3 papers
math.NT2026
Procounting measures and the Bateman--Horn conjecture
Luca Demangos, Ignazio Longhi, Francesco Maria Saettone
Let be the ring of -integers in a global field and $\da$ its profinite completion. We propose a profinite version of the Bateman--Horn conjecture over and provide a firs…
math.NT2024
Explicit Class Field Theory for Orders in Global Function Fields
L. Demangos, T. M. Gendron
This paper develops explicit class field theory for orders: of rank 1 in any global function field -- Hayes theory -- and of rank 2 in real quadratic function fields -- Real Multip…
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…