Hi,

I was reading [this](http://mathoverflow.net/questions/100265/not-especially-famous-long-open-problems-which-anyone-can-understand/) when I came across [Gourevitch's conjecture](http://mathoverflow.net/questions/100265/not-especially-famous-long-open-problems-which-anyone-can-understand/100290#100290).

My understanding is that solutions to these series are of practical interest. If one encounters such a series, being able to solve it exactly is more practical than having to solve it numerically.

But, not being a mathematician, I simply can't imagine what the theoretical implications of proving such conjectures are.

What are they?