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arXiv · 2203.08628

Convergence of Kac--Moody Eisenstein Series over a function field

Kyu-Hwan Lee·Dongwen Liu·Thomas Oliver
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Abstract

We establish everywhere convergence in a natural domain for Eisenstein series on a symmetrizable Kac--Moody group over a function field. Our method is different from that of the affine case which does not directly generalize. In comparison with the analogous result over the real numbers, everywhere convergence is achieved without any additional condition on the root system.

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Kyu-Hwan Lee, Dongwen Liu, Thomas Oliver. 2022-03-16. Convergence of Kac--Moody Eisenstein Series over a function field. https://doi.org/10.1007/s00029-025-01031-y

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