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Let [tex]H_{n}=\sum_{k=1}^{n}\frac{1}{k}[/tex] be the nth harmonic number, then the Riemann hypothesis is equivalent to proving that for each [tex]n\geq 1[/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.
[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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