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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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Existence of Finite Amicable Groups

Suppose that $G$ and $H$ are nontrivial finite amicable groups and let $\mathscr{G}$ and $\mathscr{H}$ be the nontrivial proper subgroups of $G$ and $H$, respectively. Then $1 \subsetneq \bigoplus_{S …
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