Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evaluation of some second moment and other integrals for the Riemann,
  Hurwitz, and Lerch zeta functions   Several second moment and other integral evaluations for the Riemann zeta
function $\zeta(s)$, Hurwitz zeta function $\zeta(s,a)$, and Lerch zeta
function $\Phi(z,s,a)$ are presented. Additional corollaries that are obtained
include previously known special cases for the Riemann zeta function
$\zeta(s)=\zeta(s,1)=\Phi(1,s,1)$. An example special case is: $$\int_R
{{|\zeta(1/2+it)|^2} \over {t^2+1/4}}dt=2\pi[\ln(2\pi)-\gamma],$$ with $\gamma$
the Euler constant. The asymptotic forms of certain fractional part integrals,
with and without logarithmic factors in the integrand, are presented.
Extensions and other approaches are mentioned.

1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat