On infinite unramified Galois extensions of algebraic number fields with many primes decomposing almost completely

Ken YAMAMURA

doi:10.2969/jmsj/03840599

Ken YAMAMURA

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ジャーナルフリー

1986 年 38 巻 4 号 p. 599-605

DOI https://doi.org/10.2969/jmsj/03840599

詳細

Published: 1986 Received: 1985/02/26 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) Y. Ihara, The congruence monodromy problems, J. Math. Soc. Japan, 20 (1968), 107-121.
2) Y. Ihara, Non-abelian classfields over function fields in special cases, Actes du Congrès Internat. Math. Nice 1970, Tome 1, Gauthier-Villars, Paris, pp. 381-389.
3) Y. Ihara, Congruence relations and Shimura curves, Proc. Sympos. Pure Math., 33, Vol. 2, Amer. Math. Soc., 1979, pp. 291-311; II, J. Fac. Sci. Univ. Tokyo Sect. IA, 25 (1979), 301-361.
4) Y. Ihara, On unramified extensions of function field over finite fields, Advanced Studies in Pure Math., 2, (the Proc. of Nagoya Symposium on Galois group and their applications 1981), Kinokuniya, Tokyo, 1983, pp. 89-97.
5) Y. Ihara, How many primes decompose completely in an infinite unramified Galois extension of a global field?, J. Math. Soc. Japan, 35 (1983), 683-709.
6) J. Martinet, Tour de corps de classes et estimations de discriminants, Invent. Math., 44 (1978), 65-73.
7) P. Roquette, On class field towers, Algebraic Number Theory (Proc. of Instr. Conf. 1967), ed. Cassels and Fröhlich, Academic Press, pp. 231-249.
8) K. Yamamura, On unramified extensions of algebraic number fields, Master's thesis, Univ. of Tokyo, 1984.
9) H. Wada, A Table of Ideal Class Numbers of Real Quadratic Fields, Lecture Notes in Math., 10, Sophia Univ., 1981.

Right : [1] Y. Ihara, The congruence monodromy problems, J. Math. Soc. Japan, 20 (1968), 107-121.
[2] Y. Ihara, Non-abelian classfields over function fields in special cases, Actes du Congrès Internat. Math. Nice 1970, Tome 1, Gauthier-Villars, Paris, pp. 381-389.
[3] Y. Ihara, Congruence relations and Shimura curves, Proc. Sympos. Pure Math., 33, Vol. 2, Amer. Math. Soc., 1979, pp. 291-311; II, J. Fac. Sci. Univ. Tokyo Sect. IA, 25 (1979), 301-361.
[4] Y. Ihara, On unramified extensions of function field over finite fields, Advanced Studies in Pure Math., 2, (the Proc. of Nagoya Symposium on Galois group and their applications 1981), Kinokuniya, Tokyo, 1983, pp. 89-97.
[5] Y. Ihara, How many primes decompose completely in an infinite unramified Galois extension of a global field?, J. Math. Soc. Japan, 35 (1983), 683-709.
[6] J. Martinet, Tour de corps de classes et estimations de discriminants, Invent. Math., 44 (1978), 65-73.
[7] P. Roquette, On class field towers, Algebraic Number Theory (Proc. of Instr. Conf. 1967), ed. Cassels and Fröhlich, Academic Press, pp. 231-249.
[8] K. Yamamura, On unramified extensions of algebraic number fields, Master's thesis, Univ. of Tokyo, 1984.
[9] H. Wada, A Table of Ideal Class Numbers of Real Quadratic Fields, Lecture Notes in Math., 10, Sophia Univ., 1981.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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