Two lemmas with the Möbius function and the logarithm
In number theory, many proofs are "technical", i.e. they consist mainly in algebrical passages, by means of which an initial…
After almost three centuries, will we find a proof?
Tag: Möbius function
The Möbius inversion formula
In the post Some important summations we introduced the summations extended to couples of variables the product of which divides…
The Möbius function and its connection with the function Λ
The properties of the divisors of natural numbers which we saw in the previous post let us define a function…
Two properties of the divisors of natural numbers
In this post we'll illustrate two properties of the divisors of natural numbers, starting from the simplest case, in which…
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