The Riemann zeta function and tuning/Vector's derivation: Difference between revisions
No edit summary |
No edit summary |
||
| Line 1: | Line 1: | ||
We start with the generalized mu function: | We start with the generalized mu function, which sums up the relative error on all integer harmonics weighted by an inverse power of the harmonic: | ||
<nowiki>$$ \mu \left(\sigma, x \right) = \sum_{k=1}^{\infty} \frac{\operatorname{abs} \left( \operatorname{mod} \left( 2\log_{2} \left( k \right) x, 2 \right) - 1 \right)}{k^{\sigma}} $$</nowiki> | <nowiki>$$ \mu \left(\sigma, x \right) = \sum_{k=1}^{\infty} \frac{\operatorname{abs} \left( \operatorname{mod} \left( 2\log_{2} \left( k \right) x, 2 \right) - 1 \right)}{k^{\sigma}} $$</nowiki> | ||