Selberg’s sieve: study of the parameters λ
As we have seen, some parameters λd appear in the Selberg's sieve formula, which are used both in the estimation…
Multa non quia difficilia sunt non audemus sed quia non audemus sunt difficilia
Tag: Möbius function
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…
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…
Molte cose non è perché sono difficili che non osiamo farle,
ma è perché non osiamo farle che sono difficili
Many times, it is not because things are difficult that we do not dare,
but it is because we do not dare that things are difficult
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