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Can I bootstrap it instead?

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1 parent 51a8cd7 commit 3d5a05d5a96b03f1430d183b95a6c2f18b17b76c @williamstein committed Jan 4, 2013
Showing with 14 additions and 5 deletions.
  1. +14 −5 { → talk}/talk.tex
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19 talk.tex → talk/talk.tex
@@ -187,17 +187,26 @@
\vskip40pt {\Large Equivalently, putting:\begin{itemize} \item $\gamma_E(p)=0$ if $p$ is a bad or supersingular prime for $E$ and\vskip20pt \item $\gamma_E(p)= -1$ if $E$ has more than $p+1$ ${\bf F}_p$-rational points, and \vskip20pt \item $\gamma_E(p) = +1$ if less.\end{itemize}}\end{frame}
\begin{frame}
- $$\Delta_E(X): =\sum_{p\le X}\gamma_E(p).$$
+ $$\Delta_E(X): =\sum_{p\le X}\gamma_E(p)$$
+{\bf 11a:}
+{\bf 37a:}
+
+{\bf 389a:}
+{\bf 5077a:}
+
+{\bf 234446a:}
+{\bf ????a:}
\end{frame}
\begin{frame}
- More generally we might consider weighting functions $p \mapsto g_E(p)$ that have the property that } \end{frame}
+ More generally we might consider weighting functions $p \mapsto g_E(p)$ that have the property that:
-\begin{frame}\vskip20pt
-{\Large \vskip40pt
-\begin{itemize} \item for all primes $p$, $g_E(p)$ is an {\it odd} function of the value $a_E(p)$, and \vskip20pt \item the {\it sum\ of\ local\ data} $$\delta_E(X):=\sum_{p\le X}g_E(p)$$ has---or can be convincingly conjectured to have---a finite {\it mean}.\end{itemize}}\end{frame}
+ \begin{itemize} \item for all primes $p$, $g_E(p)$ is an {\it odd} function of the value $a_E(p)$, and \vskip20pt \item the {\it sum\ of\ local\ data} $$\delta_E(X):=\sum_{p\le X}g_E(p)$$ has---or can be convincingly conjectured to have---a finite {\it mean}.
+ \end{itemize}
+
+\end{frame}
%\end{document}
\begin{frame}\vskip20pt
{\Large \vskip40pt

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