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math.NT2024
Quantum Drinfeld Modules and Ray Class Fields of Real Quadratic Global Function Fields
L. Demangos, T. M. Gendron
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…
math.NT2024
Théorie Quasicristalline des Nombres: Recherche d'une Théorie de Drinfeld-Hayes en Charactéristique Zéro
T. M. Gendron, Eric Leichtnam, Pierre Lochak
This article develops the structure necessary for the formulation of a version of Drinfeld-Hayes theory in characteristic zero, using the arithmetic of quasicrystal rings attached…