We establish an analogue of a conjecture of Balasubramanian, Conrey, and Heath-Brown for the family of all Dirichlet characters with conductor up to Q. This forms another application of our work in developing an asymptotic large sieve.
|Functiones et Approximatio, Commentarii Mathematici
|E-pub ahead of print - 26 Oct 2019
- Dirichlet L-functions
- asymptotic large sieve