https://companal.subwiki.org/w/index.php?action=history&feed=atom&title=Riemann_zeta_function 2026-07-24T13:13:33Z Revision history for this page on the wiki MediaWiki 1.41.2 https://companal.subwiki.org/w/index.php?title=Riemann_zeta_function&diff=434&oldid=prev 2008-05-18T19:18:16Z

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Vipul https://companal.subwiki.org/w/index.php?title=Riemann_zeta_function&diff=433&oldid=prev 2008-05-01T20:58:38Z

<p>New page: ==Definition== The &#039;&#039;&#039;Riemann zeta function&#039;&#039;&#039;, denoted &lt;math&gt;\zeta&lt;/math&gt; (pronounced &#039;&#039;zeta&#039;&#039;), is a <a href="/wiki/Holomorphic_function" title="Holomorphic function">holomorphic function</a> defined on &lt;math&gt;\mathbb{C} \setminus \{ 1 \}&lt;/math&gt;. ===D...</p> <p><b>New page</b></p><div>==Definition==<br /> <br /> The &#039;&#039;&#039;Riemann zeta function&#039;&#039;&#039;, denoted &lt;math&gt;\zeta&lt;/math&gt; (pronounced &#039;&#039;zeta&#039;&#039;), is a [[holomorphic function]] defined on &lt;math&gt;\mathbb{C} \setminus \{ 1 \}&lt;/math&gt;.<br /> <br /> ===Definition in terms of the summation representation===<br /> <br /> For &lt;math&gt;s&lt;/math&gt; such that &lt;math&gt;\operatorname{Re}(s) &gt; 1&lt;/math&gt;, we have:<br /> <br /> &lt;math&gt;\zeta(s) = \sum_{n=1}^\infty \frac{1}{n^s}&lt;/math&gt;</div>

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