The paper introduces new, mostly proven hypergeometric series for log 2, log 3, and log 5 with lower binary splitting costs than Machin-type formulas, plus a variable-p family.
Parametric Continued Fractions for $\pi^2$, $\zeta(3)$, and other Constants
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We give an extensive list of parametrized families of polynomial continued fractions of smallest possible degrees for $\pi^2$ and $\zeta(3)$, and mention similar results for other constants.
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Fast Ramanujan-type Series for Logarithms. Part I
The paper introduces new, mostly proven hypergeometric series for log 2, log 3, and log 5 with lower binary splitting costs than Machin-type formulas, plus a variable-p family.