Class numbers of certain real abelian fields

Jae Moon Kim

Acta Arithmetica (1995)

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

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Jae 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

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

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