Timeline for Generalized random harmonic series
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Nov 10, 2021 at 2:41 | comment | added | Vincent Granville | Time permitting, I will compute more exact moments in the easy case $a_k=1/b^k$. Despite being the easy case, when $b>2$, the limiting distribution is awkward. | |
| Nov 9, 2021 at 4:46 | comment | added | Iosif Pinelis | @VincentGranville : A good point about the inequalities. | |
| Nov 9, 2021 at 3:09 | comment | added | Vincent Granville | Another interesting fact, is that obviously my formula for the 4-th and 6-th moment (assuming it is correct) must yield a positive value, which in turn means that it could result in new inequalities involving rather generic $a_k$'s as the derivation would apply to a very large class of $a_k$'s. | |
| Nov 8, 2021 at 21:31 | vote | accept | Vincent Granville | ||
| Nov 8, 2021 at 21:27 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Nov 8, 2021 at 21:21 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Nov 8, 2021 at 21:18 | comment | added | Vincent Granville | Thank you. I slightly updated my question (no need to change anything to your great answer) as the case $a_k=1/2^k$ is not what I intended to write (your answer is correct) but the case $a_k=1/3^k$, which leads to the Cantor set mentioned in my question. | |
| Nov 8, 2021 at 21:09 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Nov 8, 2021 at 20:51 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Nov 8, 2021 at 20:46 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |