Sung-Min Lee

collaborators

3 papers

math.NT2026

Average twin prime conjecture for elliptic curves in arithmetic progressions

Ahmet M. Güloğlu, Asimina S. Hamakiotes, Sung Min Lee +1

In 1988, Koblitz conjectured an asymptotic formula for the number of primes $p \leq x$ for which the reduction of an elliptic curve over $Q$ has prime order. Building on th…

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.NT2023

On the average congruence class bias for cyclicity and divisibility of the groups of $F_{p}$ -points of elliptic curves

Sung Min Lee

In 2009, W. D. Banks and I. E. Shparlinski studied the average densities of primes $p \leq x$ for which the reductions of elliptic curves of small height modulo $p$ satisfy certain…

Average twin prime conjecture for elliptic curves in arithmetic progressions

On the Density of Coprime Reductions of Elliptic Curves

On the average congruence class bias for cyclicity and divisibility of the groups of Fp​-points of elliptic curves

On the average congruence class bias for cyclicity and divisibility of the groups of $F_{p}$ -points of elliptic curves