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\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2]
\tikzstyle{zero} = [draw, circle, inner sep =0, minimum height=0.15cm]
\tikzset{pole/.style={cross out, draw=black, minimum size=(0.15cm-\pgflinewidth), inner sep=0pt, outer sep=0pt}}
\begin{scope}[xscale=0.5]
\draw[gray, ->] (0,-2) -- (0,2) node[anchor=south]{$\mathrm{Im}~z_1$};
\draw[gray, ->] (-10,0) -- (10,0) node[anchor=west]{$\mathrm{Re}~z_1$};
\begin{scope}
\draw[>->, line width=0.05, thick, blue] (2, 1.5) -- (2,0.05) -- node[anchor=south, pos=0.5]{$N=1$} (0.1,0.05) -- (0.1,1.5);
\draw[>->, line width=0.05, thick, orange] (4, 1.5) -- (4,0) -- node[anchor=south, pos=0.25]{$N=2$} (0,0) -- (0,1.5);
\draw[>->, line width=0.05, thick, red] (6, 1.5) node[anchor=north west]{$-\infty$} -- (6,-0.05) node[anchor=west]{$-1$} -- node[anchor=north]{$0$} node[anchor=south, pos=0.1666]{$N=3$} (-0.1,-0.05) node[anchor=east]{$1$} -- (-0.1,1.5) node[anchor=north east]{$\infty$};
\node[zero] at (-7,0) {};
\node[zero] at (-5,0) {};
\node[zero] at (-3,0) {};
\node[zero] at (-1,0) {};
\node[zero] at (1,0) {};
\node[zero] at (3,0) {};
\node[zero] at (5,0) {};
\node[zero] at (7,0) {};
\end{scope}
\node[gray, anchor=north] at (-8,0) {$-4\pi$};
\node[gray, anchor=north] at (-6,0) {$-3\pi$};
\node[gray, anchor=north] at (-4,0) {$-2\pi$};
\node[gray, anchor=north] at (-2,0) {$-\pi$};
\node[gray, anchor=north] at (2,0) {$\pi$};
\node[gray, anchor=north] at (4,0) {$2\pi$};
\node[gray, anchor=north] at (6,0) {$3\pi$};
\node[gray, anchor=north] at (8,0) {$4\pi$};
\node[gray, anchor=east] at (0,-1.5) {$-\infty$};
\node[gray, anchor=east] at (0, 1.5) {$\infty$};
\end{scope}
\end{tikzpicture}
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