Đề tài " On the nonnegativity of L(1/2, π) for SO2n+1 "

Let π be a cuspidal generic representation of SO(2n + 1, A). We prove that L( 1 , π) ≥ 0. 2 1. Introduction Let π be a cuspidal automorphic representation of GLn (A) where A is the ring of ad`les of a number field F . Suppose that π is self-dual. Then the e “standard” L-function ([GJ72]) L(s, π) is real for s ∈ R and positive for s