Abstract
We prove, over a p-adic local field F, that an irreducible supercuspidal representation of GL2n(F) is a local Langlands functorial transfer from SO2n+1(F) if and only if it has a nonzero Shalika model (Corollary 5.2, Proposition 5.4 and Theorem 5.5). Based on this, we verify (Sect. 6) in our cases a conjecture of Jacquet and Martin, a conjecture of Kim, and a conjecture of Speh in the theory of automorphic forms.
Original language | English |
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Pages (from-to) | 187-217 |
Number of pages | 31 |
Journal | Manuscripta Mathematica |
Volume | 127 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2008 Oct |
All Science Journal Classification (ASJC) codes
- General Mathematics