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Results tagged with factorization
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user 104330
For questions about factorization, the decomposition of mathematical objects (e.g. natural numbers, polynomials) into products of smaller objects (e.g. primes, lower degree polynomials).
9
votes
Accepted
Density of numbers with multiple factors near square root
Even one such factor gives you zero density. Indeed, if $d \mid n$, $\alpha \sqrt{n} \le d \le \beta \sqrt{n}$ then $\frac{1}{\beta}\sqrt{n} \le \frac{n}{d} \le \frac{1}{\alpha}\sqrt{n}$ therefore $n$ …
- 6,476
1
vote
A doubt regarding the extended form of the Weierstrass factorization theorem
Although Iosif Pinelis already gave a slick answer, let me indicate an approach based on a more general theory of entire functions, though I will omit some details to not turn this answer into a liter …
- 6,476