In this paper, we discuss an approach which determines the residues of certain families of Eisenstein series in terms of periods on the cuspidal data. By contrast, the traditional approach is to determine the residues of Eisenstein series in terms of certain L-functions attached to the cuspidal data. The relation between these two methods is the general conjecture which relates periods on the cuspidal data to the existence of poles or the special values of L-functions attached to the cuspidal data.
|Original language||English (US)|
|Title of host publication||Progress in Mathematics|
|Number of pages||18|
|State||Published - 2008|
|Name||Progress in Mathematics|
Bibliographical noteFunding Information:
This is an extended version of my lectures at the Workshop on Eisenstein Series at The American Institute of Mathematics in August, 2006. I would like to thank the organizers Wee Teck Gan, Steve Kudla and Yuri Tschinkel for the invitation and thank the AIM for hospitality. The work is also supported in part by NSF DMS-0400414.
© 2008, Springer Basel. All rights reserved.