Bounds for the distribution of the Frobenius traces associated to a generic abelian variety

Alina Carmen Cojocaru, Tian Wang

Let $A$ be an abelian variety defined over $\mathbb{Q}$ and of dimension $g$. Assume that, for each sufficiently large prime $\ell$, $A$ has a surjective residual modulo $\ell$ Gal…