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Abstract
Let
G
be an infinite-dimensional representation-theoretic Kac–Moody group associated to a
nonsingular symmetrizable generalized Cartan matrix. We consider Eisenstein series on
G induced from unramified
cusp forms on finite-dimensional Levi subgroups of maximal parabolic subgroups. Under a natural condition
on maximal parabolic subgroups, we prove the cuspidal Eisenstein series are entire on the full complex plane.
Keywords
Eisenstein series, Kac–Moody groups, entirety
Mathematical Subject Classification
Primary: 11F70, 20G44
Milestones
Received: 26 August 2020
Revised: 8 May 2021
Accepted: 25 August 2021
Published: 16 August 2022