The Riemann zeta function and tuning: Difference between revisions
Wikispaces>genewardsmith **Imported revision 250508378 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 250519116 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-03 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-03 15:21:25 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>250519116</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
| Line 127: | Line 127: | ||
[[math]] | [[math]] | ||
1 + \frac{1}{p} - \frac{2 \cos(\ln p\ t)}{\sqrt{p}} | \sqrt{1 + \frac{1}{p} - \frac{2 \cos(\ln p\ t)}{\sqrt{p}}} | ||
[[math]] | [[math]] | ||
| Line 284: | Line 284: | ||
<!-- ws:start:WikiTextMathRule:12: | <!-- ws:start:WikiTextMathRule:12: | ||
[[math]]&lt;br/&gt; | [[math]]&lt;br/&gt; | ||
1 + \frac{1}{p} - \frac{2 \cos(\ln p\ t)}{\sqrt{p}}&lt;br/&gt;[[math]] | \sqrt{1 + \frac{1}{p} - \frac{2 \cos(\ln p\ t)}{\sqrt{p}}}&lt;br/&gt;[[math]] | ||
--><script type="math/tex">1 + \frac{1}{p} - \frac{2 \cos(\ln p\ t)}{\sqrt{p}}</script><!-- ws:end:WikiTextMathRule:12 --><br /> | --><script type="math/tex">\sqrt{1 + \frac{1}{p} - \frac{2 \cos(\ln p\ t)}{\sqrt{p}}}</script><!-- ws:end:WikiTextMathRule:12 --><br /> | ||
<br /> | <br /> | ||
Multiplying the Z-function by this factor of adjustment gives a Z-function with the prime p removed from consideration. Zeta peak and zeta integral tunings may then be found as before.<br /> | Multiplying the Z-function by this factor of adjustment gives a Z-function with the prime p removed from consideration. Zeta peak and zeta integral tunings may then be found as before.<br /> | ||