9 citations · 31 across the 12 of their papers we have counts for
8 papers · 1 filter
Semisimple types for p-adic classical groups
Michitaka Miyauchi, Shaun Stevens
We construct, for any symplectic, unitary or special orthogonal group over a locally compact nonarchimedean local field of odd residual characteristic, a type for each Bernstein co…
On L-factors attached to generic representations of unramified U(2,1)
Michitaka Miyauchi
Let G be the unramified unitary group in three variables defined over a p-adic field of odd residual characteristic. In this paper, we establish a theory of newforms for the Rankin…
Whittaker functions associated to newforms for GL(n) over p-adic fields
Michitaka Miyauchi
Let F be a non-archimedean local field of characteristic zero. Jacquet, Piatetski-Shapiro and Shalika introduced the notion of newforms for irreducible generic representations of G…
Conductors and newforms for non-supercuspidal representations of unramified U(2,1)
Michitaka Miyauchi
Let G be the unramified unitary group in three variables defined over a p-adic field with odd p. The conductors and newforms for representations of G are defined by using a certain…
On local newforms for unramified U(2,1)
Michitaka Miyauchi
Let G be the unramified unitary group in three variables defined over a p-adic field F of odd residual characteristic. In this paper, we investigate local newforms for irreducible…
Representations of non quasi-split unramified U(4) over a p-adic field I:Representations of non-integral level
Michitaka Miyauchi
Let F_0 be a non-archimedean local field of odd residual characteristic and let G be the non quasi-split unramified unitary group in four variables defined over F_0. In this paper,…