Generalizing Gauss’s Gem

Gauss’s Cyclotomic Formula is extended to a formula withpvariables, wherepis 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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Bibliographic Details
Published in:	The American mathematical monthly Vol. 119; no. 7; pp. 597 - 601
Main Authors:	Ezra Brown, Marc Chamberland
Format:	Journal Article
Language:	English
Published:	Mathematical Association of America 01-08-2012
Subjects:	Coefficients Integers Mathematical theorems Mathematical vectors Polynomials
Online Access:	Get full text
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Description
Summary:	Gauss’s Cyclotomic Formula is extended to a formula withpvariables, wherepis an odd prime. This new formula involves the determinant of a circulant matrix. An application involving the Wendt determinant is given.
ISSN:	0002-9890 1930-0972
DOI:	10.4169/amer.math.monthly.119.07.597