Let [tex]H_{n}=\sum_{k=1}^{n}\frac{1}{k}[/tex] be the n(adsbygoogle = window.adsbygoogle || []).push({}); ^{th}harmonic number, then the Riemann hypothesis is equivalent to proving that for each [tex]n\geq 1[/tex],

[tex]\sum_{d|n}d\leq H_{n}+\mbox{exp}(H_{n})\log H_{n}[/tex]

where equality holds iff n=1. The paper that this came from is here: An Elementary Problem Equivalent to the Riemann Hypothesis by Jeffrey C. Lagarias.

No questions, just thought it would be appreciated.

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# An elementary problem equivalent to the Riemann hypothesis

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