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What is the theoretical interest of finding closed-form sols. of infinite series?

Hi,

I was reading this when I came across Gourevitch's conjecture.

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?

CHM
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