1 \magnification=\magstep3
6 \font\eins=cmb10 scaled \magstep 3
9 \def\frac#1#2{{{#1} \over {#2}}}
13 \centerline{\eins Main Result}
15 \centerline{$\displaystyle S = {\sum\limits_{n=0}^{\infty} \frac{a(n)}{b(n)} \, \frac{p(0) \cdots p(n)}{q(0) \cdots q(n)}}$}
17 with $a(n)$, $b(n)$, $p(n)$, $q(n)$ small integers ${} = O(n^c)$
19 can be computed to $N$ digits in time
21 \centerline{$O \left( {M(N) \, {(\log N)}^2} \right)
22 = O \left( N \, {(\log N)}^3 \, \log \log N \right)$.}