KnowraMöbius functionLinked fromLinked fromThe 11 pages that link to Möbius function, each with the reason it gives.All 11Broader topic 3Related 6Compared with 2Riemann zeta functionRelated: Its summatory behavior is linked to reciprocal values and zero-free properties of ζ(s).Riemann hypothesisRelated: The hypothesis is equivalent to a sharp bound on summatory values of this function.Euler's totient functionRelated: Möbius inversion yields φ(n) = ∑_{d|n} μ(d)n/d.Sieve theoryRelated: Its values encode inclusion–exclusion across squarefree divisors.Euler productRelated: Its Dirichlet series is the reciprocal of the zeta function in the convergence region.Multiplicative functionBroader topic: Its prime-factor definition gives a canonical example of multiplicativity.Divisor functionCompared with: It encodes square-free factorization with signs instead of counting or summing divisors.Dirichlet characterCompared with: It is multiplicative but generally not periodic, unlike Dirichlet characters.August Ferdinand MöbiusBroader topic: This number-theoretic function is named for Möbius and underlies the inversion formula.Integer sequenceRelated: Its values form an integer sequence with strong links to prime divisibility.Arithmetic functionBroader topic: Its signs encode square-free factorization and drive divisor-sum inversion.