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Definition 2024

von_Mangoldt_function

von Mangoldt function

English

Noun

von Mangoldt function ‎(plural not attested)

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