Solution of small class number problems for cyclotomic fields

John Myron Masley

Compositio Mathematica (1976)

  • Volume: 33, Issue: 2, page 179-186
  • ISSN: 0010-437X

How to cite


Masley, John Myron. "Solution of small class number problems for cyclotomic fields." Compositio Mathematica 33.2 (1976): 179-186. <>.

author = {Masley, John Myron},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {179-186},
publisher = {Noordhoff International Publishing},
title = {Solution of small class number problems for cyclotomic fields},
url = {},
volume = {33},
year = {1976},

AU - Masley, John Myron
TI - Solution of small class number problems for cyclotomic fields
JO - Compositio Mathematica
PY - 1976
PB - Noordhoff International Publishing
VL - 33
IS - 2
SP - 179
EP - 186
LA - eng
UR -
ER -


  1. [1] H. Bauer: Numerische Bestimmung von Klassenzahlen reeller zyklischer Zahlkorper. J. of Number Theory1 (1969) 161-162. Zbl0167.32301MR240072
  2. [2] H. Hasse: Arithmetische Bestimmung von Grundeinheit und Klassenzahl in zyklischen kubischen und biquadratischen Zahlkorpern. Abh. Deutsche Akad. Wiss.1948, Nr. 2 (1950). Zbl0035.30502MR33863
  3. [3] H. Hasse: Uber die Klassenzahl abelscher Zahlkorper. Akademie Verlag, 1952. Zbl0046.26003MR49239
  4. [4] K. Iwasawa: A note on class numbers of algebraic number fields. Abh. Math. Sem. Univ. Hamburg20 (1956) 257-258. Zbl0074.03002MR83013
  5. [5] J. Masley: On the class number of cyclotomic fields. Dissertation, Princeton Univ., 1972. 
  6. [6] J. Masley: Solution of the class number two problem for cyclotomic fields. Inventiones Math.25 (1975). MR369319
  7. [7] J. Masley and H.L. Montgomery: Unique factorization in cyclotomic fields. To appear in Crelle's Journal. Zbl0335.12013
  8. [8] T. Metsankyla: On the growth of the first factor of the cyclotomic class number. Ann. Univ. Turku, Ser. AI155 (1972). Zbl0239.12008MR330103
  9. [9] M. Newman: A table of the first factor for prime cyclotomic fields. Math. Comp.24 (1970) 215-219. Zbl0198.36902MR257029
  10. [10] G. Schrutka V. Rechtenstamm: Tabelle der (relativ-)Klassenzahlen von Kreiskorper. Abh. Deutsche Akad. Wiss. Berlin, 1964Math Nat. Kl. Nr. 2. Zbl0199.09803MR167646
  11. [11] A. Yokoyama: On class numbers of finite algebraic number fields. Tohoku Math J., 17 (1965) 349-357. Zbl0139.28202MR190132
  12. [H] H. Hasse: Zahlentheorie. Akademie Verlag, Berlin, 3rd edition, 1969, p. 591. Zbl0035.02002MR253972

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