1 citations · 1 across the 4 of their papers we have counts for
4 papers
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 for which the reduction of an elliptic curve over has prime order. Building on th…
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 …
On the average congruence class bias for cyclicity and divisibility of the groups of -points of elliptic curves
Sung Min Lee
In 2009, W. D. Banks and I. E. Shparlinski studied the average densities of primes for which the reductions of elliptic curves of small height modulo satisfy certain…
On the acyclicity of reductions of elliptic curves modulo primes in arithmetic progressions
Nathan Jones, Sung Min Lee
Let be an elliptic curve defined over and, for a prime of good reduction for let denote the reduction of modulo . Inspired by an ellip…