Analytic properties of twisted real-analytic Hermitian Klingen type Eisenstein series and applications

Das, S and Jha, AK (2019) Analytic properties of twisted real-analytic Hermitian Klingen type Eisenstein series and applications. In: Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 89 (2). pp. 105-116.

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Abstract

We prove the meromorphic continuation and the functional equation of a twisted real-analytic Hermitain Eisenstein series of Klingen type, and as a consequence, deduce similar properties for the twisted Dirichlet series associated to a pair of Hermitian modular forms involving their Fourier–Jacobi coefficients. As an application of our result, we prove that infinitely many of the Fourier–Jacobi coefficients of a non-zero Hermitian cusp form do not vanish in any non-trivial arithmetic progression.

Item Type:	Journal Article
Publication:	Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
Publisher:	Springer
Additional Information:	The copyright for this article belongs to Springer.
Keywords:	Dirichlet series; Eisenstein series; Hermitian modular forms
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	05 Jan 2023 09:29
Last Modified:	05 Jan 2023 09:29
URI:	https://eprints.iisc.ac.in/id/eprint/78782

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