Titel: Estimates for the number of representations of binary quadratic forms
Abstract:
Given a positive definite binary quadratic form g, we study the number of representations of an integer n by g, denoted rn(g).
In particular, we generalize an estimate of Blomer and Granville for the quantity ∑ n≤xrg(n)β with β a positive integer, to the case where g has a non fundamental discriminant. To do this, we study the non-maximal orders of imaginary quadratic number fields, and associated L-series.