W. V. Woerden

collaborators

2 papers

math.NT2020

A Canonical Form for Positive Definite Matrices

Mathieu Dutour Sikirić, Anna Haensch, John Voight +1

We exhibit an explicit, deterministic algorithm for finding a canonical form for a positive definite matrix under unimodular integral transformations. We use characteristic sets of…

math.NT2019

An upper bound on the number of perfect quadratic forms

Wessel P. J. van Woerden

In a recent preprint on arXiv Roland Bacher showed that the number $p_{d}$ of non-similar perfect $d$ -dimensional quadratic forms satisfies $e^{Ω (d)} < p_{d} < e^{O (d^{3} l o g (d))}$ . We i…