arXiv subjects

Yildirim Akbal

Publications and source records attributed to Yildirim Akbal.

2 recordsLinked to original sources

arXiv2020

Cyclicity of Elliptic Curves Modulo Primes in arithmetic progressions

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 points of this reduced curve is cyclic as a special case of Serre's Cyclicity Conjecture.

math.NT↗

arXiv2017

Waring-Goldbach Problem with Piatetski-Shapiro Primes

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 variant of Waring-Goldbach problem with primes from a sparse sequence.

math.NT↗