Was playing around with Fourier series, and found an alternative solution to Euler's Basel problem
∑ 1/n² = π²/6pic.twitter.com/tViTmJIXlL
Show this thread
-
What is/are the other solution(s)?
-
-
Another popular proof is using the Fourier series for x² on an appropriate interval like [-1,1] or something
-
And a more obscure one is to compute Σ 1/(n²+α²) from n=1 to ∞ as a function of α (using residue theorem) and then take the limit as α -> 0.
- 4 more replies
New conversation -
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.