The Riemann zeta function and tuning: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-04-~~12 15~~:11:35 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-04-17 00:49:59 UTC</tt>.<br>

: The original revision id was <tt>~~219624288~~</tt>.<br>

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[[image:plot270.png]]

Note that for one of its neighbors, 271, it isn't entirely clear which peak value corresponds to the line of real values from +infinity. This can be determined by looking at the absolute value of zeta along other s values, such as s=1 or s=3/4, and in this case the local minimum at 271.069 is the value in question. However, other peak values are not without their interest; the local maximum at 270.941, for instance, is associated to a different mapping for 3.

=Computing zeta=

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<br />

<img src="/file/view/plot270.png/219383970/plot270.png" alt="plot270.png" title="plot270.png" /><br />

<br />

Note that for one of its neighbors, 271, it isn't entirely clear which peak value corresponds to the line of real values from +infinity. This can be determined by looking at the absolute value of zeta along other s values, such as s=1 or s=3/4, and in this case the local minimum at 271.069 is the value in question. However, other peak values are not without their interest; the local maximum at 270.941, for instance, is associated to a different mapping for 3.<br />

<br />

<h1 id="toc3"><a name="Computing zeta"></a>Computing zeta</h1>

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 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2011-04-12 15:11:35 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-04-17 00:49:59 UTC</tt>.<br>
-: The original revision id was <tt>219624288</tt>.<br>
+: The original revision id was <tt>220881044</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>
@@ Line 105: / Line 105: @@
 [[image:plot270.png]]
+Note that for one of its neighbors, 271, it isn't entirely clear which peak value corresponds to the line of real values from +infinity. This can be determined by looking at the absolute value of zeta along other s values, such as s=1 or s=3/4, and in this case the local minimum at 271.069 is the value in question. However, other peak values are not without their interest; the local maximum at 270.941, for instance, is associated to a different mapping for 3.
 =Computing zeta=
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+&lt;br /&gt;
+Note that for one of its neighbors, 271, it isn't entirely clear which peak value corresponds to the line of real values from +infinity. This can be determined by looking at the absolute value of zeta along other s values, such as s=1 or s=3/4, and in this case the local minimum at 271.069 is the value in question. However, other peak values are not without their interest; the local maximum at 270.941, for instance, is associated to a different mapping for 3.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Computing zeta"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Computing zeta&lt;/h1&gt;