Moments of zeta functions associated to hyperelliptic curves over finite fields

Michael O. Rubinstein, Kaiyu Wu

Let $q$ be an odd prime power, and $H_{d,q}$ denote the set of square-free monic polynomials $D(x)\in F_q[x]$ of degree $d$. Katz and Sarnak showed that the moments, over $H_{d,q}…