Special Values of L-functions for Orthogonal Groups

Abstract

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).

References in corpus (2)

• Eisenstein Cohomology for GL(N) and ratios of critical values of Rankin-Selberg L-functions
• Harish-Chandra Modules over $\mathbb{Z}$