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math.NT2026
Kohnen--Ueda local newforms
Hiroshi Ishimoto
We give a local newform theory for the metaplectic group of rank 1 over a non-archimedean local field of characteristic 0 with odd residual characteristic. It was suggested by some…
math.NT2024
Conductors and local newforms for the metaplectic group of rank 1
Hiroshi Ishimoto
In an earlier paper of W. Casselman, the theory of local newforms and conductors was initiated. Later, Roberts and Schmidt studied local newforms for the metaplectic group of rank…
math.NT2019
Local intertwining relation for metaplectic groups
Hiroshi Ishimoto
In this paper, we formulate and prove a local intertwining relation for metaplectic groups assuming the local intertwining relation for non-quasi-split odd special orthogonal group…