sigma(n)/nloglog n, Gronwall, 1912

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Cezar Lupu
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sigma(n)/nloglog n, Gronwall, 1912

Post by Cezar Lupu »

Sa se arate ca \( \limsup_{n\to\infty}\frac{\sigma(n)}{n\log\log n}=e^{\gamma} \), unde \( \sigma(n)=\sum_{d/n}d \) este functia "sum-divisor".


Gronwall, 1912.
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
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