Divisor function: Difference between revisions

Revision as of 09:55, 28 September 2022

Revision as of 11:15, 28 September 2022

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A related bound was given by [[Jeffrey Lagarias]] in 2002, who proved that the Riemann hypothesis is equivalent to the statement that:

:<math> \sigma(n) < H_n + \log(H_n)e^{H_n}\log(H_n)</math>

for every [[natural number]] ''n'' &gt; 1, where <math>H_n</math> is the ''n''th [[harmonic number]], {{harv|Lagarias|2002}}.