Sam Bloom

collaborators

2 papers

math.NT2018

Almost prime values of the order of abelian varieties over finite fields

Samuel Bloom

Let $E / Q$ be an elliptic curve, and denote by $N (p)$ the number of $F_{p}$ -points of the reduction modulo $p$ of $E$ . A conjecture of Koblitz, refined by Zywina, sta…

math.NT2017

The Square Sieve and a Lang-Trotter Question for Generic Abelian Varieties

Samuel Bloom

Let $A$ be a $g$ -dimensional abelian variety over $Q$ whose adelic Galois representation has open image in $GSp_{2 g} Z$ . We investigate the endom…