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arXiv:1405.6513 [math.NT]AbstractReferencesReviewsResources

Eisenstein Cohomology for GL(N) and ratios of critical values of Rankin-Selberg L-functions

Günter Harder, A. Raghuram

Published 2014-05-26, updated 2015-06-28Version 2

The aim of this article is to study rank-one Eisenstein cohomology for the group GL(N)/F, where F is a totally real field extension of Q. This is then used to prove rationality results for ratios of successive critical values for Rankin-Selberg L-functions for GL(n) x GL(n') over F with the parity condition that nn' is even. The key idea is to interpret Langlands's constant term theorem in terms of Eisenstein cohomology.

Comments: 82 pages, including Appendix 1 by Uwe Weselmann and Appendix 2 by Chandrasheel Bhagwat and A. Raghuram. Many local edits and improvements in the 2nd version
Categories: math.NT, math.RT
Subjects: 11F75, 11F66, 11F67, 11F70, 22E55
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