4 citations · 16 across the 12 of their papers we have counts for
12 papers
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 its profinite completion. We propose a profinite version of the Bateman--Horn conjecture over and provid…
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…
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…
Densities on Dedekind domains, completions and Haar measure
Luca Demangos, Ignazio Longhi
Let be the ring of -integers in a global field and its profinite completion. We discuss the relation between density in and the Haar measure of : in p…
A few remarks on a Manin-Mumford conjecture in function field arithmetic and generalized Pila-Wilkie estimates
Luca Demangos
We present here the natural extension of our Pila-Wilkie type estimates on the number of rational points of the trascendent part of a compact analytic subset of $\mathbb{F}_{q}((1/…
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…