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arXiv · 1405.6513

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

Günter Harder·A. Raghuram
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Abstract

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.

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BibTeXRIS

Günter Harder, A. Raghuram. 2015-06-28. Eisenstein Cohomology for GL(N) and ratios of critical values of Rankin-Selberg L-functions. https://arxiv.org/abs/1405.6513

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