Dirichlet L-functions of quadratic characters of prime conductor at the central point

We prove that more than nine percent of the central values $L(1/2,\chi_p)$ are non-zero, where $p\equiv 1 \pmod{8}$ ranges over primes and $\chi_p$ is the real primitive Dirichlet character of conductor $p$. Previously, it was not known whether a positive proportion of these central values are non-z...

Full description

Bibliographic Details
Main Authors: Baluyot, S, Pratt, K
Format: Journal article
Language:English
Published: European Mathematical Society 2021