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On the degree of certain local<i>L</i>-functions

On the degree of certain local<i>L</i>-functions

Let π be an irreducible supercuspidal representation of GL n (F), where F is a p-adic field.By a result of Bushnell and Kutzko, the group of unramified self-twists of π has cardinality n/e, where e is the o F -period of the principal o F -order in M n (F) …