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- The Möbius transform should not be confused with Möbius transformations.
In mathematics, the Möbius transform Tf of a function f defined on the positive integers is defined by
(The notation d | n means d is a divisor of n.)
This function is named in honor of August Ferdinand Möbius.
be its transform. The transforms are related by means of series: the Lambert series
and the Dirichlet series:
where is the Riemann zeta function.