hiraku Atobe, Masataka Chida, Tomoyoshi Ibukiyama +2
Let be a primitive form with respect to . Then we propose a conjecture on the congruence between the Klingen-Eisenstein lift of the Duke-Imamoglu-Ikeda lift of and…
Applications of Arthur's multiplicity formula to Siegel modular forms
Hiraku Atobe
We give two applications of Arthur's multiplicity formula to Siegel modular forms. The one is a lifting theorem for vector valued Siegel modular forms, which contains Miyawaki's co…
A theory of Miyawaki liftings: The Hilbert-Siegel case
Hiraku Atobe
The Miyawaki liftings are defined by the pullbacks of Ikeda liftings. Recently, Ikeda and Yamana extended the theory of Ikeda liftings. In this paper, using their results, we estab…
Local Theta correspondence of Tempered Representations and Langlands parameters
Hiraku Atobe, Wee Teck Gan
In this paper, we give an explicit determination of the theta lifting for symplectic-orthogonal and unitary dual pairs over a nonarchimedean field of characteristic . We det…
On the local Langlands correspondence for quasi-split even orthogonal groups
Hiraku Atobe, Wee Teck Gan
In this paper, we highlight and state precisely the local Langlands correspondence for quasi-split O_{2n} established by Arthur. We give two applications: Prasad's conjecture and G…
On the uniqueness of generic representations in an -packet
Hiraku Atobe
In this paper, we give a simple and short proof of the uniqueness of generic representations in an -packet for a quasi-split connected classical group over a non-archimedean loc…
The local theta correspondence and the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case
Hiraku Atobe
We prove the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case under some assumptions. This is the last case of the local Gan-Gross-Prasad conjectures. We also…
Pullbacks of hermitian Maass lifts
Hiraku Atobe
We consider pullbacks of hermitian Maass lifts of degree 2 to the diagonal matrices. By using the pullbacks, we give an explicit formura for central values of L-functions for GL(2)…