Talk:Jacobi triple product

Problems with article

This article has some problems.

A minor problem is that the φ function used to express the pentagonal number product and sum was nowhere defined prior to its use, so the substitutions mentioned for x and y make no sense.

This is of course easily fixed, by simply defining the triple product to be the φ function.

Another minor problem is that the pentagonal number theorem is mentioned, but is never invoked! That is, nowhere in the article does it say what the pentagonal number theorem has to do with anything, for the reader who may be unfamiliar with it.

This is a pervasive problem in Wikipedia math articles, where some seem to think that just including a link is a fine substitute for adequate writing. It is not.

The MAJOR problem with this article is that the proof does not use mathematics. (It uses physics.) Proofs of mathematical propositions must use mathematical reasoning.

Now: I presume that someone knowledgeable in this subject will know how to translate the physics gobbledegook in this article into meaningful mathematics. I very much hope that someone knowledgeable will do exactly that.Daqu (talk) 20:42, 4 November 2015 (UTC)[reply]

The talk about the "Dirac sea" was added by 66.117.135.137 on 21/9/2007. I feel inclined to delete it. — Preceding unsigned comment added by 86.136.176.33 (talk) 10:39, 25 March 2016 (UTC)[reply]

y^2 or y?

Some versions Ive seen online and textbooks use a non-squared variable like y instead of y^2. Which is more standard?

- Grosswald, Representations of Integers as Sums of Squares, Chapter 8 section 6

- Hirshhorn, A simple proof of Jacobi's four-square theorem Wqwt (talk) 22:23, 23 September 2024 (UTC)[reply]