Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on S(T) and the zeros of the Riemann zeta-function   Let $\pi S(t)$ denote the argument of the Riemann zeta-function at the point
$\frac12+it$. Assuming the Riemann Hypothesis, we sharpen the constant in the
best currently known bounds for $S(t)$ and for the change of $S(t)$ in
intervals. We then deduce estimates for the largest multiplicity of a zero of
the zeta-function and for the largest gap between the zeros.

26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess