On the trace map between absolutely abelian number fields of equal conductor
Henri Johnston (2006)
Acta Arithmetica
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Henri Johnston (2006)
Acta Arithmetica
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Ku-Young Chang, Soun-Hi Kwon (2002)
Acta Arithmetica
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Young-Ho Park (2002)
Acta Arithmetica
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Louboutin, Stéphane (1998)
Experimental Mathematics
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Stéphane Louboutin (1996)
Manuscripta mathematica
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Keiji Okano (2006)
Acta Arithmetica
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Mikihito Hirabayashi, Ken-ichi Yoshino (1989)
Manuscripta mathematica
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Ku-Young Chang, Soun-Hi Kwon (2000)
Journal de théorie des nombres de Bordeaux
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We know that there exist only finitely many imaginary abelian number fields with class numbers equal to their genus class numbers. Such non-quadratic cyclic number fields are completely determined in [Lou2,4] and [CK]. In this paper we determine all non-cyclic abelian number fields with class numbers equal to their genus class numbers, thus the one class in each genus problem is solved, except for the imaginary quadratic number fields.
Young-Ho Park, Soun-Hi Kwon (1997)
Acta Arithmetica
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Ichiro Miyada (1995)
Manuscripta mathematica
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Ryan C. Daileda (2006)
Acta Arithmetica
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Manabu Ozaki, Hisao Taya (1995)
Manuscripta mathematica
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K. Ramachandra (1969)
Journal für die reine und angewandte Mathematik
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A. Fröhlich (1992)
Journal für die reine und angewandte Mathematik
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Kurt Girstmair (1993)
Acta Arithmetica
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Mikihito Hirabayashi, Ken-ichi Yoshino (1988)
Manuscripta mathematica
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Stanislav Jakubec (2010)
Acta Arithmetica
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