4 citations · 16 across the 17 of their papers we have counts for
17 papers
Modular Invariant of Rank 1 Drinfeld Modules and Class Field Generation
L. Demangos, T. M. Gendron
The modular invariant of rank 1 Drinfeld modules is introduced and used to formulate and prove an exact analog of the Weber-Fueter theorem for global function fields. The main ingr…
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…
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…
Quantum Drinfeld Modules I: Quantum Modular Invariant and Hilbert Class Fields
L. Demangos, T. M. Gendron
This is the first of a series of two papers in which we present a solution to Manin's Real Multiplication program -- an approach to Hilbert's 12th problem for real quadratic extens…
The Arithmetic of Diophantine Approximation Groups II: Mahler Arithmetic
T. M. Gendron
This is the second paper in a series of two in which a global algebraic number theory of the reals is formulated with the purpose of providing a unified setting for algebraic and t…
Quantum -Invariant in Positive Characteristic II: Formulas and Values at the Quadratics
L. Demangos, T. M. Gendron
The multi-valued quantum -invariant in positive characteristic is studied at quadratic elements. For every quadratic , an explicit expression for each of the values of $j^{\r…