On smoothing singularities of elliptic orbital integrals on GL(n) and Beyond Endoscopy

dc.contributor.author	Gonzalez, Oscar E.	en_US
dc.contributor.author	WONG, TIAN AN et al.	en_US
dc.date.accessioned	2019-09-11T05:05:25Z
dc.date.available	2019-09-11T05:05:25Z
dc.date.issued	2018-02	en_US
dc.identifier.citation	Journal of Number Theory, 183, 407-427.	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/123456789/4061
dc.identifier.uri	https://doi.org/10.1016/j.jnt.2017.08.004	en_US
dc.description.abstract	ecent work of Altuğ continues the preliminary analysis of Langlands' Beyond Endoscopy proposal for GL(2) by removing the contribution of the trivial representation by a Poisson summation formula. We show that Altuğ's method of smoothing real elliptic orbital integrals by an approximate functional equation extends to GL(n). We also discuss the case of an arbitrary reductive group, and remaining obstructions for applying Poisson summation.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Beyond Endoscopy	en_US
dc.subject	Orbital integrals	en_US
dc.subject	Approximate functional equation	en_US
dc.subject	2018	en_US
dc.title	On smoothing singularities of elliptic orbital integrals on GL(n) and Beyond Endoscopy	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