arXiv Analytics

Sign in

arXiv:2207.03393 [math.NT]AbstractReferencesReviewsResources

Eisenstein Cohomology for GL(N) and the special values of Rankin-Selberg L-functions over a totally imaginary number field

A. Raghuram

Published 2022-07-07Version 1

Rationality results are proved for the ratios of critical values of Rankin-Selberg L-functions of GL(n) x GL(n') over a totally imaginary field F, by studying rank-one Eisenstein cohomology for the group GL(N)/F, where N = n+n', generalizing the methods and results of previous work with Guenter Harder where the base field was totally real. In contrast to the totally real situation, the internal structure of the totally imaginary base field has a delicate effect on the rationality results.

Comments: 67 pages
Categories: math.NT
Subjects: 11F67, 11F66, 11F70, 11F75, 20G05, 22E50
Related articles: Most relevant | Search more
arXiv:1405.6513 [math.NT] (Published 2014-05-26, updated 2015-06-28)
Eisenstein Cohomology for GL(N) and ratios of critical values of Rankin-Selberg L-functions
arXiv:2501.03546 [math.NT] (Published 2025-01-07)
Eisenstein Cohomology and Critical Values of Certain $L$-Functions: The Case $G_2$
arXiv:1103.0851 [math.NT] (Published 2011-03-04, updated 2011-06-14)
Eisenstein Cohomology and ratios of critical values of Rankin-Selberg L-functions

Links

Toolbox