Geodesic
On the Analytic Properties of the Standard $L$-Function Attached to Siegel-Jacobi Modular Forms
Documenta mathematica, Tome 24 (2019), pp. 2613-2684
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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.
DOI : 10.4171/dm/735
Classification : 11F46, 11F50, 11F66, 11F67, 11R42
Mots-clés : L-functions, Eisenstein series, Hecke operators, Jacobi group, Siegel-Jacobi modular forms 
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     author = {Thanasis Bouganis and Jolanta Marzec},
     title = {On the {Analytic} {Properties} of the {Standard} $L${-Function} {Attached} to {Siegel-Jacobi} {Modular} {Forms}},
     journal = {Documenta mathematica},
     pages = {2613--2684},
     year = {2019},
     volume = {24},
     doi = {10.4171/dm/735},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/735/}
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Thanasis Bouganis; Jolanta Marzec. On the Analytic Properties of the Standard $L$-Function Attached to Siegel-Jacobi Modular Forms. Documenta mathematica, Tome 24 (2019), pp. 2613-2684. doi: 10.4171/dm/735

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