Special Values Of Adjoint L-Functions And Congruences For Automorphic Forms On Gl(N) Over A Number Field

dc.contributor.author	BALASUBRAMANYAM, BASKAR	en_US
dc.contributor.author	RAGHURAM, A.	en_US
dc.date.accessioned	2019-07-01T05:37:14Z
dc.date.available	2019-07-01T05:37:14Z
dc.date.issued	2017-06	en_US
dc.identifier.citation	American Journal of Mathematics, 139, 641-679	en_US
dc.identifier.issn	27-Feb	en_US
dc.identifier.issn	1080-6377	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3338
dc.identifier.uri	https://doi.org/10.1353/ajm.2017.0017	en_US
dc.description.abstract	We prove an integrality result for the value at s = 1 of the adjoint L-function associated to a cohomological cuspidal automorphic representation on GL(n) over any number field. We then show that primes (outside an exceptional set) dividing this special value give rise to congruences between automorphic forms. We also prove a non-vanishing property at infinity for the relevant Rankin-Selberg L-functions on GL(n)-GL(n).	en_US
dc.language.iso	en	en_US
dc.publisher	Johns Hopkins University Press	en_US
dc.subject	Special Values	en_US
dc.subject	Adjoint L-Functions	en_US
dc.subject	Congruences For	en_US
dc.subject	Automorphic Forms On	en_US
dc.subject	Gl(N) Over	en_US
dc.subject	Number Field	en_US
dc.subject	2017	en_US
dc.title	Special Values Of Adjoint L-Functions And Congruences For Automorphic Forms On Gl(N) Over A Number Field	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	American Journal of Mathematics	en_US
dc.publication.originofpublisher	Foreign	en_US