JournalsdmVol. 24pp. 2613–2684

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

In this work we study the analytic properties of the standard -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 -Function Attached to Siegel-Jacobi Modular Forms. Doc. Math. 24 (2019), pp. 2613–2684

DOI 10.4171/DM/735