Conjecture for moments of second derivatives of quadratic Dirichlet L-functions
Let D(X):={d:∣d∣<X, d is a fundamental discriminant}\mathcal{D}(X):=\{d: |d|<X,\ d\text{ is a fundamental discriminant}\}D(X):={d:∣d∣<X, d is a fundamental discriminant}, and let L(s,χd)L(s,\chi_d)L(s,χd) denote the quadratic Dirichlet LLL-function associated with the fundamental discr…