Blomer, V. and Maga, Péter (2016) Subconvexity for sup-norms of cusp forms on PGL(n). SELECTA MATHEMATICA - NEW SERIES, 22 (3). pp. 1269-1287. ISSN 1022-1824
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Official URL: http://dx.doi.org/10.1007/s00029-015-0219-5
Abstract
Let F be an L2-normalized Hecke Maaß cusp form for Γ 0(N) ⊆ SL n(Z) with Laplace eigenvalue λF. If Ω is a compact subset of Γ 0(N) \ PGL n/ PO n, we show the bound ‖F|Ω‖∞≪ΩNελFn(n-1)/8-δ for some constant δ= δn> 0 depending only on n.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Trace formula; Sup-norms; Hecke operators; GL(n); Diophantine approximation; AMPLIFICATION |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 03 Jan 2017 13:08 |
| Last Modified: | 03 Jan 2017 13:08 |
| URI: | http://real.mtak.hu/id/eprint/44153 |
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