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-rw-r--r--buch/papers/zeta/presentation/presentation.tex21
1 files changed, 13 insertions, 8 deletions
diff --git a/buch/papers/zeta/presentation/presentation.tex b/buch/papers/zeta/presentation/presentation.tex
index be3e12c..e106089 100644
--- a/buch/papers/zeta/presentation/presentation.tex
+++ b/buch/papers/zeta/presentation/presentation.tex
@@ -109,10 +109,10 @@
\end{frame}
%Inhaltsverzeichnis
- \begin{frame}
- \frametitle{Inhalt}
- \tableofcontents
- \end{frame}
+% \begin{frame}
+% \frametitle{Inhalt}
+% \tableofcontents
+% \end{frame}
\section{Motivation}
@@ -187,14 +187,18 @@
\begin{align}
\zeta(s)
&=
+ \RD{
\sum_{n=1}^{\infty}
\frac{1}{n^s} \label{zeta:align1}
+ }
\\
\frac{1}{2^{s-1}}
\zeta(s)
&=
+ \BL{
\sum_{n=1}^{\infty}
\frac{2}{(2n)^s} \label{zeta:align2}
+ }
\end{align}
\pause
\eqref{zeta:align1} - \eqref{zeta:align2}:
@@ -202,10 +206,10 @@
\left(1 - \frac{1}{2^{s-1}} \right)
\zeta(s)
&=
- \frac{1}{1^s}
- \underbrace{-\frac{2}{2^s} + \frac{1}{2^s}}_{-\frac{1}{2^s}}
- + \frac{1}{3^s}
- \underbrace{-\frac{2}{4^s} + \frac{1}{4^s}}_{-\frac{1}{4^s}}
+ \RD{\frac{1}{1^s}}
+ \underbrace{-\BL{\frac{2}{2^s}} + \RD{\frac{1}{2^s}}}_{-\frac{1}{2^s}}
+ + \RD{\frac{1}{3^s}}
+ \underbrace{-\BL{\frac{2}{4^s}} + \RD{\frac{1}{4^s}}}_{-\frac{1}{4^s}}
\ldots
\\
&= \eta(s)
@@ -308,6 +312,7 @@
+
\ldots
\right)
+ \ldots
\\
=
1