Asimina S. Hamakiotes

activity

20242026

collaborators

6 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 $E_{1}$ and $E_{2}$ over $Q$ , we study the natural density of primes $p$ of good reduction for which the orders of the groups $E_{1} (F_{p})$ …

math.NT2025

Bounds for the relative class number problem for function fields

Santiago Arango-PiÃ±eros, 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 $H \leq GL_{2} (Z)$ , there is a modular curve $X_{H}$ , defined as a quotient of the full modular curve $X (N)$ , where $N$ is the l…

math.NT2024

Towards a classification of $p^{2}$ -discriminant ideal twins over number fields

Alyson Deines, Asimina S. Hamakiotes, Andreea Iorga +3

Isogenous elliptic curves have the same conductor but not necessarily the same minimal discriminant ideal. In this article, we explicitly classify all $p^{2}$ -isogenous elliptic curv…

math.NT2024

The maximal abelian extension contained in a division field of an elliptic curve over $Q$ with complex multiplication

Asimina S. Hamakiotes

Let $K$ be an imaginary quadratic field, and let $O_{K, f}$ be an order in $K$ of conductor $f \geq 1$ . Let $E$ be an elliptic curve with CM by $O_{K, f}$ , such th…

math.NT2024

Sums of Powers by L'Hopital's Rule

Eduardo DueÃ±ez, Asimina S. Hamakiotes, Steven J. Miller

For a positive integer $d$ , let $p_{d} (n) := 0^{d} + 1^{d} + 2^{d} + \dots + n^{d}$ ; i.e., $p_{d} (n)$ is the sum of the first $d^{th}$ -powers up to $n$ . It's well known that $p_{d} (n)$ …

On the Density of Coprime Reductions of Elliptic Curves

Bounds for the relative class number problem for function fields

Genus formulas for families of modular curves

Towards a classification of p2-discriminant ideal twins over number fields

The maximal abelian extension contained in a division field of an elliptic curve over Q with complex multiplication

Sums of Powers by L'Hopital's Rule

Towards a classification of $p^{2}$ -discriminant ideal twins over number fields

The maximal abelian extension contained in a division field of an elliptic curve over $Q$ with complex multiplication