# Class numbers of certain real abelian fields

Acta Arithmetica (1995)

- Volume: 72, Issue: 4, page 335-345
- ISSN: 0065-1036

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top## How to cite

topJae Moon Kim. "Class numbers of certain real abelian fields." Acta Arithmetica 72.4 (1995): 335-345. <http://eudml.org/doc/206800>.

@article{JaeMoonKim1995,

author = {Jae Moon Kim},

journal = {Acta Arithmetica},

keywords = {class numbers; real abelian fields},

language = {eng},

number = {4},

pages = {335-345},

title = {Class numbers of certain real abelian fields},

url = {http://eudml.org/doc/206800},

volume = {72},

year = {1995},

}

TY - JOUR

AU - Jae Moon Kim

TI - Class numbers of certain real abelian fields

JO - Acta Arithmetica

PY - 1995

VL - 72

IS - 4

SP - 335

EP - 345

LA - eng

KW - class numbers; real abelian fields

UR - http://eudml.org/doc/206800

ER -

## References

top- [1] J. Coates and A. Wiles, On p-adic L-functions and elliptic units, J. Austral. Math. Soc. 26 (1978), 1-25. Zbl0442.12007
- [2] V. Ennola, On relations between cyclotomic units, J. Number Theory 4 (1972), 236-247. Zbl0236.12005
- [3] R. Greenberg, On the Iwasawa invariants of totally real number fields, Amer. J. Math. 98 (1976), 263-284. Zbl0334.12013
- [4] K. Iwasawa, On cohomology groups of units for ℤₚ-extensions, Amer. J. Math. 105 (1983), 189-200.
- [5] J. M. Kim, Cohomology groups of cyclotomic units, J. Algebra 152 (1992), 514-519. Zbl0776.11066
- [6] J. M. Kim, Coates-Wiles series and Mirimanoff's polynomial, J. Number Theory, to appear. Zbl0842.11038
- [7] J. M. Kim, Units and cyclotomic units in ℤₚ-extensions, Nagoya Math. J. (1995), to appear.
- [8] P. Ribenboim, 13 Lectures on Fermat's Last Theorem, Springer, New York, 1972.
- [9] W. Sinnott, On the Stickelberger ideal and the circular units of a cyclotomic field, Ann. of Math. 108 (1978), 107-134. Zbl0395.12014
- [10] L. Washington, Introduction to Cyclotomic Fields, Graduate Texts in Math. 83, Springer, New York, 1980

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