A note on factorizations in quadratic fields

W. Narkiewicz

Skip to main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information (access key '0')

Displaying similar documents to “A note on factorizations in quadratic fields”

The inhomogeneous minimum of quadratic forms of signature zero

B. Birch (1958)

Acta Arithmetica

Similarity:

On the least integers represented by the genera of binary quadratic forms

A. Baker, Andrzej Schinzel (1971)

Acta Arithmetica

Similarity:

Frobenius distributions for real quadratic orders

Peter Stevenhagen (1995)

Journal de théorie des nombres de Bordeaux

Similarity:

We present a density result for the norm of the fundamental unit in a real quadratic order that follows from an equidistribution assumption for the infinite Frobenius elements in the class groups of these orders.

On the computation of quadratic $2$ -class groups

Wieb Bosma, Peter Stevenhagen (1996)

Journal de théorie des nombres de Bordeaux

Similarity:

We describe an algorithm due to Gauss, Shanks and Lagarias that, given a non-square integer $D \equiv 0, 1$ mod $4$ and the factorization of $D$ , computes the structure of the $2$ -Sylow subgroup of the class group of the quadratic order of discriminant $D$ in random polynomial time in $log |D|$ .