Riemann zeta function: 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>2016-05-~~28 18~~:50:52 UTC</tt>.

: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-05-29 07:16:56 UTC</tt>.

: The original revision id was <tt>~~584295733~~</tt>.

: The original revision id was <tt>584311453</tt>.

: The revision comment was: <tt></tt>

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Now suppose that ||x|| denotes the difference between x and the integer nearest to x. For example, ||8.202|| would be .202, since it's the difference between 8.202 and the nearest integer, which is 8. ||7.95|| would be .05, which is the difference between 7.95 and the nearest integer, which is 8. Mathematically speaking, ||x|| denotes the function |x - floor(x+1/2)|.

For any value of x, we can construct a p-limit [[patent val|generalized ~~papent~~ val]]. We do so by rounding log2(q)*x to the nearest integer for each prime q up to p. Now consider the function

For any value of x, we can construct a p-limit [[patent val|generalized patent val]]. We do so by rounding log2(q)*x to the nearest integer for each prime q up to p. Now consider the function

[[math]]

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Now suppose that ||x|| denotes the difference between x and the integer nearest to x. For example, ||8.202|| would be .202, since it's the difference between 8.202 and the nearest integer, which is 8. ||7.95|| would be .05, which is the difference between 7.95 and the nearest integer, which is 8. Mathematically speaking, ||x|| denotes the function |x - floor(x+1/2)|.

For any value of x, we can construct a p-limit <a class="wiki_link" href="/patent%20val">generalized ~~papent~~ val</a>. We do so by rounding log2(q)*x to the nearest integer for each prime q up to p. Now consider the function

For any value of x, we can construct a p-limit <a class="wiki_link" href="/patent%20val">generalized patent val</a>. We do so by rounding log2(q)*x to the nearest integer for each prime q up to p. Now consider the function

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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>2016-05-28 18:50:52 UTC</tt>.<br>
+: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-05-29 07:16:56 UTC</tt>.<br>
-: The original revision id was <tt>584295733</tt>.<br>
+: The original revision id was <tt>584311453</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 13: / Line 13: @@
 Now suppose that ||x|| denotes the difference between x and the integer nearest to x. For example, ||8.202|| would be .202, since it's the difference between 8.202 and the nearest integer, which is 8. ||7.95|| would be .05, which is the difference between 7.95 and the nearest integer, which is 8. Mathematically speaking, ||x|| denotes the function |x - floor(x+1/2)|.
-For any value of x, we can construct a p-limit [[patent val|generalized papent val]]. We do so by rounding log2(q)*x to the nearest integer for each prime q up to p. Now consider the function
+For any value of x, we can construct a p-limit [[patent val|generalized patent val]]. We do so by rounding log2(q)*x to the nearest integer for each prime q up to p. Now consider the function
 [[math]]
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 Now suppose that ||x|| denotes the difference between x and the integer nearest to x. For example, ||8.202|| would be .202, since it's the difference between 8.202 and the nearest integer, which is 8. ||7.95|| would be .05, which is the difference between 7.95 and the nearest integer, which is 8. Mathematically speaking, ||x|| denotes the function |x - floor(x+1/2)|.&lt;br /&gt;
 &lt;br /&gt;
-For any value of x, we can construct a p-limit &lt;a class="wiki_link" href="/patent%20val"&gt;generalized papent val&lt;/a&gt;. We do so by rounding log2(q)*x to the nearest integer for each prime q up to p. Now consider the function&lt;br /&gt;
+For any value of x, we can construct a p-limit &lt;a class="wiki_link" href="/patent%20val"&gt;generalized patent val&lt;/a&gt;. We do so by rounding log2(q)*x to the nearest integer for each prime q up to p. Now consider the function&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextMathRule:0: