<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\magnification=\magstep3
\hsize=19truecm
\vsize=19truecm
\nopagenumbers
\parindent=0mm
\font\eins=cmb10 scaled \magstep 3
\font\zwei=cmr12
\font\mini=cmr7
\def\frac#1#2{{{#1} \over {#2}}}
\hbox{}
\vfill

\centerline{\eins Main Result}
\bigskip\bigskip
\centerline{$\displaystyle S = {\sum\limits_{n=0}^{\infty} \frac{a(n)}{b(n)} \, \frac{p(0) \cdots p(n)}{q(0) \cdots q(n)}}$}
\bigskip
with $a(n)$, $b(n)$, $p(n)$, $q(n)$ small integers ${} = O(n^c)$
\bigskip
can be computed to $N$ digits in time
\medskip
\centerline{$O \left( {M(N) \, {(\log N)}^2} \right)
= O \left( N \, {(\log N)}^3 \, \log \log N \right)$.}

\vfill
\hbox{}
\eject

\end
</pre></body></html>