# An Elementary Problem Equivalent to the Riemann Hypothesis

```@article{Lagarias2002AnEP,
title={An Elementary Problem Equivalent to the Riemann Hypothesis},
author={Jeffrey C. Lagarias},
journal={The American Mathematical Monthly},
year={2002},
volume={109},
pages={534 - 543}
}```
• J. Lagarias
• Published 22 August 2000
• Mathematics
• The American Mathematical Monthly
The function a (n) = dInd is the sum-of-divisors function, so for example a (6) = 12. The number Hn is called the nth harmonic number by Knuth, Graham, and Patashnik [12, sect. 6.3], who detail various properties of harmonic numbers. The 'E' in Problem E might stand for either 'easy' or 'elementary'. Perhaps 'H' for 'hard' would be a better letter to use, since our object is to show the following equivalence.
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