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Turkish Journal of Mathematics

Authors

KEIJU SONO

DOI

10.3906/mat-2104-29

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].

First Page

2050

Last Page

2072

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