Quadratic forms over Springer fields

L. Szczepanik

Displaying similar documents to “Quadratic forms over Springer fields”

Quadratic forms over fields with finite square class number

Kazimierz Szymiczek (1975)

Acta Arithmetica

Similarity:

Class number divisibility of relative quadratic function fields

Yoonjin Lee (2006)

Acta Arithmetica

Similarity:

Ternary quadratic forms that represent zero: the function field case

Mireille Car (2008)

Acta Arithmetica

Similarity:

Indecomposable integral quadratic forms over global function fields

Larry J. Gerstein (2000)

Acta Arithmetica

Similarity:

Infinite 2-class field towers of some imaginary quadratic number fields

Yutaka Sueyoshi (2004)

Acta Arithmetica

Similarity:

Indivisibility of class numbers of imaginary quadratic function fields

Dongho Byeon (2008)

Acta Arithmetica

Similarity:

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

Similarity:

Class number one problem for real quadratic fields of a certain type

Kostadinka Lapkova (2012)

Acta Arithmetica

Similarity:

Quadratic forms over fields with u = q/2 < + ∞

Craig Cordes, John Ramsey (1978)

Fundamenta Mathematicae

Similarity:

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

Similarity:

Subrings in imaginary quadratic fields which are not universal for GE₂

Sheng Chen, Hong You (2003)

Acta Arithmetica

Similarity:

The class number one problem for the real quadratic fields ℚ(√((an)²+4a))

András Biró, Kostadinka Lapkova (2016)

Acta Arithmetica

Similarity:

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.

Algorithms for quadratic forms over real function fields

Konrad Jałowiecki, Przemysław Koprowski (2016)

Banach Center Publications

Similarity:

This paper presents algorithms for quadratic forms over a formally real algebraic function field K of one variable over a fixed real closed field k. The algorithms introduced in the paper solve the following problems: test whether an element is a square, respectively a local square, compute Witt index of a quadratic form and test if a form is isotropic/hyperbolic. Finally, we remark on a method for testing whether two function fields are Witt equivalent.