The Elegant Symmetry of Inverting Sums
<p>The first time I saw this, I was hooked! You can’t “unsee” it and you don’t want to forget it because the fact that it is true is so amazing. This is just the start of a more general theory in mathematics that I will briefly touch upon at the end of the article.</p>
<p>Not only is this amazing, but it is also one of the most useful tools in number theory. Let’s try to understand this together by going through a simple example.</p>
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