On the group of circular units of any compositum of quadratic fields
Zdeněk Polický (2009)
Acta Arithmetica
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Displaying similar documents to “The distribution of the fundamental units of real quadratic fields”
On the group of circular units of any compositum of quadratic fields
Localised Bombieri-Vinogradov theorems in imaginary quadratic fields
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Acta Arithmetica
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Radan Kučera (2010)
Acta Arithmetica
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Class number divisibility of relative quadratic function fields
Yoonjin Lee (2006)
Acta Arithmetica
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Acta Arithmetica
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A. E. Özlük, C. Snyder (2006)
Acta Arithmetica
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Class number formulae for imaginary quadratic fields.
R.W. Davis (1976)
Journal für die reine und angewandte Mathematik
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Subrings in imaginary quadratic fields which are not universal for GE₂
Sheng Chen, Hong You (2003)
Acta Arithmetica
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Correction to "A note on the existence of certain infinite families of imaginary quadratic fields" (Acta Arith. 110 (2003), 37-43)
Iwao Kimura (2004)
Acta Arithmetica
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The class number one problem for the real quadratic fields ℚ(√((an)²+4a))
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.
A note on the existence of certain infinite families of imaginary quadratic fields
Iwao Kimura (2003)
Acta Arithmetica
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The number of real quadratic fields having units of negative norm.
Stevenhagen, Peter (1993)
Experimental Mathematics
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An infinite family of pairs of quadratic fields ℚ(√D) and ℚ(√mD) whose class numbers are both divisible by 3
Toru Komatsu (2002)
Acta Arithmetica
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Indivisibility of class numbers of imaginary quadratic function fields
Dongho Byeon (2008)
Acta Arithmetica
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Some quartic number fields containing an imaginary quadratic subfield
Stéphane R. Louboutin (2011)
Colloquium Mathematicae
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Let ε be a quartic algebraic unit. We give necessary and sufficient conditions for (i) the quartic number field K = ℚ(ε) to contain an imaginary quadratic subfield, and (ii) for the ring of algebraic integers of K to be equal to ℤ[ε]. We also prove that the class number of such K's goes to infinity effectively with the discriminant of K.
A family of infinite pairs of quadratic fields ℚ(√D) and ℚ(√-D) whose class numbers are both divisible by 3
Toru Komatsu (2001)
Acta Arithmetica
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Infinite 2-class field towers of some imaginary quadratic number fields
Yutaka Sueyoshi (2004)
Acta Arithmetica
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The structure of the tame kernels of quadratic number fields (II)
Xiaobin Yin, Hourong Qin, Qunsheng Zhu (2005)
Acta Arithmetica
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Shimura's mass formula for an orthogonal group over real quadratic fields
Manabu Murata (2006)
Acta Arithmetica
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