3 papers
math.NT2026
On the Density of Coprime Reductions of Elliptic Curves
Asimina S. Hamakiotes, Sung Min Lee, Jacob Mayle +1
Given non-CM elliptic curves and over , we study the natural density of primes of good reduction for which the orders of the groups …
math.NT2025
Bounds for the relative class number problem for function fields
Santiago Arango-Piñeros, MarÃa Chara, Asimina S. Hamakiotes +2
We establish bounds on a finite separable extension of function fields in terms of the relative class number, thus reducing the problem of classifying extensions with a fixed relat…
math.NT2025
Genus formulas for families of modular curves
Asimina S. Hamakiotes, Jun Bo Lau
For each open subgroup , there is a modular curve , defined as a quotient of the full modular curve , where is the l…