Joint Review of Quadratic Residues and Non-Residues by Steve Wright and The Quadratic Reciprocity Law by Oswald Baumgart Edited and translated by Franz Lemmermeyer

Abstract

In his Disquisitiones Arithmeticæ, quoted above, Gauss called it the “fundamental theorem” that “must certainly be regarded as one of the most elegant of its type.”5 In private, he dubbed it the “Theorema Aureum,” the “Golden Theorem.” The law itself, its many proofs, its implications and generalizations, its influence on the advancement of number theory, and the underlying history, are deep and fascinating.