Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the zeros of zeta and $L$-functions   Let $\pi S(t)$ denote the argument of the Riemann zeta-function at the point
$s=\tfrac12+it$. Assuming the Riemann hypothesis, we give a new and simple
proof of the sharpest known bound for $S(t)$. We discuss a generalization of
this bound for a large class of $L$-functions including those which arise from
cuspidal automorphic representations of GL($m$) over a number field. We also
prove a number of related results including bounding the order of vanishing of
an $L$-function at the central point and bounding the height of the lowest zero
of an $L$-function.

20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph