Divisor function

Apr 21, 2026 - 15:40

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Growth rate: How could we miss this one? It is also in Grönwall's paper!

← Previous revision		Revision as of 10:08, 21 April 2026
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	: $\lim_{n\to\infty}\frac{1}{\log n}\prod_{p\le n}\frac{p}{p-1}=e^\gamma,$		: $\lim_{n\to\infty}\frac{1}{\log n}\prod_{p\le n}\frac{p}{p-1}=e^\gamma,$

	where ''p'' denotes a prime.		where ''p'' denotes a prime. Grönwall also showed that
			:
			\limsup_{n\rightarrow\infty}\frac{\sigma_a(n)}{n^a}=\zeta(a),\quad\a>1,

			where $\zeta$ is the [[Riemann zeta function]].

	In 1915, Ramanujan proved that under the assumption of the [[Riemann hypothesis]], Robin's inequality		In 1915, Ramanujan proved that under the assumption of the [[Riemann hypothesis]], Robin's inequality