Imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1
Dongho Byeon (2005)
Acta Arithmetica
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Dongho Byeon (2005)
Acta Arithmetica
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Iwao Kimura (2003)
Acta Arithmetica
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Radan Kučera (2010)
Acta Arithmetica
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K. Horie (1987)
Inventiones mathematicae
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Toru Komatsu (2002)
Acta Arithmetica
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Toru Komatsu (2001)
Acta Arithmetica
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Yoonjin Lee (2006)
Acta Arithmetica
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András Biró, Kostadinka Lapkova (2016)
Acta Arithmetica
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We solve unconditionally the class number one problem for the 2-parameter family of real quadratic fields ℚ(√d) with square-free discriminant d = (an)²+4a for positive odd integers a and n.
Humio Ichimura, Hiroki Sumida-Takahashi (2007)
Acta Arithmetica
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Sheng Chen, Hong You (2003)
Acta Arithmetica
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Kostadinka Lapkova (2012)
Acta Arithmetica
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Yutaka Sueyoshi (2004)
Acta Arithmetica
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Iwao Kimura (2004)
Acta Arithmetica
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R.W. Davis (1976)
Journal für die reine und angewandte Mathematik
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Mark Coleman, Andrew Swallow (2005)
Acta Arithmetica
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Dongho Byeon (2008)
Acta Arithmetica
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Zdeněk Polický (2009)
Acta Arithmetica
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Jae Moon Kim, Seung Ik Oh (2000)
Acta Arithmetica
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Xiaobin Yin, Hourong Qin, Qunsheng Zhu (2005)
Acta Arithmetica
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Manabu Murata (2006)
Acta Arithmetica
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Bronisława Błaszczyk (1980)
Annales Polonici Mathematici
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We discuss here the conjectures of Kaplansky and of Lam concerning the ii-univariant of a field of characteristic different from two. Both conjectures are shown t.o hold true for any field having at most 32 square classes.