Bouganis, A. (2021) 'On the standard L-function attached to quaternionic modular forms.', Journal of number theory., 222 . pp. 293-345.
Abstract
In this paper we study the analytic properties of the standard L-function attached to vector valued quaternionic modular forms using the Rankin-Selberg method. This involves the construction of vector valued theta series, which we obtain by applying some differential operators on Jacobi-theta series studied by Krieg. Such differential operators are obtained from the Howe-Weyl duality for the pair Spn(C) × GL2n(C).
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Available under License - Creative Commons Attribution Non-commercial No Derivatives. Download PDF (654Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1016/j.jnt.2020.10.024 |
| Publisher statement: | © 2020 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Date accepted: | 26 October 2020 |
| Date deposited: | 11 November 2020 |
| Date of first online publication: | 30 December 2020 |
| Date first made open access: | 30 December 2021 |
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