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	<title>Category:Completely multiplicative functions - Revision history</title>
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	<updated>2026-04-08T11:55:23Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://number.subwiki.org/w/index.php?title=Category:Completely_multiplicative_functions&amp;diff=443&amp;oldid=prev</id>
		<title>Vipul: Created page with &#039;This category lists those arithmetic functions that are completely multiplicative functions, i.e., functions &lt;math&gt;f&lt;/math&gt; from the natural numbers to a commutative unit...&#039;</title>
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		<updated>2009-05-10T15:26:48Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;#039;This category lists those &lt;a href=&quot;/wiki/Arithmetic_function&quot; title=&quot;Arithmetic function&quot;&gt;arithmetic functions&lt;/a&gt; that are &lt;a href=&quot;/wiki/Completely_multiplicative_function&quot; title=&quot;Completely multiplicative function&quot;&gt;completely multiplicative functions&lt;/a&gt;, i.e., functions &amp;lt;math&amp;gt;f&amp;lt;/math&amp;gt; from the natural numbers to a commutative unit...&amp;#039;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;This category lists those [[arithmetic function]]s that are [[completely multiplicative function]]s, i.e., functions &amp;lt;math&amp;gt;f&amp;lt;/math&amp;gt; from the natural numbers to a commutative unital ring such that:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;f(mn) = f(m)f(n) \ \forall m,n \in \mathbb{N}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
[[Category:Arithmetic functions]]&lt;/div&gt;</summary>
		<author><name>Vipul</name></author>
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