Turkish Journal of Mathematics
Abstract
In this paper, we estimate the density of zeros of primitive Dirichlet $L$-functions in the half-plane $\Re (s)>1/2$, under the assumption of a plausible conjecture on high moments of Dirichlet $L$-functions on the critical line. We conditionally improve the results of Huxley [9], Jutila [13], Heath-Brown [5, 6] and Bourgain [1].
DOI
10.3906/mat-2104-29
Keywords
Dirichlet $L$-functions, Riemann zeta-function, zero density estimate
First Page
2050
Last Page
2072
Recommended Citation
SONO, KEIJU
(2021)
"Moments and zero density estimates for Dirichlet $L$-functions,"
Turkish Journal of Mathematics: Vol. 45:
No.
5, Article 12.
https://doi.org/10.3906/mat-2104-29
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss5/12
