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Summatory Function

For an discrete function $f(n)$, the summatory function is defined by

\begin{displaymath}
F(n)\equiv \sum_{k\in D}^n f(k),
\end{displaymath}

where $D$ is the Domain of the function.

See also Divisor Function, Mangoldt Function, Mertens Function, Rudin-Shapiro Sequence, Tau Function, Totient Function




© 1996-9 Eric W. Weisstein
1999-05-26