Talk:Macaulay representation of an integer

Request

TakuyaMurata, can you take a look at this page and provide more context about this subject? I don't understand the context and think it might be eligible for speedy deletion. If there's a mainspace page (or section) that might be worth redirecting/merging, please feel free to take action as I've alerady tried keyword searches in mainspace, and haven't found a good target to point to. Hasteur (talk) 14:26, 22 August 2017 (UTC)

I can agree to move it or delete it (there is no good redirect target). But can you give me a week? I'm attending a workshop right now and "right now" is not the best time to complete the draft (e.g., finding a ref). -- Taku (talk) 14:30, 22 August 2017 (UTC)

I'll hold off 1 week, then I'm going to suggest a CSD. Hasteur (talk) 14:42, 22 August 2017 (UTC)

Also TakuyaMurata would this method of raising the concern on the talk page work best for you in terms of trying to figure out a good way to address these drafts? Obviously ones that are well fleshed out (like K-theory of a category) are plenty ready for mainspace (so can be promoted there). Hasteur (talk) 14:50, 22 August 2017 (UTC)

For the record, I still don't agree with the need to get rid of old drafts in the draftspace; and there is no community consensus. When I find time, I will start an RfC to settle this matter once and for all. (I'm too busy for that right now.) If you find a page that is problematic, which is mine or not, you should raise a concern in the talkpage. I now realized that a short draft without enough context can cause review problems so I agreed to do something about it; that's all. Not because it is old. -- Taku (talk) 08:05, 23 August 2017 (UTC)

Examples

Would be interesting to see cases d=2 and d=3 for first ~20 integers, and see their coefficients, similar to what most other pages about numbering systems do. 81.6.34.246 (talk) 08:43, 11 November 2019 (UTC)

Examples might also clear up some questions I've got from the definition, though better wording could also help. Are the $c_{i}$ uniquely determined given that they must be strictly increasing, or uniquely determined and also a property of them is that they are strictly increasing? (The fact that replacing $c_{i}$ by $i-c_{i}$ wouldn't change the sum makes me think the former, but I think the grammar of the sentence implies the latter.) Also, does every $n\in \mathbb {Z} ^{+}$ have a $d$-th Macaulay representation for every $d\in \mathbb {Z} ^{+}$? (Surely not, as there's only finitely many $(c_{1},\dots ,c_{d})\in (\mathbb {Z} ^{+})^{d}$ with $c_{1}<1,c_{2}<2\dots ,c_{d}<d$, so what's the largest value $N$ represented and are there representations for all $n\in \{1,\dots ,N\}$?) These are not exactly questions I want answered for myself (I'm sure I could make progress on them with a bit of thought), but questions that the article might address if there are sources that comment on these properties. — Bilorv (talk) 21:27, 14 December 2021 (UTC)