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 for which the reduction of an elliptic curve over has prime order. Building on th…
math.NT2023
Mollified Moments of Cubic Dirichlet L-Functions over the Eisenstein Field
Ahmet M. Güloğlu, Hamza Yesilyurt
We prove, assuming the generalized Riemann Hypothesis (GRH) that there is a positive density of -functions associated with primitive cubic Dirichlet characters over the Eisenste…
math.NT2019
Cyclicity of Elliptic Curves Modulo Primes in arithmetic progressions
Yildirim Akbal, Ahmet Muhtar Guloglu
We consider the reduction of an elliptic curve defined over the rational numbers modulo primes in a given arithmetic progression and investigate how often the subgroup of rational…