Some new density theorems for Dirichlet $L$-functions
Volume 118 / 2019
Banach Center Publications 118 (2019), 231-244
MSC: Primary 11N05, 11N36; Secondary 11N35.
DOI: 10.4064/bc118-14
Abstract
We prove some new log-free density theorems for zeros of Dirichlet L-functions (which accordingly are more sharp than earlier ones near to the boundary line of the critical strip). The results can be applied in several problems of prime number theory.
