Special Values of L-functions for Orthogonal Groups
  This is an announcement of certain rationality results for the critical values of the degree-2n L-functions attached to GL(1) $\times$ 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). 
Chandrasheel Bhagwat, A. Raghuram
math.NT math.RT