Von Mangoldt Function - Mathematics & Logic - Pure Mathematics Dictionary Definition Arithmetic function Λ(n) defined by Λ(n)=log p if n is a positive integer equal to p^k for some prime p and integer k≥1, and Λ(n)=0 otherwise; used to weight prime powers in explicit formulas.
Von Mangoldt Function - Mathematics & Logic - Pure Mathematics Dictionary Definition Arithmetic function Λ(n) defined by Λ(n)=log p if n is a positive integer equal to p^k for some prime p and integer k≥1, and Λ(n)=0 otherwise; used to weight prime powers in explicit formulas.