Convergence of Kac–Moody Eisenstein series over a function field

• Kyu-Hwan Lee ^[1] ; Dongwen Liu ^[2] ; Thomas Oliver ^[3]
  1. [1] University of Connecticut

     University of Connecticut

     Town of Mansfield, Estados Unidos

     
  2. [2] Zhejiang University

     Zhejiang University

     China

     
  3. [3] University of Westminster

     University of Westminster

     Reino Unido

     

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 31, Nº. 2, 2025
• Idioma: inglés
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• Resumen

  • 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.