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Dirichlet convolution
(section)
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==Related concepts== The restriction of the divisors in the convolution to [[Unitary divisor|unitary]], [[Bi-unitary divisor|bi-unitary]] or infinitary divisors defines similar commutative operations which share many features with the Dirichlet convolution (existence of a Möbius inversion, persistence of multiplicativity, definitions of totients, Euler-type product formulas over associated primes, etc.). Dirichlet convolution is a special case of the convolution multiplication for the [[incidence algebra]] of a [[Partially ordered set|poset]], in this case the poset of positive integers ordered by divisibility. The [[Dirichlet hyperbola method]] computes the summation of a convolution in terms of its functions and their summation functions.
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