On Hilbert-Speiser type imaginary quadratic fields
Humio Ichimura, Hiroki Sumida-Takahashi (2009)
Acta Arithmetica
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Displaying similar documents to “Arf equivalence II”
On Hilbert-Speiser type imaginary quadratic fields
On certain infinite families of imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1
Akiko Ito (2015)
Acta Arithmetica
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Let p be an odd prime number. We prove the existence of certain infinite families of imaginary quadratic fields in which p splits and for which the Iwasawa λ-invariant of the cyclotomic ℤₚ-extension is equal to 1.
Imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1
Dongho Byeon (2005)
Acta Arithmetica
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Quadratic pairs in characteristic 2 and the Witt cancellation theorem.
Elomary, Mohamed Abdou (2003)
International Journal of Mathematics and Mathematical Sciences
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Quadratic fields with infinite Hilbert 2-class field towers
Frank Gerth III (2003)
Acta Arithmetica
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Note on a product formula for the Bayad function and a law of quadratic reciprocity
Heima Hayashi (2011)
Acta Arithmetica
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Quadratic Forms and the u-Invariant. I.
Richard Elman, Tsit-Yuen Lam (1973)
Mathematische Zeitschrift
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On Rank 4 Quadratic Spaces with Given Arf and Witt Invariants.
R. Sridharan, M.-A. Knus, R. Parimala (1986)
Mathematische Annalen
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Dualization in algebraic K-theory and the invariant e¹ of quadratic forms over schemes
Marek Szyjewski (2011)
Fundamenta Mathematicae
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In the classical Witt theory over a field F, the study of quadratic forms begins with two simple invariants: the dimension of a form modulo 2, called the dimension index and denoted e⁰: W(F) → ℤ/2, and the discriminant e¹ with values in k₁(F) = F*/F*², which behaves well on the fundamental ideal I(F)= ker(e⁰). Here a more sophisticated situation is considered, of quadratic forms over a scheme and, more generally, over an exact category with duality. Our purposes are: ...
Elements of order 4 of the Hilbert kernel in quadratic number fields
Qin Yue (2001)
Acta Arithmetica
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Some new evaluations of the Legendre symbol ((a+b√q)/p)
Lerna Pehlivan, Kenneth S. Williams (2015)
Acta Arithmetica
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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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The mapping by heights for quadratic differentials in the disk.
Strebel, Kurt (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Quadratic functions in several variables
Vladimir Janković (2005)
The Teaching of Mathematics
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Quadratic Forms and the ?-Invariant. II.
Richard Elman, T.Y. Lam (1973)
Inventiones mathematicae
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The u-invariant of fields with 16 and 32 square classes I
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.