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Another potential technical GA number theory article, I suppose, may be possible to do quickfailed. There are many problems, some of which may be listed below:
* One such problem is that this article has some unsourced paragraphs: in the definition, equivalent definition, and many more sections (GACR2b). [[User:Dedhert.Jr|Dedhert.Jr]] ([[User talk:Dedhert.Jr|talk]]) 10:13, 17 April 2024 (UTC)
::{{In progress}} Added [[template:cn]] tags for now to offending paragraphs. [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 20:18, 18 April 2024 (UTC)
* In the lead, I can see sequences mathematically written after naming the sequences. Why can't we simply remove them, making the reader understand the abstraction at the beginning? (GACR1b) We already have an examples section containing a list of sequences in the table, though it may discussed further below. Also, I do not understand why you need to repeat defining the topic twice in both the lead and definition sections. [[User:Dedhert.Jr|Dedhert.Jr]] ([[User talk:Dedhert.Jr|talk]]) 10:13, 17 April 2024 (UTC)
::{{done}} Yes that is probably better. The reason I define it twice is that the definition section clarifies that the sequence <math>s_i</math> and the coefficients <math>c_i</math> range over the same ___domain (sequence of integers, rationals, reals, ...) but it's possible this could be more clear or could be structured differently. [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 20:28, 18 April 2024 (UTC)
::{{Question}} To clarify, are you suggesting the floats and examples be removed from the lead? [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 20:28, 18 April 2024 (UTC)
* Same section here, I wonder if you could put the-unsolved-problem-template, somewhere the section mentions it. Same reason for those two images in the lead. [[User:Dedhert.Jr|Dedhert.Jr]] ([[User talk:Dedhert.Jr|talk]]) 10:13, 17 April 2024 (UTC)
::{{done}} [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 20:28, 18 April 2024 (UTC)
* Definition: The math display="block" already gives an indentation of the formula, so why do you need to add a colon? Do you also need to emphasize the boldface word '''order'''? Do you need to bracket the sentence describing another nickname of the equation? [[User:Dedhert.Jr|Dedhert.Jr]] ([[User talk:Dedhert.Jr|talk]]) 10:13, 17 April 2024 (UTC)
::{{done}} for all of these. [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 20:18, 18 April 2024 (UTC)
* Examples: I do not understand here. Why do you need tables, whereas you also need more subsections to describe every cell in that table? Also, they are unsourced (GACR2b). [[User:Dedhert.Jr|Dedhert.Jr]] ([[User talk:Dedhert.Jr|talk]]) 10:13, 17 April 2024 (UTC)
::{{Partly done}} I added an OEIS link for the table. Is this sufficient, or do we need OEIS links at each individual row, or is OEIS insufficient? [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 20:28, 18 April 2024 (UTC)
* Equivalent definitions: Is it fine to write "<math> \leq d </math>", instead of writing "less than or equal to <math> d </math>", as it may not be helpful for non-mathematical readers (GACR1a). A "non-homogeneous linear recurrence" phrase may not need to be emphasized in boldface per [[MOS:BOLDTITLE]].▼
▲* Equivalent definitions: Is it fine to write "<math> \leq d </math>", instead of writing "less than or equal to <math> d </math>", as it may not be helpful for non-mathematical readers (GACR1a)
::{{done}} [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 20:18, 18 April 2024 (UTC)
* Equivalent definitions, the images: Many tables may considered as the images with the following captions, a somewhat clever way but aesthetically abysmal after the gap appearance on the right side. Maybe I suggest cropping the formulas and uploading them (or do you have an alternative way, or whatever). [[User:Dedhert.Jr|Dedhert.Jr]] ([[User talk:Dedhert.Jr|talk]]) 10:13, 17 April 2024 (UTC)
::{{done}} I have manually modified the widths although it's a bit annoying. I haven't found a good alternative. These could also be replaced with wikitables with float right. [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 20:18, 18 April 2024 (UTC)
* Closed-form characterization: Pay attention to the [[MOS:EXPLAINSYMBOLS]], suggesting that representing the symbols mathematically by using a list of bullets may cause excessive vertical space, which is instead of recommending the usage of prose. [[User:Dedhert.Jr|Dedhert.Jr]] ([[User talk:Dedhert.Jr|talk]]) 10:13, 17 April 2024 (UTC)
::{{done}} modulo adding 1 additional reference. [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 20:18, 18 April 2024 (UTC)
* Generalizations: I recommended you ::{{done}} I removed the bullets and added two citations. However, they were already sentence case, correct? [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 20:40, 18 April 2024 (UTC)
Others are the comments that may suggest that you could add the parameter "inline" for every math formula in the inline paragraph, avoiding the excessive vertical spaces.
::{{In progress}} I fixed some but I didn't know about the inline parameter, I will check for any remaining ones.
::{{done}} [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 03:56, 19 April 2024 (UTC)
Also, in the case of references, does Stanley 2011 have a publisher, as the source is said to be [[WP:RS|reliable]] if there are exist of authors, years published, and the publisher?
::Stanley does have a publisher, it's Cambridge studies in advanced mathematics (listed). [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 20:40, 18 April 2024 (UTC)
::{{GA2ndopinion}} A second opinion particularly from a mathematics article expert would be appreciated! [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 20:40, 18 April 2024 (UTC)
:On second thought, I think this could be quickfailed due to the failure of meeting [[WP:GACR|one of GA criterias]]. [[User:Dedhert.Jr|Dedhert.Jr]] ([[User talk:Dedhert.Jr|talk]]) 16:29, 18 April 2024 (UTC)
::{{Question}} Can you clarify which criterias are still not satisfied and why? I know that the citations part is still in progress. [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 20:40, 18 April 2024 (UTC)
{{ping|Dedhert.Jr}} Thank you for the review! I will address and fix all feedback inline (or if anyone else gets to it before me!) [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 19:02, 18 April 2024 (UTC)
{{ping|Dedhert.Jr}} I addressed the comments and asked some specific questions above. [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 20:40, 18 April 2024 (UTC)
▲Others is suggested that if you could add the parameter "inline" for every math formula in the inline paragraph, avoiding the excessive vertical spaces. Also, in the case of references, does Stanley 2011 have a publisher, as the source is said to be [[WP:RS|reliable]] if there are exist of authors, years published, and the publisher? I do think this quickfailed the article, but I probably need a second opinion, stating this strongly and add some more comments, or another user who gives opposition of these comments. [[User:Dedhert.Jr|Dedhert.Jr]] ([[User talk:Dedhert.Jr|talk]]) 10:13, 17 April 2024 (UTC)
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