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Basel problem

name

Etymology

Named after Basel, the home town of Euler and of the Bernoulli family who unsuccessfully attacked the problem.

Definitions

  1. The question as to the value of ∑ₙ₌₁ ᪲1/(n²), the sum of the reciprocals of the squares…

    The question as to the value of ∑ₙ₌₁ ᪲1/(n²), the sum of the reciprocals of the squares of the positive integers.

    • As noted, some of Euler's contemporaries, while accepting his answer to the Basel Problem, wondered about the validity of the argument that got him there.
    • Solving the Basel problem was one of the early triumphs of L. Euler (1707–1783)... .
    • And so ends one of Euler's most famous papers. We see that Euler actually solves the Basel problem three times and that he does much more.

The neighborhood

Vish — recursive loop

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sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA