2 papers
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…
math.NT2016
Waring-Goldbach Problem with Piatetski-Shapiro Primes
Yildirim Akbal, Ahmet Muhtar Guloglu
In this paper, we exhibit an asymptotic formula for the number of representations of a large integer as a sum of a fixed power of Piatetski-Shapiro primes, thereby establishing a v…