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Mathematics of Computation

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The cyclotomic numbers of order sixteen


Authors: Ronald J. Evans and Jay Roderick Hill
Journal: Math. Comp. 33 (1979), 827-835
MSC: Primary 10G15; Secondary 10A40, 12C20
MathSciNet review: 521298
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Abstract: A complete table of 408 formulas for cyclotomic numbers of order sixteen is presented. Each number is expressed as a linear combination of parameters of quartic, octic, and bioctic Jacobi sums. Recent applications of these formulas are discussed.


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DOI: https://doi.org/10.1090/S0025-5718-1979-0521298-2
Keywords: Cyclotomic numbers of order sixteen, Jacobi sums, Jacobsthal sums, sign ambiguities
Article copyright: © Copyright 1979 American Mathematical Society