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A table of the first factor for prime cyclotomic fields


Author: Morris Newman
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
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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?)

  • 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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Keywords: Cyclotomic fields, class numbers, tables, factorizations
Article copyright: © Copyright 1970 American Mathematical Society