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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 for which the reduction of an elliptic curve over 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 and over , we study the natural density of primes of good reduction for which the orders of the groups …