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 $p\le x$ for which the reduction of an elliptic curve over $\mathbb{Q}$ has prime order. Building on th…