diff options
| -rw-r--r-- | buch/papers/zeta/presentation/presentation.tex | 21 |
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 |