The Riemann zeta function and tuning/Appendix: Difference between revisions
m copied sintel's derivation |
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</math> | </math> | ||
=== Logarithmic Series Expansion === | ==== Logarithmic Series Expansion ==== | ||
For \( |x| < 1 \), we have the well-known series: | For \( |x| < 1 \), we have the well-known series: | ||
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</math> | </math> | ||
=== von Mangoldt function === | ==== von Mangoldt function ==== | ||
The von Mangoldt function \(\Lambda(n)\) identifies prime powers: | The von Mangoldt function \(\Lambda(n)\) identifies prime powers: | ||