%
% zetaplot.tex -- Abbildung der kritischen Geraden
%
% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
%
\documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{times}
\usepackage{txfonts}
\usepackage{pgfplots}
\usepackage{csvsimple}
\usetikzlibrary{arrows,intersections,math}
\begin{document}
\def\skala{1}
\begin{tikzpicture}[>=latex,thick,scale=\skala]

\def\dx{2}
\def\dy{2}

\draw[->] ({-1.6*\dx},0) -- ({3.4*\dx},0)
	coordinate[label={$\Re\zeta(\frac12+it)$}];
\draw[->] (0,{-2.1*\dx}) -- (0,{2.2*\dx})
	coordinate[label={left:$\Im\zeta(\frac12+it)$}];

\foreach \x in {-1,1,2,3}{
	\node at ({\x*\dx},-0.1) [below] {$\x$};
}
\node at (-0.1,{1*\dy}) [above left] {$i$};
\node at (-0.1,{2*\dy}) [left] {$2i$};
\node at (-0.1,{-1*\dy}) [below left] {$-i$};
\node at (-0.1,{-2*\dy}) [left] {$-2i$};

\foreach \x in {-1,1,2,3}{
	\draw ({\x*\dx},-0.1) -- ({\x*\dx},0.1);
}
\foreach \y in {1,2}{
	\draw (-0.1,{\y*\dy}) -- (0.1,{\y*\dy});
	\draw (-0.1,{-\y*\dy}) -- (0.1,{-\y*\dy});
}

\input{papers/zeta/images/zetapath.tex}

\draw[color=blue,line width=1pt] \zetapath;

\end{tikzpicture}
\end{document}