Pustam | पुस्तम | পুস্তম🇳🇵<p>A lattice sum with a surprising closed form:<br />\[\Large\displaystyle\sum_{\substack{(m,n)\in\mathbb Z^2\\(m,n)\neq0}}\dfrac{1}{(m+ni)^4}=\dfrac{\varpi^4}{15}=\dfrac{\Gamma^8\left(\frac14\right)}{960\pi^2}\]<br /><a href="https://mathstodon.xyz/tags/LatticeSum" class="mention hashtag" rel="tag">#<span>LatticeSum</span></a> <a href="https://mathstodon.xyz/tags/ClosedForm" class="mention hashtag" rel="tag">#<span>ClosedForm</span></a> <a href="https://mathstodon.xyz/tags/LemniscateConstant" class="mention hashtag" rel="tag">#<span>LemniscateConstant</span></a> <a href="https://mathstodon.xyz/tags/Series" class="mention hashtag" rel="tag">#<span>Series</span></a> <a href="https://mathstodon.xyz/tags/Sum" class="mention hashtag" rel="tag">#<span>Sum</span></a> <a href="https://mathstodon.xyz/tags/GammaFunction" class="mention hashtag" rel="tag">#<span>GammaFunction</span></a> <a href="https://mathstodon.xyz/tags/Pi" class="mention hashtag" rel="tag">#<span>Pi</span></a></p>
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Mohammad Hajiaghayi<p>Now (7pm ET) watch <br /><a href="https://youtu.be/IGGEbA7OF2A" target="_blank" rel="nofollow noopener noreferrer" translate="no"><span class="invisible">https://</span><span class="">youtu.be/IGGEbA7OF2A</span><span class="invisible"></span></a><br />(SUBSCRIBE TO YOUTUBE <br />@hajiaghayi</p><p>FOR MORE)<br />Lesson 7: Introduction to Algorithms by Mohammad Hajiaghayi: Making <a href="https://mathstodon.xyz/tags/Recursive" class="mention hashtag" rel="tag">#<span>Recursive</span></a> Relations <a href="https://mathstodon.xyz/tags/ClosedForm" class="mention hashtag" rel="tag">#<span>ClosedForm</span></a> using <a href="https://mathstodon.xyz/tags/Algebra" class="mention hashtag" rel="tag">#<span>Algebra</span></a> and <a href="https://mathstodon.xyz/tags/induction" class="mention hashtag" rel="tag">#<span>induction</span></a><br />we also talk about <a href="https://mathstodon.xyz/tags/algorithmicthinking" class="mention hashtag" rel="tag">#<span>algorithmicthinking</span></a> in our daily lives.</p>
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