Talk:Proofs of quadratic reciprocity
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These things need to be done:
- Clean up, wikify and check what I've written.
- Finish the bits of that proof that I haven't written yet (in particular the calculation of the quadratic subfield of the cyclotomic field via gauss sums, or whatever method).
- Add explanation of how to get the "supplementary theorems" in the same spirit as the proof I have partially written.
- Last but CERTAINLY NOT LEAST, write up a proof that doesn't use all that algebraic number theory!!! i.e. one that is accessible -- yes such proofs do exist!
Dmharvey 
Talk 03:10, 6 November 2005 (UTC)
Two elementary proofs you might like are Hammick 2001: http://www3.telus.net/ldh/math/qrl.html and Zolotarev 1872: http://planetmath.org/encyclopedia/ZolotarevsLemma.html
[edit] eisenstein's proof
I've added half of eisenstein's proof. The other half ("eisenstein's lemma") still needs to be written.
- Yes Oleg, I know you think section stubs are ugly, but I'm tired now, and I promise I will make the stub notice disappear in the next few days :-)
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- done now Dmharvey 11:56, 14 April 2006 (UTC)
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- I read about this proof at http://math.nmsu.edu/~history/eisenstein/eisenstein.html, but it would be nice to have a primary reference for it.
- I don't know whether "Eisenstein's lemma" is a nonstandard name for this result, perhaps coined in the above-mentioned article, or whether it is is standard.
Dmharvey 02:42, 14 April 2006 (UTC)
