Quadratic forms over fields with finite square class number

Kazimierz Szymiczek

The search session has expired. Please query the service again.

Displaying similar documents to “Quadratic forms over fields with finite square class number”

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

Kostadinka Lapkova (2012)

Acta Arithmetica

Similarity:

Indecomposable integral quadratic forms over global function fields

Larry J. Gerstein (2000)

Acta Arithmetica

Similarity:

Quadratic forms over Springer fields

L. Szczepanik (1978)

Colloquium Mathematicae

Similarity:

Quadratic Forms over Formally Real Fields with Eight Square Classes.

M. Kula, L. Szczepanik, K. Szymiczek (1979)

Manuscripta mathematica

Similarity:

Subrings in imaginary quadratic fields which are not universal for GE₂

Sheng Chen, Hong You (2003)

Acta Arithmetica

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:

Ternary quadratic forms that represent zero: the function field case

Mireille Car (2008)

Acta Arithmetica

Similarity:

On annihilators of the class group of an imaginary compositum of quadratic fields

Radan Kučera (2010)

Acta Arithmetica

Similarity:

A note on the existence of certain infinite families of imaginary quadratic fields

Iwao Kimura (2003)

Acta Arithmetica

Similarity:

Class number divisibility of relative quadratic function fields

Yoonjin Lee (2006)

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.

Localised Bombieri-Vinogradov theorems in imaginary quadratic fields

Mark Coleman, Andrew Swallow (2005)

Acta Arithmetica

Similarity:

Class number formulae for imaginary quadratic fields.

R.W. Davis (1976)

Journal für die reine und angewandte Mathematik

Similarity:

Shimura's mass formula for an orthogonal group over real quadratic fields

Manabu Murata (2006)

Acta Arithmetica

Similarity:

Quadratic forms with polynomial coefficients

Mireille Car (2004)

Acta Arithmetica

Similarity:

Quadratic Equations over Finite Fields and Class Numbers of Real Quadratic Fields.

Takashi Agoh, Toshiaki Shoji (1998)

Monatshefte für Mathematik

Similarity:

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.

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

Similarity:

Some new evaluations of the Legendre symbol ((a+b√q)/p)

Lerna Pehlivan, Kenneth S. Williams (2015)

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: