Timeline for Extending Apéry's proof to Catalan's constant?
Current License: CC BY-SA 4.0
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| Aug 9, 2021 at 8:19 | history | edited | rgvalenciaalbornoz | CC BY-SA 4.0 |
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| Aug 8, 2021 at 21:35 | comment | added | rgvalenciaalbornoz | Yes, any rational sequence that converges fast enough to $\beta$, to satisfy the criterion. It is considered in the sense of the limit, i.e, it should hold for infinite values of $n$. For more details, see here | |
| Aug 8, 2021 at 20:50 | history | edited | rgvalenciaalbornoz | CC BY-SA 4.0 |
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| Aug 8, 2021 at 20:45 | history | edited | rgvalenciaalbornoz | CC BY-SA 4.0 |
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| Aug 8, 2021 at 19:21 | comment | added | Steven Clark | Could you please clarify what you mean by a rational sequence $\frac{p_n}{q_n}$? Do you mean any rational sequence for which $\underset{n\to\infty}{\text{lim}}\left(\frac{p_n}{q_n}\right)\to\beta$? Is $\left|\beta-\frac{p_{n}}{q_{n}}\right| < \frac{1}{q_{n}^{1+\delta}}$ required for all values of $n$ or just as $n\to\infty$? | |
| Aug 8, 2021 at 15:55 | history | edited | rgvalenciaalbornoz | CC BY-SA 4.0 |
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| Aug 8, 2021 at 11:20 | vote | accept | KStar | ||
| Aug 8, 2021 at 11:19 | history | bounty ended | KStar | ||
| Aug 8, 2021 at 10:17 | comment | added | David Roberts♦ | Thanks, that helps get the point across! | |
| Aug 8, 2021 at 8:47 | history | edited | rgvalenciaalbornoz | CC BY-SA 4.0 |
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| Aug 8, 2021 at 6:52 | comment | added | David Roberts♦ | Can you add a one-sentence summary at the top of the point you are making? | |
| Aug 8, 2021 at 0:18 | history | edited | rgvalenciaalbornoz | CC BY-SA 4.0 |
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| Aug 8, 2021 at 0:08 | history | edited | rgvalenciaalbornoz | CC BY-SA 4.0 |
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| Aug 7, 2021 at 23:51 | comment | added | rgvalenciaalbornoz | This is the beta version, feel free to comment on everything | |
| Aug 7, 2021 at 23:50 | history | answered | rgvalenciaalbornoz | CC BY-SA 4.0 |