Talk:Cubic reciprocity

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Mathematics rating: Stub Class Low Priority  Field: Number theory

[edit] Suspected error

I strongly suspect that

\alpha^{(P-1)/3} \equiv \left(\frac{\alpha}{\pi}\right)_3

should be replaced by

\alpha^{(P-1)/3} \equiv \left(\frac{\alpha}{\pi}\right)_3 \mod \pi

which would be somewhat analogous to Euler's criterion for the Legendre symbol. DRLB 18:45, 24 October 2006 (UTC)

Yes indeed, fixed now: thanks. Richard Pinch 06:26, 27 October 2006 (UTC)

[edit] Natural? Maybe. Understandable? Less so

In the text it is written "...cubic reciprocity is most naturally expressed...". Is there some other definitions, since it seems I need one "not naturally expressed". Vavlap (talk) 01:25, 16 April 2008 (UTC)

I agree that the current presentation is too abrupt. In a more gentle version the notion of "cubic residue" should be defined separately, and there should be a better explanation of the term "reciprocity" in this context. The lede mentions cubic equations, a term that does not recur in the article, making this only more mysterious.  --Lambiam 04:49, 24 April 2008 (UTC)