9 citations · 31 across the 12 of their papers we have counts for
5 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…
An explicit computation of p-stabilized vectors
Michitaka Miyauchi, Takuya Yamauchi
In this paper, we give a method to compute p-stabilized vectors in the space of parahori-fixed vectors for connected reductive groups over p-adic fields. The application to the glo…
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…
Local newforms and formal exterior square L-functions
Michitaka Miyauchi, Takuya Yamauchi
Let F be a non-archimedean local field of characteristic zero. Jacquet and Shalika attached a family of zeta integrals to unitary irreducible generic representations of GL_n(F)…
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…