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Questions about the famous conjecture from Riemann saying that the non-trivial zeroes of the Riemann Zeta function all lie on the so-called critical line $\Re(s)=\dfrac{1}{2}$, its various generalizations and the different approaches towards its solution.

4 votes

Statements going against the grain of Riemann Hypothesis (R.H.)

If you have $M(N) > N^{0.99}$ for infinitely many $N$ then this means there is a an exceptional zero with real part $\geq 0.99$, that therefore invalidates RH. As to the order of growth of $M(x)$ a …
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