Generalizes Nagao conjecture to hyperelliptic curves, computes moments to obtain Jacobian rank 4g+2 over Q(T), and proves second-moment bias for some families.
Sutherland, Computing L-functions of hyperelliptic curves, Presented at ICTP Workshop on the Arithmetic of Hyperelliptic curves
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Rank and Bias in Families of Hyperelliptic Curves via Nagao's Conjecture
Generalizes Nagao conjecture to hyperelliptic curves, computes moments to obtain Jacobian rank 4g+2 over Q(T), and proves second-moment bias for some families.