Lower-Order Biases Second Moments of Dirichlet Coefficients in Families of $L$-Functions

Megumi Asada, Ryan Chen, Eva Fourakis +9

Let $\mathcal{E}:y^2=x^3+A(T)x+B(T)$ be a nontrivial one-parameter family of elliptic curves over $\mathbb{Q}(T)$, with $A(T),B(T)\in \mathbb{Z}(T)$, and consider the $k$\te…