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Replaced equation and "big list" (different ways) question in title. It should not have been removed since that changed the question and reduced clarity

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edited Dec 15, 2023 at 13:26

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The Different ways to prove $\sum_{k=1}^\infty \frac{1}{k^2}=\frac{\pi^2}{6}$ (the Basel problem)

Remove unused links

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edited Oct 3, 2022 at 16:13

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Different methods to compute $\sum\limits_{k=1}^\infty \frac{1}{k^2}$ (Basel The Basel problem)

As I have heard people did not trust Euler when he first discovered the formula (solution of the Basel problem) $$\zeta(2)=\sum_{k=1}^\infty \frac{1}{k^2}=\frac{\pi^2}{6}.$$$$\zeta(2)=\sum_{k=1}^\infty \frac{1}{k^2}=\frac{\pi^2}{6}$$ However, Euler was Euler and he gave other proofs.

I believe many of you know some nice proofs of this, can you please share it with us?

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occurred Mar 31, 2021 at 5:28

edited tags

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edited May 13, 2020 at 16:45

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sequences-and-series number-theory fourier-analysis big-list transcendental-numbers faq

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occurred Apr 29, 2019 at 23:12

Bounty Ended with Pedro's answer chosen by Mr Pie

occurred Apr 29, 2019 at 23:12

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occurred Apr 26, 2019 at 3:31

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occurred Apr 26, 2019 at 3:31

Title improved for searchability

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edited Nov 8, 2017 at 19:11

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k is the usual index for summation, n is used for the upper limit of summation.

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edited Aug 13, 2015 at 4:02

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Added the (number-theory) tag

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edited Jun 26, 2015 at 10:36

Américo Tavares

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obsolete part removed

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edited May 23, 2015 at 23:32

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Added Wikipedia link

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edited Apr 16, 2015 at 10:33

Martín-Blas Pérez Pinilla

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edited inappropriate tags

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edited Feb 24, 2015 at 21:37

Mister Benjamin Dover

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Notice removed Authoritative reference needed by CommunityBot

occurred Jan 19, 2015 at 18:24

Bounty Ended with Markus Scheuer's answer chosen by CommunityBot

occurred Jan 19, 2015 at 18:24

Notice added Authoritative reference needed by user187581

occurred Jan 11, 2015 at 16:42

Bounty Started worth 50 reputation by CommunityBot

occurred Jan 11, 2015 at 16:42

added 8 characters in body

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edited Jun 19, 2012 at 21:03

AD - Stop Putin -

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deleted 1 characters in body; edited title

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edited Aug 14, 2011 at 1:03

J. M. ain't a mathematician

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Tweeted twitter.com/#!/StackMath/status/102509731473670144

occurred Aug 13, 2011 at 22:39

Post Made Community Wiki by Willie Wong

occurred Aug 13, 2011 at 21:19

added 421 characters in body; edited tags

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edited Jul 13, 2011 at 18:30

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edited tags

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edited Oct 31, 2010 at 8:32

J. M. ain't a mathematician

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edited tags

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edited Oct 30, 2010 at 10:11

J. M. ain't a mathematician

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