In this article, we obtain an explicit version of Heath-Brown's large sieve inequality for quadratic characters and discuss its applications to $L$-functions and quadratic fields.
On Quadratic Fields Generated by Discriminants of Irreducible Trinomials
Mean values of divisors twisted by quadratic characters
The distribution of $H_{8}$-extensions of quadratic fields
![QR code for arXiv:2505.09637 [math.NT]](http://oss.arxitics.com/images/favicon.svg)