### Marcela Hanzer

Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia
e-mail: hanmar@math.hr

Abstract.   In this paper we determine the poles (in the right half-plane) with their order of the degenerate Eisenstein series attached to the representations induced from a character of the Siegel maximal parabolic subgroup of a symplectic group. We explicitly determine the image of the Eisenstein series and thus determine an automorphic realization of certain irreducible global representations of Sp2n(AQ).

2010 Mathematics Subject Classification.   11F70, 22E50.

Key words and phrases.   Automorphic representations, degenerate Eisenstein series, symplectic groups.

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DOI: 10.3336/gm.50.2.04

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