The cyclotomic numbers of order sixteen

Author:

Evans Ronald J.,Hill Jay Roderick

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference19 articles.

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2. The cyclotomic numbers of order eighteen with applications to difference sets;Baumert, L. D.;Math. Comp.,1967

3. Sums of Gauss, Jacobi, and Jacobsthal;Berndt, Bruce C.;J. Number Theory,1979

4. Sums of Gauss, Eisenstein, Jacobi, Jacobsthal, and Brewer;Berndt, Bruce C.;Illinois J. Math.,1979

5. Cyclotomy, Higher Congruences, and Waring’s Problem;Dickson, L. E.;Amer. J. Math.,1935

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1. Cyclotomic Numbers and Jacobi Sums: A Survey;Class Groups of Number Fields and Related Topics;2020

2. Complete solution to cyclotomy of order $$2l^{2}$$ with prime l;The Ramanujan Journal;2019-10-25

3. Lamʼs power residue addition sets;Advances in Applied Mathematics;2011-01

4. Bibliography;North-Holland Mathematical Library;2004

5. THE CYCLOTOMIC NUMBERS OF ORDER 15;MATH COMPUT;1987

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