Great article. Just a minor hint:

The sum for 1/( k^3 ) is known since 1979: It's called the Apér'y Constant.

Source:http://en.wikipedia.org/wiki/Ap%C3%A9ry%27s_constant

Cheers, Gerhard Tscheinig

## Extension to the Basel Problem is known since 1979

Great article. Just a minor hint:

The sum for 1/( k^3 ) is known since 1979:

It's called the Apér'y Constant.

Source:

http://en.wikipedia.org/wiki/Ap%C3%A9ry%27s_constant

Cheers,

Gerhard Tscheinig