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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5070| Title: | On the growth of cuspidal cohomology of GL(2) and GL(3) |
| Authors: | AMBI, CHAITANYA Dept. of Mathematics |
| Keywords: | Langlands transfer Cuspidal cohomology Automorphic induction Symmetric square transfer 2020 2020-SEP-WEEK4 TOC-SEP-2020 |
| Issue Date: | Dec-2020 |
| Publisher: | Elsevier B.V. |
| Citation: | Journal of Number Theory, 217, 237-255. |
| 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. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5070 https://doi.org/10.1016/j.jnt.2020.05.004 |
| ISSN: | 0022-314X 1096-1658 |
| Appears in Collections: | JOURNAL ARTICLES |
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