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28 lines
644 B
28 lines
644 B
\magnification=\magstep3
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\hsize=19truecm
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\vsize=19truecm
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\nopagenumbers
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\parindent=0mm
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\font\eins=cmb10 scaled \magstep 3
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\font\zwei=cmr12
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\font\mini=cmr7
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\def\frac#1#2{{{#1} \over {#2}}}
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\hbox{}
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\vfill
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\centerline{\eins Main Result}
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\bigskip\bigskip
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\centerline{$\displaystyle S = {\sum\limits_{n=0}^{\infty} \frac{a(n)}{b(n)} \, \frac{p(0) \cdots p(n)}{q(0) \cdots q(n)}}$}
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\bigskip
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with $a(n)$, $b(n)$, $p(n)$, $q(n)$ small integers ${} = O(n^c)$
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\bigskip
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can be computed to $N$ digits in time
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\medskip
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\centerline{$O \left( {M(N) \, {(\log N)}^2} \right)
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= O \left( N \, {(\log N)}^3 \, \log \log N \right)$.}
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\vfill
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\hbox{}
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\eject
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\end
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