Irregular imaginary fields

Konstantin Selucký; Ladislav Skula

Archivum Mathematicum (1981)

  • Volume: 017, Issue: 2, page 95-112
  • ISSN: 0044-8753

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Selucký, Konstantin, and Skula, Ladislav. "Irregular imaginary fields." Archivum Mathematicum 017.2 (1981): 95-112. <http://eudml.org/doc/18056>.

@article{Selucký1981,
author = {Selucký, Konstantin, Skula, Ladislav},
journal = {Archivum Mathematicum},
keywords = {irregular class group; index of irregularity; cyclotomic fields; Bernoulli number},
language = {eng},
number = {2},
pages = {95-112},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Irregular imaginary fields},
url = {http://eudml.org/doc/18056},
volume = {017},
year = {1981},
}

TY - JOUR
AU - Selucký, Konstantin
AU - Skula, Ladislav
TI - Irregular imaginary fields
JO - Archivum Mathematicum
PY - 1981
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 017
IS - 2
SP - 95
EP - 112
LA - eng
KW - irregular class group; index of irregularity; cyclotomic fields; Bernoulli number
UR - http://eudml.org/doc/18056
ER -

References

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  1. Adachi N., Generalization of Kummer's criterion for divisibility of class numbers, Jouгnal of Number Theoгy, 5 (1973), 253-265. (1973) Zbl0263.12005MR0332715
  2. Caгlitz L., The first factor of the class number ofba cyclic field, Can. J. Math. vol. 6 (1953), 23-26. (1953) 
  3. Narkiewicz W., Elementary and analytic theory of algebraic numbers, Warszawa 1974. (1974) Zbl0276.12002MR0347767
  4. Pollaczek F., Über die irregulären Kreiskörper der l-ten und l 2 -ten Einheitswurzeln, Math. Z. 21 (1924), 1-38. (1924) MR1544682
  5. Ribet K. A., A modulas construction of unramified p-extensions of Q ( μ p ) , Inventiones mathematicae 34 (1976), 151-162. (1976) MR0419403
  6. Vandiver H. S., On the first factor of the class number of a cyciotomic field, Bull. Ameг. Math. Soc., 25 (1918-1919), 458-461. (1918) MR1560224
  7. Wagstaff S. S., Jr., The irregular primes to 125 000, Math. Comp., v. 32 (1978), 583-591 and the more detailed results: personal communication. (1978) MR0491465

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