Eisenstein Cohomology for Orthogonal Groups and the Special Values Of L-Functions for GL1×O(2n)

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dc.contributor.authorBHAGWAT, CHANDRASHEELen_US
dc.contributor.authorRaghuram, A.en_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.date.accessioned2025-08-28T07:04:38Z
dc.date.available2025-08-28T07:04:38Z
dc.date.issued2025-11en_US
dc.description.abstractFor an even positive integer n, we study rank-one Eisenstein cohomology of the split orthogonal group O(2n+2) over a totally real number field F. This is used to prove a rationality result for the ratios of successive critical values of degree-2n Langlands L-functions associated to the group GL(1) x O(2n) over F. The case n = 2 specializes to classical results of Shimura on the special values of Rankin-Selberg L-functions attached to a pair of Hilbert modular forms.en_US
dc.identifier.citationJournal of the Institute of Mathematics of Jussieu, 24(06).en_US
dc.identifier.issn1474-7480en_US
dc.identifier.issn1475-3030en_US
dc.identifier.sourcetitleJournal of the Institute of Mathematics of Jussieuen_US
dc.identifier.urihttps://doi.org/10.1017/S1474748025101096
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10369
dc.language.isoenen_US
dc.publication.originofpublisherForeignen_US
dc.publisherCambridge University Pressen_US
dc.subjectZeta-Functionsen_US
dc.subjectTheoremen_US
dc.subjectRepresentationsen_US
dc.subjectConjectureen_US
dc.subjectPeriodsen_US
dc.subject2025-AUG-WEEK1en_US
dc.subjectTOC-AUG-2025en_US
dc.subject2025en_US
dc.titleEisenstein Cohomology for Orthogonal Groups and the Special Values Of L-Functions for GL1×O(2n)en_US
dc.typeArticleen_US

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