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Results tagged with analytic-number-theory
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user 342938
On the blending of real/complex analysis with number theory. The study involves distribution of prime numbers and other problems and helps giving asymptotic estimates to these.
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Numbers without prime factors in a set of positive relative density
Let $\mathcal{P}$ be a set of prime numbers of relative density $\kappa \in (0, 1)$, which means that
$$\#\left(\mathcal{P} \cap [1, x]\right) = \kappa \,\pi(x) + E(x) \quad (x \to \infty)$$
for a "su …
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