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

dc.contributor.author	AMBI, CHAITANYA	en_US
dc.date.accessioned	2020-09-25T10:23:10Z
dc.date.available	2020-09-25T10:23:10Z
dc.date.issued	2020-12	en_US
dc.identifier.citation	Journal of Number Theory, 217, 237-255.	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/123456789/5070
dc.identifier.uri	https://doi.org/10.1016/j.jnt.2020.05.004	en_US
dc.description.abstract	We 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.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Langlands transfer	en_US
dc.subject	Cuspidal cohomology	en_US
dc.subject	Automorphic induction	en_US
dc.subject	Symmetric square transfer	en_US
dc.subject	2020	en_US
dc.subject	2020-SEP-WEEK4	en_US
dc.subject	TOC-SEP-2020	en_US
dc.title	On the growth of cuspidal cohomology of GL(2) and GL(3)	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