Mu badness: Difference between revisions

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== Weighted mu ==
== Weighted mu ==
In order to more or less strongly favor lower primes, one can generalize the weighting factor 1/''k''<sup>2</sup> to 1/''k''<sup>''s''</sup>, where ''s'' is a number greater than 1. Note that this requires many more iterations to reasonably converge on a value the closer ''s'' is to 1.
In order to more or less strongly favor lower primes, one can generalize the weighting factor 1/''k''<sup>2</sup> to 1/''k''<sup>''σ''</sup>, where ''σ'' is a number greater than 1. Note that this requires many more iterations to reasonably converge on a value the closer ''σ'' is to 1.


== Alternative relative error function ==
If the cosine function is used as the relative error function as opposed to the zigzag, the result is the real part of the [[zeta]] function at s = σ+ix.
[[Category:Badness]]
[[Category:Badness]]