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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3338| Title: | Special Values Of Adjoint L-Functions And Congruences For Automorphic Forms On Gl(N) Over A Number Field |
| Authors: | BALASUBRAMANYAM, BASKAR RAGHURAM, A. Dept. of Mathematics |
| Keywords: | Special Values Adjoint L-Functions Congruences For Automorphic Forms On Gl(N) Over Number Field 2017 |
| Issue Date: | Jun-2017 |
| Publisher: | Johns Hopkins University Press |
| Citation: | American Journal of Mathematics, 139, 641-679 |
| 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). |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3338 https://doi.org/10.1353/ajm.2017.0017 |
| ISSN: | 27-Feb 1080-6377 |
| Appears in Collections: | JOURNAL ARTICLES |
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