Residues of Eisenstein series and related problems

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Abstract

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 languageEnglish (US)
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Pages187-204
Number of pages18
DOIs
StatePublished - Jan 1 2008

Publication series

NameProgress in Mathematics
Volume258
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X

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