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21
votes
Accepted
Can Eisenstein's lattice point proof of quadratic reciprocity be generalized?
Gauss's (unpublished and largely unknown) proof of the quartic reciprocity law
probably used lattice point arguments. The details were supplied by several authors
at the end of the 19th century (for r …
28
votes
What's the "best" proof of quadratic reciprocity?
The following variant of a proof going back to V. Lebesgue and Eisenstein is due to Aurelien Bessard (2010). See also W. Castryck, A shortened classical proof of the quadratic reciprocity law, Amer. …
11
votes
Context for "Coronidis Loco" from Weil's Basic Number Theory
The parity problems Armitage alludes to includes Hecke's theorem,
as well as to other (and related) parity problems brought fourth
by Froehlich in his theory of Galois modules. For a couple of
referen …