AbstractThis note concerns an alternative theorem for quadratic forms established recently by Y. Yuan. We explore some directions in which Yuan's result can be extended, and we indicate also some important situations where an alternative theorem à la Yuan does not hold
Introduction. Let K be a field. Springer has proved that an ani-sotropic quadratic form over K is al...
The question of the nonnegativity of quadratic forms on intersections of quadratic cones is consider...
AbstractUsing known properties of continued fractions, we give a very simple and elementary proof of...
AbstractThis note concerns an alternative theorem for quadratic forms established recently by Y. Yua...
In order to make this thesis reasonably complete and yet keep within prescribed limits of space, it ...
It is proved that a quadratic space over the polynomial extension of a global field K is extended fr...
AbstractThis is a historical and mathematical survey of work on necessary and sufficient conditions ...
The Ramanujan-Mordell Theorem for sums of an even number of squares is extended to other quadratic ...
International audienceAs the title suggests, this paper reviews some classical and less classical pr...
1. Four equivalent definitions of a quadratic form 2 2. Action of Mn(K) on n-ary quadratic forms
Apart from the fundamental interest in a weak characterization of quadratic forms the possibility to...
If R is a complete discrete valuation ring, then every quadratic space over R[T] is extended from R....
AbstractThe behaviour of quadratic forms under the extension to the function field of a conic is stu...
Copyright c © 2013 Cherng-tiao Perng. This is an open access article distributed under the Creative ...
We offer some elementary characterisations of group and round quadratic forms. These characterisatio...
Introduction. Let K be a field. Springer has proved that an ani-sotropic quadratic form over K is al...
The question of the nonnegativity of quadratic forms on intersections of quadratic cones is consider...
AbstractUsing known properties of continued fractions, we give a very simple and elementary proof of...
AbstractThis note concerns an alternative theorem for quadratic forms established recently by Y. Yua...
In order to make this thesis reasonably complete and yet keep within prescribed limits of space, it ...
It is proved that a quadratic space over the polynomial extension of a global field K is extended fr...
AbstractThis is a historical and mathematical survey of work on necessary and sufficient conditions ...
The Ramanujan-Mordell Theorem for sums of an even number of squares is extended to other quadratic ...
International audienceAs the title suggests, this paper reviews some classical and less classical pr...
1. Four equivalent definitions of a quadratic form 2 2. Action of Mn(K) on n-ary quadratic forms
Apart from the fundamental interest in a weak characterization of quadratic forms the possibility to...
If R is a complete discrete valuation ring, then every quadratic space over R[T] is extended from R....
AbstractThe behaviour of quadratic forms under the extension to the function field of a conic is stu...
Copyright c © 2013 Cherng-tiao Perng. This is an open access article distributed under the Creative ...
We offer some elementary characterisations of group and round quadratic forms. These characterisatio...
Introduction. Let K be a field. Springer has proved that an ani-sotropic quadratic form over K is al...
The question of the nonnegativity of quadratic forms on intersections of quadratic cones is consider...
AbstractUsing known properties of continued fractions, we give a very simple and elementary proof of...
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