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1996 | 74 | 2 | 121-140
Tytuł artykułu

Corps quadratiques à corps de classes de Hilbert principaux et à multiplication complexe

Treść / Zawartość
Warianty tytułu
Języki publikacji
FR
Abstrakty
Słowa kluczowe
Czasopismo
Rocznik
Tom
74
Numer
2
Strony
121-140
Opis fizyczny
Daty
wydano
1996
otrzymano
1994-12-19
Twórcy
  • Département de Mathématiques, Université de Caen, U.F.R. Sciences, Esplanade de la Paix, 14032 Caen Cedex, France
Bibliografia
  • [Coh] H. Cohen, A Course in Computational Algebraic Number Theory, Springer, 1994.
  • [C-C] H. Cohn and G. Cooke, Parametric form of an eight class field, Acta Arith. 30 (1976), 367-377.
  • [Cox] D. A. Cox, Primes of the Form x²+ny², Wiley, 1989.
  • [D-P] P. Damey et J. J. Payan, Existence et construction des extensions galoisiennes et non abéliennes de degré 8 d'un corps de caractéristique différente de 2, J. Reine Angew. Math. 244 (1970), 37-54.
  • [Hal] M. Hall, The Theory of Groups, Chapter 12, Macmillan, New York, 1959.
  • [Hof] J. Hoffstein, Some analytic bounds for zeta functions and class numbers, Invent. Math. 55 (1979), 37-47.
  • [Lou 1] S. Louboutin, Norme relative de l'unité fondamentale et 2-rang du groupe des classes d'idéaux de certains corps biquadratiques, Acta Arith. 58 (1991), 273-288.
  • [Lou 2] S. Louboutin, Calcul des nombres de classes relatifs de certains corps de classes de Hilbert, C. R. Acad. Sci. Paris 319 (1994), 321-325.
  • [Lou 3] S. Louboutin, Determination of all quaternion octic CM-fields with class number two, J. London Math. Soc., to appear.
  • [Lou-Oka] S. Louboutin and R. Okazaki, Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one, Acta Arith. 67 (1994), 47-62.
  • [M-M] J. M. Masley and H. L. Montgomery, Cyclotomic fields with unique factorization, J. Reine Angew. Math. 286/287 (1976), 248-256.
  • [M-W] H. L. Montgomery and P. J. Weinberger, Notes on small class numbers, Acta Arith. 24 (1974), 529-542.
  • [Odl 1] A. M. Odlyzko, Some analytic estimates of class numbers and discriminants, Invent. Math. 29 (1975), 275-286.
  • [Odl 2] A. M. Odlyzko, On conductors and discriminants, in: Algebraic Number Fields: L-functions and Galois Properties, Proc. Sympos., Univ. Durham, Durham 1975, Academic Press, London, 1977, 377-407.
  • [S-P-D] A. Schwarz, M. Pohst and F. Diaz y Diaz, A table of quintic number fields, Math. Comp. 63 (1994), 361-376.
  • [Sta 1] H. M. Stark, A complete determination of the complex quadratic fields of class-number one, Michigan Math. J. 14 (1967), 1-27.
  • [Sta 2] H. M. Stark, On complex quadratic fields with class-number two, Math. Comp. 29 (1975), 289-302.
  • [Uch 1] K. Uchida, Imaginary abelian number fields with class number one, Tôhoku Math. J. 24 (1972), 487-499.
  • [Uch 2] K. Uchida, Imaginary abelian number fields of degrees $2^m$ with class number one, in: Class Numbers and Fundamental Units of Algebraic Number Fields, Proc. Internat. Conf. Katata/Jap., 1986, 151-170.
  • [Wa] L. C. Washington, Introduction to Cyclotomic Fields, Graduate Texts in Math. 83, Springer, 1982.
  • [W-B] H. C. Williams and J. Broere, A computational technique for evaluating L(1,χ) and the class number of a real quadratic field, Math. Comp. 30 (1976), 887-893.
  • [Yam] K. Yamamura, The determination of the imaginary abelian number fields with class-number one, Math. Comp. 62 (1994), 899-921.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-aav74i2p121bwm
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