On the parity of the class numbers of real abelian fields

Tauno Metsänkylä

Acta Mathematica et Informatica Universitatis Ostraviensis (1998)

  • Volume: 06, Issue: 1, page 159-166
  • ISSN: 1804-1388

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Metsänkylä, Tauno. "On the parity of the class numbers of real abelian fields." Acta Mathematica et Informatica Universitatis Ostraviensis 06.1 (1998): 159-166. <http://eudml.org/doc/23809>.

@article{Metsänkylä1998,
author = {Metsänkylä, Tauno},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {cyclotomic field; abelian field; class number},
language = {eng},
number = {1},
pages = {159-166},
publisher = {University of Ostrava},
title = {On the parity of the class numbers of real abelian fields},
url = {http://eudml.org/doc/23809},
volume = {06},
year = {1998},
}

TY - JOUR
AU - Metsänkylä, Tauno
TI - On the parity of the class numbers of real abelian fields
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 1998
PB - University of Ostrava
VL - 06
IS - 1
SP - 159
EP - 166
LA - eng
KW - cyclotomic field; abelian field; class number
UR - http://eudml.org/doc/23809
ER -

References

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  1. D. Davis, 10.1016/0022-314X(78)90002-1, J. Number Theory 10 (1978), no. 1, 1-9. (1978) Zbl0369.12002MR0476695DOI10.1016/0022-314X(78)90002-1
  2. K. Feng, An elementary criterion on parity of class number of cyclic number field, Sci. Sin., Ser. A 25 (1982), no. 10, 1032-1041. (1982) Zbl0523.12006MR0690929
  3. D. A. Garbanati, Unit signatures, and even class numbers, and relative class numbers, J. Reine Angew. Math. 274/275 (1975), 376-384. (1975) MR0376612
  4. H. Hasse, Über die Klassenzahl abelscher Zahlkorper, Akademie-Verlag, Berlin, 1952; Nachdruck: Springer-Verlag, Berlin-New York-Tokyo, 1985. (1952) 
  5. S. Jakubec, 10.1007/BF02941333, Abh. Math. Sem. Univ. Hamburg 63 (1993), 67-86. (1993) Zbl0788.11052MR1227865DOI10.1007/BF02941333
  6. T. Metsankyla, 10.1007/BF02677487, Manuscr. Math. 93 (1997), no. 4, 481-498. (1997) MR1465893DOI10.1007/BF02677487
  7. T. Metsankyla, Some divisibility results for the cyclotomic class number, Tatra Mt. Math. Publ. 11 (1997), 59-68. (1997) MR1475505
  8. M. A. Shokrollahi, Relative class number of abelian CM-fields of prime conductor below 10000, manuscript. 
  9. L. C. Washington, Introduction to Cyclotomic Fields, 2nd ed., Springer- Verlag, New York-Berlin- Heidelberg, 1996. (1996) MR1421575

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