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On the standard L-function attached to quaternionic modular forms.

Bouganis, A. (2021) 'On the standard L-function attached to quaternionic modular forms.', Journal of number theory., 222 . pp. 293-345.


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.
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Publisher statement:© 2020 This manuscript version is made available under the CC-BY-NC-ND 4.0 license
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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