Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zero-free regions for the Riemann zeta function   We improve existing explicit bounds of Vinogradov-Korobov type for zero-free
regions of the Riemann zeta function, both for large height t and for every t.
A primary input is an explicit bound of the author (Proc. London Math. Soc. 85
(2002), 565-633) for the growth of $\zeta(\sigma+it)$ for $\sigma$ near 1.
Another ingredient is a kind of Jensen formula (Lemma 2.2) relating the growth
of a function on vertical lines to a weighted count of its zeros inside a
vertical strip. The latter was used recently in the weak subconvexity work of
Soundararajan and Thorner (arXiv:1804.03654, Duke Math. J. 168, no. 7 (2019),
1231-1268).

6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: stat
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg