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La formule généralisant la loi de réciprocité quadratique de Legendre et exprimant le
reste par huit de la signature d'une forme quadratique entière non dégénérée à l'aide
d'une somme de Gauss est attribuée par Milnor à Milgram, la faisant remonter à Braun. Le
formalisme de Witt la réduit au cas de dimension 1 que Chandrasekharan attribue à Cauchy
et Kronecker. Braun soulignait que les preuves de ces formules nécessitent des moyens
d'analyse. Une propriété métrique de l'octogone...
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