Timeline for Existence of radial limits of products of certain power series and $1-x$
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 4, 2019 at 21:34 | vote | accept | MCS | ||
| Jul 2, 2019 at 21:01 | history | bounty ended | CommunityBot | ||
| Jun 26, 2019 at 2:23 | comment | added | MCS | There's also one more condition that I just realized we can use: if $V$ is such that $T_{V}\cap\mathbb{Q}\neq\mathbb{Q}$, then the same needs to be true of $\mathbb{N}_{0}\backslash V$, where $\mathbb{N}_{0}$ is the set of non-negative integers, or else I win and there's nothing that any of us need to worry about. :) | |
| Jun 26, 2019 at 2:04 | comment | added | MCS | ...does your construction (or a variant thereof) still hold if $V$ is required to contain an infinite arithmetic progression (ex: $a,a+b,a+2b,a+3b,...$)? Moreover, are there any techniques you can think of that might be helpful here, aside from the kind of brute force sequence construction that you used? | |
| Jun 26, 2019 at 2:01 | comment | added | MCS | This is amazing. I was thinking of arranging $V$ to stay in one residue class for a long time, then another residue class for an even longer time, etc., but (ironically enough for someone who thinks of himself as an analyst) I always have trouble playing around with the growth-rate sandbox like this. As for probabilistic approaches... let's just say they're not my cup of tea. That being said... | |
| Jun 26, 2019 at 1:25 | review | First posts | |||
| Jun 26, 2019 at 5:37 | |||||
| Jun 26, 2019 at 1:20 | history | answered | Anyone is free to edit | CC BY-SA 4.0 |