Pair correlation statistics for Sato-Tate sequences

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dc.contributor.authorBALASUBRAMANYAM, BASKARen_US
dc.contributor.authorSINHA, KANEENIKAen_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.date.accessioned2019-06-25T08:50:11Z
dc.date.available2019-06-25T08:50:11Z
dc.date.issued2019-09en_US
dc.description.abstractWe 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.identifier.citationJournal of Number Theory, 202, 107-140.en_US
dc.identifier.issn0022-314Xen_US
dc.identifier.issn1096-1658en_US
dc.identifier.sourcetitleJournal of Number Theoryen_US
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3112
dc.identifier.urihttps://doi.org/10.1016/j.jnt.2019.01.015
dc.language.isoenen_US
dc.publication.originofpublisherForeignen_US
dc.publisherElsevier B.V.en_US
dc.subjectPair correlationen_US
dc.subjectSato-Tate distributionen_US
dc.subjectEichler-Selberg trace formulaen_US
dc.subjectTOC-JUN-2019en_US
dc.subject2019en_US
dc.titlePair correlation statistics for Sato-Tate sequencesen_US
dc.typeArticleen_US

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