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Generalizing Gauss’s Gem

Ezra Brown and Marc Chamberland
The American Mathematical Monthly
Vol. 119, No. 7 (August‒September 2012), pp. 597-601
DOI: 10.4169/amer.math.monthly.119.07.597
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.119.07.597
Page Count: 5
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Generalizing Gauss’s Gem
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Abstract

Abstract Gauss’s Cyclotomic Formula is extended to a formula with p variables, where p is an odd prime. This new formula involves the determinant of a circulant matrix. An application involving the Wendt determinant is given.

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