Wu, Han (2019) Burgess-like subconvexity for GL(1). COMPOSITIO MATHEMATICA, 155 (8). pp. 1457-1499. ISSN 0010-437X
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Official URL: http://doi.org/10.1112/S0010437X19007309
Abstract
We generalize our previous method on the subconvexity problem for GL 2 GL 1 with cuspidal representations to Eisenstein series, and deduce a Burgess-like subconvex bound for Hecke characters, that is, the bound j L(1= 2; ) j F; C () 1 = 4 = 16+ for varying Hecke characters over a number fi eld F with analytic conductor C (). As a main tool, we apply the extended theory of regularized integrals due to Zagier developed in a previous paper to obtain the relevant triple product formulas of Eisenstein series.
| Item Type: | Article |
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| Additional Information: | Acknowledgements: This paper was prepared while staying at FIM at ETHZ, YMSC at Tsinghua University, Alfred Renyi Institute in Hungary supported by the MTA Renyi Intezet Lenulet Automorphic Research Group, and TAN at EPFL. The author would like to thank all four institutes for their hospitality. Funding details: 00021L-153647 Funding text 1: Research partially supported by SNF-grant 200021-125291 and DFG-SNF-grant 00021L-153647. |
| Uncontrolled Keywords: | Subconvexity; L-function over number field; Burgess-type hybrid bound; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 29 Oct 2019 16:35 |
| Last Modified: | 29 Oct 2019 16:35 |
| URI: | http://real.mtak.hu/id/eprint/102751 |
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