Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A zero density result for the Riemann zeta function   In this article, we prove an explicit bound for $N(\sigma,T)$, the number of
zeros of the Riemann zeta function satisfying $\sigma < \Re s <1 $ and $0 < \Im
s < T$. This result provides a significant improvement over Rosser's bound for
$N(T)$ when used for estimating prime counting functions. For instance this is
applied to obtain new bounds for $\psi(x)$ (arXiv:1310.6374).

31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex