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On the exponents of ideal class groups of CM-fields

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Analytic Number Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1434))

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References

  1. Boyd, D. W., Kisilevsky, H.: On the exponent of the ideal class group of complex quadratic fields. Proc. Amer. Math. Soc. 31, 433–436 (1971)

    MathSciNet  MATH  Google Scholar 

  2. Brauer, R.: On the zeta-functions of algebraic number fields. Amer. J. Math. 69, 243–250 (1947)

    Article  MathSciNet  MATH  Google Scholar 

  3. Chowla, S.: An extension of Heilbronn’s class-number theorem. Quart. J. Math. 5, 304–307 (1934)

    Article  MATH  Google Scholar 

  4. Earnest, A. G.: Exponents of class groups of imaginary abelian number fields. Bull. Austral. Math. Soc. 35, 231–245 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  5. Earnest, A. G.: Finiteness theorems for number fields having class groups of given 2-power exponent. In: Mollin, R. A. (ed.) Number theory and applications. Proceedings, Banff Centre 1988. (NATO ASI Series C, vol. 265, pp. 373–380) Dordrecht Boston London: Kluwer Academic 1989

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  6. Earnest, A. G., Körner, O. H.: On ideal class group of 2-power exponent. Proc. Amer. Math. Soc. 86, 196–198 (1982)

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  7. Horie, K., Horie, M.: CM-fields and exponents of their ideal class groups. Acta Arith. 55 (to appear)

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  8. Horie (née Hamamura), M.: On absolute class fields of certain algebraic number fields. Nat. Sci. Rep. Ochanomizu Univ. 32, 23–34 (1981)

    MathSciNet  MATH  Google Scholar 

  9. Iwasawa, K.: A note on class numbers of algebraic number fields. Abh. Math. Sem. Univ. Hamburg 20, 257–258 (1956)

    MathSciNet  MATH  Google Scholar 

  10. Stark, H. M.: Some effective cases of the Brauer-Siegel theorem. Invent. math. 23, 135–152 (1974)

    Article  MathSciNet  MATH  Google Scholar 

  11. Uchida, K.: Imaginary abelian number fields of degrees 2m with class number one. In: Proceedings of the international conference on class numbers and fundamental units of algebraic number fields, Katata 1986. (pp. 151–170)

    Google Scholar 

  12. Weinberger, P. J.: Exponents of the class groups of complex quadratic fields. Acta Arith. 22, 117–124 (1973)

    MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics (Kyoyobu), Yamaguchi University, 753, Yoshida, Yamaguchi, Japan

    Kuniaki Horie

  2. Department of Mathematics, Kyushu University, Hakozaki, 812, Fukuoka, Japan

    Mitsuko Horie

Authors
  1. Kuniaki Horie
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  2. Mitsuko Horie
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Kenji Nagasaka Etienne Fouvry

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© 1990 Springer-Verlag

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Horie, K., Horie, M. (1990). On the exponents of ideal class groups of CM-fields. In: Nagasaka, K., Fouvry, E. (eds) Analytic Number Theory. Lecture Notes in Mathematics, vol 1434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097131

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  • DOI: https://doi.org/10.1007/BFb0097131

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52787-9

  • Online ISBN: 978-3-540-47147-9

  • eBook Packages: Springer Book Archive

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