Abstract
Let be an infinite-dimensional representation-theoretic Kac–Moody group associated to a nonsingular symmetrizable generalized Cartan matrix. We consider Eisenstein series on 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.
Citation
Lisa Carbone. Kyu-Hwan Lee. Dongwen Liu. "Entirety of certain cuspidal Eisenstein series on Kac–Moody groups." Algebra Number Theory 16 (5) 1099 - 1119, 2022. https://doi.org/10.2140/ant.2022.16.1099
Information