On the growth of cuspidal cohomology of GL(2) and GL(3)

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dc.contributor.authorAMBI, CHAITANYAen_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.date.accessioned2020-09-25T10:23:10Z
dc.date.available2020-09-25T10:23:10Z
dc.date.issued2020-12en_US
dc.description.abstractWe estimate the growth of cuspidal cohomology of GL(2)(A(Q)) Quantitatively, we provide bounds on the total number of normalised eigenforms of Hecke operators which are obtained by automorphic induction from Hecke characters of imaginary quadratic fields grows as level structure varies. We further investigate how much of cuspidal cohomology of GL(3)(A(Q)) is obtained by symmetric square transfer from GL(2)(A(Q)) when the level structure corresponds to power of an odd prime.en_US
dc.identifier.citationJournal of Number Theory, 217, 237-255.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/123456789/5070
dc.identifier.urihttps://doi.org/10.1016/j.jnt.2020.05.004
dc.language.isoenen_US
dc.publication.originofpublisherForeignen_US
dc.publisherElsevier B.V.en_US
dc.subjectLanglands transferen_US
dc.subjectCuspidal cohomologyen_US
dc.subjectAutomorphic inductionen_US
dc.subjectSymmetric square transferen_US
dc.subject2020en_US
dc.subject2020-SEP-WEEK4en_US
dc.subjectTOC-SEP-2020en_US
dc.titleOn the growth of cuspidal cohomology of GL(2) and GL(3)en_US
dc.typeArticleen_US

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