
05963671
j
2012b.00054
Levrie, Paul
Lost and found: An unpublished $\zeta(2)$proof.
Math. Intell. 33, No. 2, 2932 (2011).
2011
Springer US, New York, NY
EN
A30
computation of $\zeta(2)$ by Leonhard Euler
correspondence EulerBernoulli
doi:10.1007/s002830109179y
In a somewhat apocryphal letter from Euler to Daniel Bernoulli Euler reported about his success in summing $1/k^2$ and the steps he had to go through to prove it. Euler `saw' that some series converged but did not prove it. After presenting the letter the author gives the missing proofs.
Thomas Sonar (Braunschweig)