Lagarias’ equivalence to the Riemann hypothesis should be discussed, i.e., if(adsbygoogle = window.adsbygoogle || []).push({});

h_{n}:= n-th harmonic number := 1/1 + 1/2 + · · · + 1/n, and

σ_{n}:= divisor function of n := sum of positive divisors of n, then if n > 1,

h_{n}+ e^{hn}ln h_{n}> σ_{n}.

There is a $1,000,000 prize for the proof of this at www.claymath.org

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# Lagarias’ equivalence to the Riemann hypothesis

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