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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

A table of the first factor for prime cyclotomic fields


Author: Morris Newman
Journal: Math. Comp. 24 (1970), 215-219
MSC: Primary 10.66
MathSciNet review: 0257029
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • [1] A. I. Borevich and I. R. Shafarevich, Number theory, Translated from the Russian by Newcomb Greenleaf. Pure and Applied Mathematics, Vol. 20, Academic Press, New York-London, 1966. MR 0195803 (33 #4001)
  • [2] E. Kummer, "Über die Klassenanzahl der aus $ n$ten Einheitswurzeln gebildeten complexen Zahlen," Monatsh. Preuss. Akad. Wiss. Berlin, 1861, pp. 1051-1053.
  • [3] 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

DOI: http://dx.doi.org/10.1090/S0025-5718-1970-0257029-5
PII: S 0025-5718(1970)0257029-5
Keywords: Cyclotomic fields, class numbers, tables, factorizations
Article copyright: © Copyright 1970 American Mathematical Society