Class numbers of certain real abelian fields

• Autorzy: Jae Moon Kim
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 72
• Numer: 4
• Strony: 335-345

Daty

wydano

1995

otrzymano

1994-08-17

poprawiono

1994-11-02

Twórcy

autor

Jae Moon Kim

• Department of Mathematics, Inha University, Inchon, Korea

Bibliografia

• [1] J. Coates and A. Wiles, On p-adic L-functions and elliptic units, J. Austral. Math. Soc. 26 (1978), 1-25.
• [2] V. Ennola, On relations between cyclotomic units, J. Number Theory 4 (1972), 236-247.
• [3] R. Greenberg, On the Iwasawa invariants of totally real number fields, Amer. J. Math. 98 (1976), 263-284.
• [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.
• [6] J. M. Kim, Coates-Wiles series and Mirimanoff's polynomial, J. Number Theory, to appear.
• [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.
• [10] L. Washington, Introduction to Cyclotomic Fields, Graduate Texts in Math. 83, Springer, New York, 1980