Maga, Péter (2017) Subconvexity for twisted L-functions over number fields via shifted convolution sums. Acta Mathematica Hungarica, 151 (1). pp. 232-257. ISSN 0236-5294 (print), 1588-2632 (online)
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Official URL: http://dx.doi.org/10.1007/s10474-016-0681-3
Abstract
Assume that π is a cuspidal automorphic GL2 representation over a number field F. Then for any Hecke character χ of conductor q, the subconvex bound L(1/2,π⊗χ)≪F,π,χ∞,εNq3/8+θ/4+ε holds for any ε>0, where θ is any constant towards the Ramanujan-Petersson conjecture (θ=7/64 is admissible). In these notes, we derive this bound from the spectral decomposition of shifted convolution sums worked out by the author in [21].
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 16 Feb 2017 13:06 |
| Last Modified: | 16 Feb 2017 13:06 |
| URI: | http://real.mtak.hu/id/eprint/49320 |
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