diff options
Diffstat (limited to 'buch/papers/zeta/images')
-rw-r--r-- | buch/papers/zeta/images/Makefile | 8 | ||||
-rw-r--r-- | buch/papers/zeta/images/zetaplot.m | 23 | ||||
-rw-r--r-- | buch/papers/zeta/images/zetaplot.pdf | bin | 0 -> 41448 bytes | |||
-rw-r--r-- | buch/papers/zeta/images/zetaplot.tex | 47 |
4 files changed, 78 insertions, 0 deletions
diff --git a/buch/papers/zeta/images/Makefile b/buch/papers/zeta/images/Makefile index c8deeec..d9cc20d 100644 --- a/buch/papers/zeta/images/Makefile +++ b/buch/papers/zeta/images/Makefile @@ -1,5 +1,13 @@ # # Makefile to build images # +all: primzahlfunktion2.pdf zetaplot.pdf + primzahlfunktion2.pdf: primzahlfunktion2.tex pdflatex primzahlfunktion2.tex + +zetapath.tex: zetaplot.m zeta.m + octave zetaplot.m + +zetaplot.pdf: zetaplot.tex zetapath.tex + pdflatex zetaplot.tex diff --git a/buch/papers/zeta/images/zetaplot.m b/buch/papers/zeta/images/zetaplot.m new file mode 100644 index 0000000..984b645 --- /dev/null +++ b/buch/papers/zeta/images/zetaplot.m @@ -0,0 +1,23 @@ +% +% zetaplot.m +% +% (c) 2022 Prof Dr Andreas Müller +% +s = 1; +h = 0.02; +m = 40; + +fn = fopen("zetapath.tex", "w"); +fprintf(fn, "\\def\\zetapath{\n"); +counter = 0; +for y = (0:h:m) + if (counter > 0) + fprintf(fn, "\n\t--"); + end + z = zeta(0.5 + i*y); + fprintf(fn, " ({%.4f*\\dx},{%.4f*\\dy})", real(z), imag(z)); + counter = counter + 1; +end +fprintf(fn, "\n}\n"); +fclose(fn); + diff --git a/buch/papers/zeta/images/zetaplot.pdf b/buch/papers/zeta/images/zetaplot.pdf Binary files differnew file mode 100644 index 0000000..5a59ce6 --- /dev/null +++ b/buch/papers/zeta/images/zetaplot.pdf diff --git a/buch/papers/zeta/images/zetaplot.tex b/buch/papers/zeta/images/zetaplot.tex new file mode 100644 index 0000000..1cd3259 --- /dev/null +++ b/buch/papers/zeta/images/zetaplot.tex @@ -0,0 +1,47 @@ +% +% 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{zetapath.tex} + +\draw[color=blue,line width=1pt] \zetapath; + +\end{tikzpicture} +\end{document} + |