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Based on previous results of Jiang, Nien and the third author, we prove that any two minimax unitarizable supercuspidals of GL_N that have the same depth and central character admit a special pair of Whittaker functions. This result gives a new reduction towards a final proof of Jacquet's conjecture on the local converse problem for GL_N. As a corollary of our result, we prove Jacquet's conjecture for GL_N, when N is prime.
|Publication status||Published - 27 Jan 2016|
- Local converse problem
- Special pairs of Whittaker functions
- School of Mathematics - Professor of Mathematics
- Algebra and Combinatorics - Member
Person: Research Group Member, Academic, Teaching & Research
- 1 Finished
Explicit Correspondences in Number Theory.
Engineering and Physical Sciences Research Council
31/03/10 → 30/03/15