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The Quadratic Gauss Sum Redux

David Grant
The American Mathematical Monthly
Vol. 121, No. 2 (February 2014), pp. 145-149
DOI: 10.4169/amer.math.monthly.121.02.145
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Page Count: 5
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The Quadratic Gauss Sum Redux
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Abstract The purpose of this note is to present a variety of proofs of \documentclass{article} \pagestyle{empty}\begin{document} $$g^2 = \left( \frac{-1}{p} \right) p$$ \end{document} (some well known and others perhaps less so), using techniques from different branches of number theory, each providing its own insight.

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