Another Proof of zeta(2) = pi(2)/6 Using Double Integrals

作者：Ritelli Daniele^*

来源：American Mathematical Monthly, 2013, 120(7): 642-645.

DOI：10.4169/amer.math.monthly.120.07.642

Starting from the double integral %26lt;br%26gt;integral(infinity)(0) integral(infinity)(0) dx dy/(1 + y)(1 + x(2)y), %26lt;br%26gt;we give another solution to the Basel Problem %26lt;br%26gt;Sigma(infinity)(n=1) 1/n(2) = pi(2)/6.

• 出版日期2013-9