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The 12 pages that link to Multiplicative function, each with the reason it gives.

• Euler's totient functionNarrower topic: This property explains why totients of coprime factors multiply.

• Sieve theoryNarrower topic: Sieve densities often factor into local contributions at individual primes.

• Dirichlet L-functionRelated: Character multiplicativity is what permits the prime-indexed Euler product.

• Dirichlet seriesRelated: Multiplicative coefficients often produce especially structured Dirichlet series.

• Euler productNarrower topic: Multiplicative coefficients allow a Dirichlet series to split into prime-indexed factors.

• Divisor functionNarrower topic: Divisor functions are multiplicative, so their values factor across distinct prime powers.

• Möbius functionNarrower topic: The Möbius function is multiplicative, so its values follow from prime-power values.

• Dirichlet characterNarrower topic: Complete multiplicativity makes a Dirichlet character a particularly structured arithmetic function.

• Arithmetic functionBroader topic: This important subclass turns coprime factorizations into products of function values.

• Aliquot sequenceNarrower topic: The divisor-sum function’s multiplicativity helps compute aliquot sums from prime factorizations.

• Highly composite numberNarrower topic: The divisor-counting function is multiplicative, making prime-power contributions independent.

• Aliquot sumRelated: The sum-of-divisors function is multiplicative, enabling calculations from prime powers.