id: 05963671
dt: j
an: 2012b.00054
au: Levrie, Paul
ti: Lost and found: An unpublished $ζ(2)$-proof.
so: Math. Intell. 33, No. 2, 29-32 (2011).
py: 2011
pu: Springer US, New York, NY
la: EN
cc: A30
ut: computation of $ζ(2)$ by Leonhard Euler; correspondence Euler-Bernoulli
ci:
li: doi:10.1007/s00283-010-9179-y
ab: 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.
rv: Thomas Sonar (Braunschweig)