List of conjectural series for powers of $π$ and other constants

Details List of conjectural series for powers of $π$ and other constants List of conjectural series for powers of $π$ and other constants

2011-02-28

arxiv.org/abs/1102.5649v37

Mathematics

Classical Analysis and ODEs

27 pages. (2.25) and (2.27) are new. Now the list contains 170 conjectural series

Scientific paper

The author gives the full list of his conjectures on series for powers of $\pi$ and other important constants scattered in some of his public preprints or his private diaries. The list contains totally 170 conjectural series. On the list there are 162 series for $\pi^{-1}$, 3 series for $\pi^2$, 2 series for $\pi^{-2}$, 1 series for $\zeta(3)$ and 2 series for $L(2,(\cdot/3))$. The code of a conjectural series is underlined if and only if a complete proof of the identity is available now.

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