摘要
We prove a converse theorem for split even special orthogonal groups over finite fields.This is the only case left on converse theorems of classical groups and the difficulty is the existence of the outer automorphism. In this paper, we develop new ideas and overcome this difficulty.
基金
partially supported by the NSF Grants DMS-1848058
partially supported by the NSF Grants DMS-1702218, DMS-1848058
start-up funds from the Department of Mathematics at Purdue University.
