## 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

As we have seen, some parameters λd appear in the Selberg's sieve formula, which are used both in the estimation…

In number theory, many proofs are "technical", i.e. they consist mainly in algebrical passages, by means of which an initial…

In the post Some important summations we introduced the summations extended to couples of variables the product of which divides…

The properties of the divisors of natural numbers which we saw in the previous post let us define a function…

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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