$
\newcommand{\Re}{\mathrm{Re}\,}
\newcommand{\pFq}[5]{{}_{#1}\mathrm{F}_{#2} \left( \genfrac{}{}{0pt}{}{#3}{#4} \bigg| {#5} \right)}
$
[math]
\begin{align}
W_n (s)
&:=
\int_{[0, 1]^n}
\left| \sum_{k = 1}^n \mathrm{e}^{2 \pi \mathrm{i} \, x_k} \right|^s \mathrm{d}\boldsymbol{x}
\end{align}
[/math]
[math]
\begin{align}
$
\newcommand{\Re}{\mathrm{Re}\,}
\newcommand{\pFq}[5]{{}_{#1}\mathrm{F}_{#2} \left( \genfrac{}{}{0pt}{}{#3}{#4} \bigg| {#5} \right)}
$
W_3(k) &= \Re \, \pFq32{\frac12, -\frac k2, -\frac k2}{1, 1}{4}
\end{align}
[/math]
\pFq32{\frac12, -\frac k2, -\frac k2}{1, 1}{4}.
W_3(k) &= \mathrm{Re} \, {}_{3}\mathrm{F}_{2}\left(\genfrac{}{}{0pt}{\frac{1}{2},-\frac{k}{2},-\frac{k}{2}}{\Pi}\right