Supersingular distribution on average for congruence classes of primes
Number Theory
2013-07-23 v1
Abstract
We demonstrate the existence of a congruence class bias in the distribution of supersingular primes on average for elliptic curves over . For example, we show that on average there are twice as many supersingular primes congruent to 2 mod 3 as there are congruent to 1 mod 3. Our result is obtained using the averaging approach of Fouvry-Murty along with ideas of David-Pappalardi.
Keywords
Cite
@article{arxiv.1307.5346,
title = {Supersingular distribution on average for congruence classes of primes},
author = {Nahid Walji},
journal= {arXiv preprint arXiv:1307.5346},
year = {2013}
}
Comments
Preprint of an old paper