Timeline for Are these continued fractions for the "tails" of $\zeta(3)$ and of the Catalan constant known?
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| Oct 14, 2023 at 19:27 | comment | added | Wolfgang | Anyway, it gives rise to the more than interesting conjectures $$ \frac{1}{f((n+1)(2n+3)+k^2,-n(n+1)^3)}=-2k^3\Phi(-1,2,k)+k+1$$ and $$ \frac{1}{f((n+1)(2n+1)+k^2,-n^3(n+1))}=2k\Phi(-1,2,k)-\frac{1}{k}$$ where $\displaystyle\Phi(z, s, \alpha) = \sum_{n=0}^\infty \frac { z^n} {(n+\alpha)^s}$ is the Lerch transcendent! | |
| Sep 29, 2023 at 9:00 | comment | added | Wolfgang | May you tell me how you came up with these identities? (I mean, with the RHS?) | |
| Sep 8, 2023 at 12:24 | history | edited | Nanhui Lee | CC BY-SA 4.0 |
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| Sep 3, 2023 at 16:58 | comment | added | Wolfgang | This is a bit different kind of CF, as the numerators are not "exactly" polynomials but composed of two "intermingled" ones. Even though we don't address these, you may be interested at our recent publication arxiv.org/pdf/2308.11829.pdf | |
| Sep 3, 2023 at 14:57 | comment | added | user44191 | If you have a new question, please ask it by clicking the Ask Question button. Include a link to this question if it helps provide context. - From Review | |
| Sep 3, 2023 at 14:48 | review | Low quality posts | |||
| Sep 13, 2023 at 14:07 | |||||
| Sep 3, 2023 at 14:30 | review | Late answers | |||
| Sep 3, 2023 at 14:57 | |||||
| Sep 3, 2023 at 14:25 | history | edited | Nanhui Lee | CC BY-SA 4.0 |
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| Sep 3, 2023 at 14:24 | history | edited | Nanhui Lee | CC BY-SA 4.0 |
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| Sep 3, 2023 at 14:16 | history | edited | Nanhui Lee | CC BY-SA 4.0 |
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| S Sep 3, 2023 at 14:15 | review | First answers | |||
| Sep 3, 2023 at 14:42 | |||||
| S Sep 3, 2023 at 14:15 | history | answered | Nanhui Lee | CC BY-SA 4.0 |