Class number calculation of a quartic field from the elliptic unit
Ken Nakamula (1985)
Acta Arithmetica
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Ken Nakamula (1985)
Acta Arithmetica
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Ken Nakamula (1985)
Acta Arithmetica
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Beno Eckmann, Guido Mislin (1981)
Compositio Mathematica
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J. E. Carroll, H. Kisilevsky (1976)
Compositio Mathematica
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Daniel Shanks, Peter Weinberger (1972)
Acta Arithmetica
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Heima Hayashi (1984)
Acta Arithmetica
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Ken Yamamura (1997)
Journal de théorie des nombres de Bordeaux
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We determine the structures of the Galois groups Gal of the maximal unramified extensions of imaginary quadratic number fields of conductors under the Generalized Riemann Hypothesis). For all such , is , the Hilbert class field of , the second Hilbert class field of , or the third Hilbert class field of . The use of Odlyzko’s discriminant bounds and information on the structure of class groups obtained by using the action of Galois groups on class groups is essential. We...
Heima Hayashi (1988)
Acta Arithmetica
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Kuang-Yen Shih (1978)
Compositio Mathematica
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