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Quantum Drinfeld modules and ray class fields of real quadratic global function fields

  • L. Demangos
  • , T. M. Gendron*
  • *Corresponding author for this work
    • Universidad Nacional Autónoma de México

    Research output: Contribution to journalArticlepeer-review

    Abstract

    This is the second in a series of two papers presenting a solution to Hilbert’s 12th problem for real quadratic function fields in positive characteristic, in the sense of proving an analog of the Theorem of Weber-Fueter. We also offer a conjectural treatment of the number field case using quasicrystal counterparts (Gendron et al. in Théorie Quasi-cristalline des Nombres: Recherche d’une Théorie de Drinfeld-Hayes en Caractéristique Zéro. arXiv: 1912.12323) of the constructions used in function fields.

    Original languageEnglish
    Article number32
    JournalResearch in Mathematical Sciences
    Volume12
    Issue number2
    DOIs
    Publication statusPublished - Jun 2025

    Keywords

    • Function field arithmetic
    • Quantum Drinfeld module
    • Ray class field

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