Godement’s criterion for convergence of Eisenstein series
نویسنده
چکیده
The point is a relatively simple presentation of what turns out to be a sharp estimate for the region of convergence of the relatively simple Siegel-type Eisenstein series [1] on classical groups. The argument is essentially due to Godement, reproduced for real Lie groups by Borel in AMS Proc. Symp. Pure Math. IX (The Boulder Conference 1966). The necessary small excursion into reduction theory can be extracted from Godement’s Domaines fondamentaux des groupes arithmetiques, Sem. Bourb. 257 (1962-3).
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تاریخ انتشار 2008