Systems of quadratic forms - Open Access .click

Monatshefte Fur Mathematik, 2007
Let \(Q_1(x),\ldots,Q_r(x)\) be quadratic forms in \(s\) variables with real coefficients. The principal purpose of this paper is to study distribution of \((Q_1(x),\ldots,Q_r(x))\) in \({\mathbb R}^r\) for \(x\in{\mathbb Z}^s\). Fix a bounded star shaped body \(\Omega\subset{\mathbb R}^s\) which contains the origin as an inner point and an \(r ...
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Linear Spaces on the Intersection of Two Quadratic Hypersurfaces, and Systems of p-adic Quadratic Forms

Monatshefte Fur Mathematik, 2005
Let \(\beta_p(r;m)\) be the least positive integer with the property that the intersection of any \(s > \beta_p(r;m)\) quadrics over the field of \(p-\)adic numbers admits a linear space of projective dimension \(m\). The author proves that \(\beta_p(2;m) \leq 10 + 2m\) for \(p \neq 2\), and \(\beta_p(4;m) \leq 30 + 4m\) for \(p \neq 2\). This improves
Rainer Dietmann
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Deformations of Diophantine Systems for Quadratic Forms of the Cubic Lattices

Journal of Mathematical Sciences, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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APPLICATIONS OF SYSTEMS OF QUADRATIC FORMS TO GENERALISED QUADRATIC FORMS

Bulletin of the Australian Mathematical Society, 2020
A system of quadratic forms is associated to every generalised quadratic form over a division algebra with involution of the first kind in characteristic two. It is shown that this system determines the isotropy behaviour and the isometry class of generalised quadratic forms.
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quadratic forms
fos: mathematics
mathematics - number theory

number theory math.nt
quadratic forms over general fields
quadratic forms over local rings and fields

diophantine equations in many variables
general binary quadratic forms
quadratic and bilinear forms, inner products