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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Gauss's (unpublished and largely unknown) proof of the quartic reciprocity law probably used lattice point arguments.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 …
Franz Lemmermeyer's user avatar
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. …
Franz Lemmermeyer's user avatar
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 …
Franz Lemmermeyer's user avatar