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

DOI:
https://doi.org/10.1090/S0025-5718-1979-0521298-2

MathSciNet review:
521298

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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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Additional Information

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