May 21, 2024Open Access

An explicit log-free zero density estimate for the Riemann zeta-function

Key Points

Key points are not available for this paper at this time.

Abstract

We will provide the first explicit log-free zero-density estimate for (s) of the form N (, T) AT^B (1-). In particular, this estimate becomes the sharpest known explicit zero-density estimate uniformly for ₀, 1, with 0. 985 ₀ 0. 992 and 3 10^12<T (6. 7 10^12).

Read Full Paperexternally

KI fragen

Bookmark

View Full Paper

Cite This Study

Chiara Bellotti (Tue,) studied this question.

synapsesocial.com/papers/68e69359b6db643587619d76 https://doi.org/https://doi.org/10.48550/arxiv.2405.12545

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Explicit bounds for the Riemann zeta function and a new zero-free region2024 · 7 citations
2Explicit estimates for the logarithmic derivative and the reciprocal of the Riemann zeta function2024 · 1 citations
3Explicit estimates for the Riemann zeta function close to the 1-line2024 · 3 citations
4New zero-density estimates for the Beurling $ζ$ function2024
5Large deviations of the argument of the Riemann zeta function2024 · 1 citations

KI fragen

Bookmark

View Full Paper