On the local Hecke series of some classical groups over p-adic fields
On the local Hecke series of some classical groups over p-adic fields
The purpose of this paper is to prove the rationality for the local Hecke series of some classical groups over $\mathfrak{p}$ -adic fields, and to calculate the degrees of its numerator and the denominator.Let $k$ be a $\mathfrak{p}$ -adic field.Let $K$ be either $k$ itself, a quadratic extension of $k$ …