von Mangoldt function

Meaning

Proper Noun

A certain arithmetic function that is neither multiplicative nor additive. It is denoted by Λ(n) and defined as : $\Lambda(n) = \begin{cases} \log p & \mbox{if }n=p^k \mbox{ for some prime } p \mbox{ and integer } k \ge 1, \\ 0 & \mbox{otherwise.} \end{cases}$

Origin

Named after the German mathematician Hans von Mangoldt.

Modern English dictionary

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