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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 2024 MCQ for Mathematics of Computation is 1.78.

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A table of the first factor for prime cyclotomic fields
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by Morris Newman PDF
Math. Comp. 24 (1970), 215-219 Request permission

Abstract:

The first factor of the prime cyclotomic fields for all primes $< 200$ is computed by means of a determinantal formula, correcting some errors in tables of Kummer.
References
  • A. I. Borevich and I. R. Shafarevich, Number theory, Pure and Applied Mathematics, Vol. 20, Academic Press, New York-London, 1966. Translated from the Russian by Newcomb Greenleaf. MR 0195803
    • E. Kummer, "Über die Klassenanzahl der aus $n$ten Einheitswurzeln gebildeten complexen Zahlen," Monatsh. Preuss. Akad. Wiss. Berlin, 1861, pp. 1051–1053. E. Kummer, "Über diejenigen Primzahlen $\lambda$, für welche die Klassenzahl der aus $\lambda$ ten Einheitswurzeln gebildeten complexen Zahlen durch $\lambda$ theilbar ist," Monatsh. Preuss. Akad. Wiss. Berlin, 1874, pp. 239–248.
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Additional Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Math. Comp. 24 (1970), 215-219
  • MSC: Primary 10.66
  • DOI: https://doi.org/10.1090/S0025-5718-1970-0257029-5
  • MathSciNet review: 0257029