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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

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Are these continued fractions for the "tails" of $\zeta(3)$ and of the Catalan constant known?

I am very happy to find the "tails" formula of $\zeta(3)$ here. I have discovered the "tails" formula of $\eta(2)$ and $\beta(2)$ (Catalan's constant). You should be able to find these two similar for …
Nanhui Lee's user avatar