Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Riemann zeta-function and the divisor problem IV   Let $\Delta(x)$ denote the error term in the Dirichlet divisor problem, and
$E(T)$ the error term in the asymptotic formula for the mean square of
$|\zeta(1/2+it)|$. If $E^*(t) = E(t) - 2\pi\Delta^*(t/(2\pi))$ with
$\Delta^*(x) =
  -\Delta(x) + 2\Delta(2x) - {1\over2}\Delta(4x)$, then it is proved that $$
\int_0^T|E^*(t)|^3dt \ll_\epsilon T^{3/2+\epsilon}, $$ which is (up to
`$\epsilon$' best possible) and $\zeta(1/2+it) \ll_\epsilon
t^{\rho/2+\epsilon}$ if $E^*(t) \ll_\epsilon t^{\rho+\epsilon}$.

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The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph