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).
|Full text:||(AM) Accepted Manuscript|
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
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|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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