On the Analytic Properties of the Standard $L$-Function Attached to Siegel-Jacobi Modular Forms

Thanasis Bouganis; Jolanta Marzec

doi:10.4171/dm/735

JournalsdmVol. 24pp. 2613–2684

On the Analytic Properties of the Standard $L$ -Function Attached to Siegel-Jacobi Modular Forms

Thanasis Bouganis
Department of Mathematical Sciences, Durham University, Durham, UK
Jolanta Marzec
Department of Mathematics, TU Darmstadt, Darmstadt, Germany

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Abstract

In this work we study the analytic properties of the standard $L$ -function attached to Siegel-Jacobi modular forms of higher index, generalizing previous results of Arakawa and Murase. Moreover, we obtain results on the analytic properties of Klingen-type Eisenstein series attached to Jacobi groups.

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Thanasis Bouganis, Jolanta Marzec, On the Analytic Properties of the Standard $L$ -Function Attached to Siegel-Jacobi Modular Forms. Doc. Math. 24 (2019), pp. 2613–2684

DOI 10.4171/DM/735