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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.

6 votes

Density of $d$ for which a generalized Pell equation has a solution

Recently Koymans and Pagano have established an asymptotic formula in this setting: $n$ a prime with $n$ congruent to $3$ modulo $4$, within the family of $d$ where $n$ ramifies in $\mathbb{Q}(\sqrt{d …
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