Blomer, V. and Buttcane, J. and Maga, Péter (2017) Applications of the Kuznetsov formula on GL(3) II: the level aspect. MATHEMATISCHE ANNALEN, 369 (1-2). pp. 723-759. ISSN 0025-5831
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Abstract
We develop an explicit Kuznetsov formula on GL(3) for congruence subgroups. Applications include a Lindelöf on average type bound for the sixth moment of GL(3) L-functions in the level aspect, an automorphic large sieve inequality, density results for exceptional eigenvalues and density results for Maaß forms violating the Ramanujan conjecture at finite places. © 2017, Springer-Verlag GmbH Deutschland.
| Item Type: | Article |
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| Additional Information: | Funding details: Volkswagen Foundation Funding details: ERC, European Research Council Funding details: NK104183, OTKA, Országos Tudományos Kutatási Alapprogramok N1 Funding text: The authors would like to thank the referee for a careful reading of the manuscript. V. Blomer was supported by the Volkswagen Foundation and a Starting Grant of the European Research Council. J.Buttcane was supported by a Starting Grant of the European Research Council. P. Maga was supported by a Starting Grant of the European Research Council and OTKA Grant No. NK104183. |
| Uncontrolled Keywords: | Primary 11F72; 11F66 |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 30 Dec 2017 06:08 |
| Last Modified: | 30 Dec 2017 06:08 |
| URI: | http://real.mtak.hu/id/eprint/71655 |
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