Proper noun
Basel problem
(mathematics) The question as to the value of
∑
n
=
1
∞
1
n
2
{\displaystyle \sum _{n=1}^{\infty }{\frac {1}{n^{2}}}}
, the sum of the reciprocals of the squares of the positive integers.
Applications The Basel problem The Basel problem asks to determine the sum : Euler computed this sum to 20 decimal places with only a few terms of the Euler–Maclaurin formula in 1735. Source: Internet
Apostol 1976, Section 4.8, Theorem 4.12 For comparison, the sum : does not grow to infinity as n goes to infinity (see Basel problem ). Source: Internet