Special Values of L-functions for Orthogonal Groups

2016/07/18 by Bhagwat, Chandrasheel, Raghuram, A.
#11F66 #11F67 #11F70 #11F75 #22E55 #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1607.04991

Abstract

This is an announcement of certain rationality results for the critical values of the degree-2n L-functions attached to GL(1) × SO(n, n) over \mathbb Q for an even positive integer n. The proof follows from studying the rank-one Eisenstein cohomology for SO(n + 1, n + 1).

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