Adic distributions attached to twisted tensor L-functions for GL2 over CM fields

BALASUBRAMANYAM, BASKAR

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dc.contributor.author	BALASUBRAMANYAM, BASKAR	en_US
dc.date.accessioned	2019-07-01T05:37:14Z
dc.date.available	2019-07-01T05:37:14Z
dc.date.issued	2017-07	en_US
dc.identifier.citation	Journal of Number Theory, 176, 13-36.	en_US
dc.identifier.issn	0022-314X	en_US
dc.identifier.issn	1096-1658	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3337
dc.identifier.uri	https://doi.org/10.1016/j.jnt.2016.12.020	en_US
dc.description.abstract	Let F be a totally real field. Let E be a quadratic extension that is totally imaginary over F. Let π be a cuspidal automorphic representation of cohomological type for over E. The properties of the twisted tensor L-function associated to π are studied in [6]. Special values of such functions are studied in [8] for and [9] for general F. Fix a prime in F. In this article we study special values of the twisted tensor L-function, , that is twisted by Hecke characters χ over F having -power conductor and . Specifically, we construct -adic distributions that interpolate these special values at certain critical points. This is proved under a certain non-vanishing hypothesis at infinity.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Adic distributions	en_US
dc.subject	GL2	en_US
dc.subject	CM fields	en_US
dc.subject	L-functions	en_US
dc.subject	Automorphic forms for over CM fieldsSpecial values of	en_US
dc.subject	L-functionsTwisted tensor	en_US
dc.subject	L-functionsp-Adic distributions	en_US
dc.subject	2017	en_US
dc.title	Adic distributions attached to twisted tensor L-functions for GL2 over CM fields	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Number Theory	en_US
dc.publication.originofpublisher	Foreign	en_US