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<p>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.</p>

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Convergence of Kac–Moody Eisenstein series over a function field

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • Kyu-Hwan Lee,
  • Dongwen Liu,
  • Thomas Oliver

摘要

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.