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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Cyclotomy with short periods
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by D. H. Lehmer and Emma Lehmer PDF
Math. Comp. 41 (1983), 743-758 Request permission

Abstract:

This paper develops cyclotomy for periods of lengths 2, 3 and 4 for moduli which are primes and products of two primes.
References
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  • D. H. Lehmer, The Tarry-Escott problem, Scripta Math. 13 (1947), 37–41. MR 21550
  • D. H. Lehmer & Emma Lehmer, Cyclotomy for Non-Square free Moduli, Lecture Notes in Math., Vol. 899, Springer-Verlag, Berlin and New York, 1981, pp. 276-300.
  • D. H. Lehmer and Emma Lehmer, Properties of polynomials having Fibonacci numbers for coefficients, Fibonacci Quart. 21 (1983), no. 1, 62–64. MR 696680
  • J. J. Sylvester, "On certain ternary cubic equations," Collected Papers, Vol. 3, Cambridge, 1909, pp. 325-339; Amer. J. Math., v. 2, 1879, pp. 357-381.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Math. Comp. 41 (1983), 743-758
  • MSC: Primary 10G05; Secondary 10A40, 12C20
  • DOI: https://doi.org/10.1090/S0025-5718-1983-0717718-1
  • MathSciNet review: 717718