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For questions about the quantitative study of topics such as numbers, structure, space, and change, carried out by investigating patterns

4 votes

Is it true that Euler did not prove the sum of the Basel series $\sum_{n=1}^{\infty}\frac{1}...

It really depends on what you think constitutes a 'proof'. Euler gave a proof for $\zeta(2)=\pi^2/6$ with an argument that $\sin(\pi x)/\pi x$ should have a factorization like a polynomial in terms o …
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