In mathematics, the Dirichlet convolution is a binary operation defined for arithmetic functions;
it is important in number theory. It was developed by Peter Gustav Lejeune Dirichlet.
The restriction of the divisors in the convolution to unitary, bi-unitary or
infinitary divisors defines similar commutative operations which share many features with the Dirichlet convolution
(existence of a Mรถbius inversion, persistence of multiplicativity, definitions of totients,
Euler-type product formulas over associated primes, etc.).
Dirichlet convolution is the convolution of the incidence algebra for the positive integers ordered by divisibility.
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