Pair correlation statistics for Sato-Tate sequences

dc.contributor.author	BALASUBRAMANYAM, BASKAR	en_US
dc.contributor.author	SINHA, KANEENIKA	en_US
dc.date.accessioned	2019-06-25T08:50:11Z
dc.date.available	2019-06-25T08:50:11Z
dc.date.issued	2019-09	en_US
dc.identifier.citation	Journal of Number Theory, 202, 107-140.	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/123456789/3112
dc.identifier.uri	https://doi.org/10.1016/j.jnt.2019.01.015	en_US
dc.description.abstract	We investigate the pair correlation statistics for sequences arising from Hecke eigenvalues with respect to spaces of primitive modular cusp forms. We derive the average pair correlation function for Hecke angles lying in small subintervals of . The averaging is done over non-CM newforms of weight k with respect to . We also derive similar statistics for Hilbert modular forms and modular forms on hyperbolic 3-spaces.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Pair correlation	en_US
dc.subject	Sato-Tate distribution	en_US
dc.subject	Eichler-Selberg trace formula	en_US
dc.subject	TOC-JUN-2019	en_US
dc.subject	2019	en_US
dc.title	Pair correlation statistics for Sato-Tate sequences	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