English

Special Values of L-functions for Orthogonal Groups

Number Theory 2016-07-19 v1 Representation Theory

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 Q\mathbb Q for an even positive integer n. The proof follows from studying the rank-one Eisenstein cohomology for SO(n + 1, n + 1).

Keywords

Cite

@article{arxiv.1607.04991,
  title  = {Special Values of L-functions for Orthogonal Groups},
  author = {Chandrasheel Bhagwat and A. Raghuram},
  journal= {arXiv preprint arXiv:1607.04991},
  year   = {2016}
}
R2 v1 2026-06-22T14:56:59.902Z