On the Iwasawa λ-invariants of quaternion extensions

• Autorzy: Keiichi Komatsu
• Języki publikacji: EN

Kategorie tematyczne

• 11R23: Iwasawa theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998-1999
• Tom: 87
• Numer: 3
• Strony: 219-221

Daty

wydano

1999

otrzymano

1997-05-22

poprawiono

1998-09-21

Twórcy

autor

Keiichi Komatsu

• Department of Information and Computer Science, School of Science and Engineering, Wasada University, 3-4-1 Okubo, Shinjuku, Tokyo 169-8555 Japan

Bibliografia

• [1] T. Fukuda and K. Komatsu, On $ℤ_p$-extensions of real quadratic fields, J. Math. Soc. Japan 38 (1986), 95-102.
• [2] T. Fukuda, K. Komatsu, M. Ozaki and H. Taya, Iwasawa $λ_p$-invariants of relative cyclic extensions of degree p, Tokyo J. Math. 20 (1997), 475-480.
• [3] T. Fukuda and H. Taya, The Iwasawa λ-invariants of $ℤ_p$-extensions of real quadratic fields, Acta Arith. 69 (1995), 277-292.
• [4] R. Greenberg, On the Iwasawa invariants of totally real number fields, Amer. J. Math. 98 (1976), 263-284.
• [5] H. Ichimura and H. Sumida, On the Iwasawa λ-invariants of certain real abelian fields, to appear.
• [6] H. Ichimura and H. Sumida, On the Iwasawa λ-invariants of certain real abelian fields II, to appear.
• [7] K. Iwasawa, A note on capitulation problem for number fields II, Proc. Japan Acad. 65 (1989), 183-186.
• [8] J. S. Kraft and R. Schoof, Computing Iwasawa modules of real quadratic number fields, Compositio Math. 97 (1995), 135-155.
• [9] M. Ozaki and H. Taya, On the Iwasawa λ₂-invariants of certain families of real quadratic fields, submitted for publication (1996).