Title: Binary quadratic forms with non-fundamental discriminants
Abstract: Let F be a primitive positive definite binary quadratic form of discriminant D, and let r_F(n) denote the number of representations of n by F up to automorphisms. Blomer and Granville (Duke Math. J., 2006) established estimates for the β-th moments of r_F(n) uniformly for fundamental discriminants |D| = o(x) for fixed non-negative real β. In this talk, we discuss the proof of these estimates and how they can be generalized to non-fundamental discriminants.