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sigma(n)/nloglog n, Gronwall, 1912

Posted: Fri Oct 19, 2007 11:33 am
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.