The u-invariant of fields with 16 and 32 square classes I

Bronisława Błaszczyk

Displaying similar documents to “The u-invariant of fields with 16 and 32 square classes I”

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 forms over fields with u = q/2 < + ∞

Craig Cordes, John Ramsey (1978)

Fundamenta Mathematicae

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Indivisibility of class numbers of imaginary quadratic function fields

Dongho Byeon (2008)

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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Class number divisibility of relative quadratic function fields

Yoonjin Lee (2006)

Acta Arithmetica

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Ten problems on quadratic forms

Kazimierz Szymiczek (2002)

Acta Mathematica et Informatica Universitatis Ostraviensis

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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.

u-invariants of fields of characteristic 2.

A.R. Wadsworth, P. Mammone, R. Moresi (1991)

Mathematische Zeitschrift

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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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The image of the natural homomorphism of Witt rings of orders in a global field

Beata Rothkegel (2013)

Acta Arithmetica

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Let R be a Dedekind domain whose field of fractions is a global field. Moreover, let 𝓞 < R be an order. We examine the image of the natural homomorphism φ : W𝓞 → WR of the corresponding Witt rings. We formulate necessary and sufficient conditions for the surjectivity of φ in the case of all nonreal quadratic number fields, all real quadratic number fields K such that -1 is a norm in the extension K/ℚ, and all quadratic function fields.

Systems of quadratic forms

Albrecht Pfister (1979)

Mémoires de la Société Mathématique de France

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Algebraic systems of quadratic forms of number fields and function fields.

Martin Krüskemper (1989)

Manuscripta mathematica

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Isotropy of quadratic spaces in finite and infinite dimension.

Becher, Karim Johannes, Hoffmann, Detlev W. (2007)

Documenta Mathematica

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