Talk:Gauss's lemma (number theory)

How Good is this Page?

So Good.

In fact, Damn Good. —Preceding unsigned comment added by 132.170.49.25 (talk) 01:44, 3 October 2007 (UTC)

Lemma?

According to User:D.Lazard this is not a Lemma (mathematics): "MOS:EGG: the reason for which this is called a lemma and not a theorem is not in the linked article)". Which kind of lemma is? --Vilnius (talk) 16:14, 21 February 2022 (UTC)

As explained in an explanatory note in Gauss's lemma (polynomials)‎‎, Gauss's lemmas are theorems that are called lemmas for historical reasons (probably because they were originally stated as preparatory statements for other theorems; this must be checked). Moreover, the fact that these results are called lemmas rather than theorem is not important for the subject of the article. So, if you want to link to Lemma (mathematics), the best seems to do this with a footnote similar to the one that I have recently added to Gauss's lemma (polynomials)‎‎. D.Lazard (talk) 16:47, 21 February 2022 (UTC)

Now is perfectly clear, thanks. I think it is important for a reader to understand why it's called a lemma and not a theorem. BTW also the entry Lemma (mathematics) says that lemma is a generic definition and there are things called lemma but that are theorems. I was just thinking to people not used to mathematicians' language asking what is a lemma? And before going to search ... Oh great, someone linked it here.--Vilnius (talk) 16:36, 23 February 2022 (UTC)

Is this true for composite moduli?

I've been going over the article on Jacobi symbols. and was wondering if Gauss's lemma extends to them. I think I've seen a proof, but can't remember where.

Thanks

James in dc (talk) 02:15, 15 December 2023 (UTC)