Publication date: 10 June 2025
Volume: Vol 60
Issue: Svezak 2
Pages: 197-206
DOI: 10.3336/gm.60.2.02
Glasnik matematički, Vol. 60 No. 2, 2025.
Original scientific paper
https://doi.org/10.3336/gm.60.2.02
Degenerate Eisenstein series on the symplectic group of rank two revisited by a new method for proving holomorphy
Neven Grbac
orcid.org/0000-0001-6657-6297
; Juraj Dobrila University of Pula, 52100 Pula, Croatia
Abstract
In a recent preprint entitled “Holomorphy of Eisenstein series – a new method and applications in the case of the general linear group”,
the author has developed a new method for proving holomorphy of degenerate Eisenstein series, based on the Franke filtration of
spaces of automorphic forms. In this paper, the method is applied in the case of degenerate Eisenstein series
on the symplectic group of rank two. Although the analytic properties of Eisenstein series in that case are already known,
the goal is to exhibit the method in a simple setting, in which all additional technical details are peeled off.
Keywords
Eisenstein series, Franke filtration, method for proving holomorphy, symplectic group of rank two
Hrčak ID:
342479
URI
Publication date:
20.7.2026.
Visits: 408 *