Timeline for Growth of the coefficients of the inversion of the $j$-invariant function
Current License: CC BY-SA 4.0
20 events
| when toggle format | what | by | license | comment | |
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| Dec 18, 2021 at 5:56 | answer | added | Tom Copeland | timeline score: 4 | |
| Dec 18, 2021 at 2:54 | vote | accept | Jean | ||
| Dec 18, 2021 at 2:53 | history | edited | Jean | CC BY-SA 4.0 |
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| Dec 18, 2021 at 2:44 | comment | added | Jean | Thanks @JoeSilverman I will do it right now and sorry again | |
| Dec 18, 2021 at 1:25 | comment | added | Somos | @JoeSilverman Agreed. I think a new question is more appropriate in this case. | |
| Dec 18, 2021 at 0:30 | comment | added | Joe Silverman | In general, you should not edit a question so that previous answers are no longer comprehensible. In such a case, it's generally better to ask a new question. | |
| Dec 17, 2021 at 23:52 | history | edited | Jean | CC BY-SA 4.0 |
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| Dec 17, 2021 at 23:45 | comment | added | Jean | Dear @Somos sorry for my inexperience in this web site, I tried to make things simpler and I made some confusion. I think now the question is completely well-posed. But I don't know if I should edit or create another question. Sorry. | |
| Dec 17, 2021 at 23:43 | history | edited | Jean | CC BY-SA 4.0 |
I changed for the full question, since I saw that bounds for $d_k$ is not enough.
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| Dec 17, 2021 at 23:17 | answer | added | reuns | timeline score: 0 | |
| Dec 17, 2021 at 22:30 | comment | added | Somos | Your series $\,\sum_{k\geq 1}\frac{kd_k}{(1728)^{k+1}}\,$ does not depend on $\,q\,$ so how can you expect an upper bound "in terms of $1/(q-q_0)$"? Perhaps a typo? | |
| Dec 17, 2021 at 22:04 | comment | added | Jean | @Somos Thanks for suggestion! | |
| S Dec 17, 2021 at 22:03 | history | edited | Jean | CC BY-SA 4.0 |
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| Dec 17, 2021 at 21:42 | review | Suggested edits | |||
| S Dec 17, 2021 at 22:03 | |||||
| Dec 17, 2021 at 21:38 | comment | added | Somos | Please edit your question to include this vital piece of context for everyone to see. | |
| Dec 17, 2021 at 21:37 | comment | added | Jean | @Somos Thanks for your answer. Actually, I would like to find an explicit upper bound for $\sum_{k\geq 1}\frac{kd_k}{(1728)^{k+1}}$ in terms of $1/(q-q_0)$, for $q_0=e^{-2\pi}$. Any suggestion? | |
| Dec 17, 2021 at 20:46 | comment | added | Somos | The OEIS sequence A091406 entry probably has the information you are looking for. The series is $q = 1/j + 744/j^2 + 750420/j^3 + 872769632/j^4 + \cdots$ | |
| Dec 17, 2021 at 20:43 | answer | added | Joe Silverman | timeline score: 4 | |
| Dec 17, 2021 at 20:13 | comment | added | Jackson Morrow | Have you see this paper (arxiv.org/pdf/1708.02725.pdf)? You might be able to find what you are looking for there. | |
| Dec 17, 2021 at 19:58 | history | asked | Jean | CC BY-SA 4.0 |