Abstract
In this article we identify several beautiful properties of Jacobi sums that become evident when these numbers are organized as a matrix and studied via the tools of linear algebra. In the process we reconsider a convention employed in computing Jacobi sum values by illustrating how these properties become less elegant or disappear entirely when the standard definition for Jacobi sums is utilized. We conclude with a conjecture regarding polynomials that factor in an unexpected manner.
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More From: The American Mathematical Monthly
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