Equivalent forms of the Riemann hypothesis
- Let be the nth harmonic number, i.e. . Then, the Riemann hypothesis is true if and only if
- Define the Redheffer matrix to be the 0-1 matrix with entries (and 0 otherwise). Then the Riemann hypothesis is true if and only if for all .
For fun: claimed [dis/]proofs.
Quote found via rjlipton:
The Riemann Hypothesis is the most basic connection between addition and multiplication that there is, so I think of it in the simplest terms as something really basic that we don’t understand about the link between addition and multiplication.