Abstract
Abstract
We use the Weyl bound for Dirichlet L-functions to derive zero-density estimates for L-functions associated to families of fixed-order Dirichlet characters. The results improve on previous bounds given by the author when
$\sigma $
is sufficiently distant from the critical line.
Publisher
Cambridge University Press (CUP)
Reference20 articles.
1. Mean values with cubic characters;Baier;J. Number Theory,2010
2. [5] Corrigan, C. C. , On the Distribution of Zeros for Families of Dirichlet $L$ -Functions, Honours Thesis (The University of New South Wales, Sydney, 2022).
3. Average Bateman–Horn for Kummer polynomials;Balestrieri;Acta Arith.,2023
4. On mean values of
$L$
-functions and short character sums with real characters;Jutila;Acta Arith.,1975
5. Mean square values of Dirichlet
$L$
-functions associated to fixed-order characters;Corrigan;J. Number Theory,2024