On annihilators of the class group of an imaginary compositum of quadratic fields
Radan Kučera (2010)
Acta Arithmetica
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Displaying similar documents to “On the group of circular units of any compositum of quadratic fields”
On annihilators of the class group of an imaginary compositum of quadratic fields
Class number one problem for real quadratic fields of a certain type
Kostadinka Lapkova (2012)
Acta Arithmetica
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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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A note on the existence of certain infinite families of imaginary quadratic fields
Iwao Kimura (2003)
Acta Arithmetica
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Localised Bombieri-Vinogradov theorems in imaginary quadratic fields
Mark Coleman, Andrew Swallow (2005)
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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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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The number of real quadratic fields having units of negative norm.
Stevenhagen, Peter (1993)
Experimental Mathematics
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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 structure of the tame kernels of quadratic number fields (II)
Xiaobin Yin, Hourong Qin, Qunsheng Zhu (2005)
Acta Arithmetica
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Class number divisibility of relative quadratic function fields
Yoonjin Lee (2006)
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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Shimura's mass formula for an orthogonal group over real quadratic fields
Manabu Murata (2006)
Acta Arithmetica
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Factorization of natural numbers in some quadratic number fields
W. Narkiewicz (1967)
Colloquium Mathematicae
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Class number and factorization in quadratic number fields
W. Narkiewicz (1967)
Colloquium Mathematicae
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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.
Indivisibility of class numbers of imaginary quadratic function fields
Dongho Byeon (2008)
Acta Arithmetica
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Parameterized families of quadratic number fields with 3-rank at least 2
Carl Erickson, Nathan Kaplan, Neil Mendoza, Allison M. Pacelli, Todd Shayler (2007)
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.
Imaginary quadratic fields satisfying the Hilbert-Speiser type condition for a small prime p
Humio Ichimura, Hiroki Sumida-Takahashi (2007)
Acta Arithmetica
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Class fields towers of imaginary quadratic fields.
Robert Gold, James R. Brink (1986/87)
Manuscripta mathematica
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