Let $ n $ be an integer and $ n\ge 2 $. We determine the equivalent conditions and establish a local analogue of Conway-Schneeberger's $ 15 $-theorem for $ n $-universal classic integral quadratic forms over dyadic local fields, respectively
Recent ground-breaking work of Conway, Schneeberger, Bhargava, and Hanke shows that to determine whe...
A recently found local-global principle for quadratic forms over function fields of curves over a co...
A recently found local-global principle for quadratic forms over function fields of curves over a co...
The Fifteen Theorem deals with universal integral quadratic form. In 1770 Lagrange proved that the q...
An integral quadratic lattice is called indefinite $k$-universal if it represents all integral quadr...
Let $k$ be a positive integer and let $F$ be a finite unramified extension of $\mathbb{Q}_2$ with ri...
The aim of this work is to study universal quadratic forms over biquadratic fields. In the thesis we...
Integral spinor norms in dyadic local fields II by Fei Xu (Hefei) In the previous paper [X] we have ...
We study the problem of universal quadratic forms, whose solution is given by the recent paper of Bh...
Given two quadratic lattices $M$ and $N$ over a dyadic local field $F$, i.e. a finite extension of $...
Copyright c © 2013 Cherng-tiao Perng. This is an open access article distributed under the Creative ...
In 1993, Conway formulated a remarkable conjecture regarding universal quadratic forms, i.e., intege...
In this work, we derive some properties of n-universal quadratic forms, quadratic ideals and ellipti...
The aim of this work is to study the number of variables of universal quadratic forms in number fiel...
AbstractWe give an explicit formula for local densities of integral representations of nondegenerate...
Recent ground-breaking work of Conway, Schneeberger, Bhargava, and Hanke shows that to determine whe...
A recently found local-global principle for quadratic forms over function fields of curves over a co...
A recently found local-global principle for quadratic forms over function fields of curves over a co...
The Fifteen Theorem deals with universal integral quadratic form. In 1770 Lagrange proved that the q...
An integral quadratic lattice is called indefinite $k$-universal if it represents all integral quadr...
Let $k$ be a positive integer and let $F$ be a finite unramified extension of $\mathbb{Q}_2$ with ri...
The aim of this work is to study universal quadratic forms over biquadratic fields. In the thesis we...
Integral spinor norms in dyadic local fields II by Fei Xu (Hefei) In the previous paper [X] we have ...
We study the problem of universal quadratic forms, whose solution is given by the recent paper of Bh...
Given two quadratic lattices $M$ and $N$ over a dyadic local field $F$, i.e. a finite extension of $...
Copyright c © 2013 Cherng-tiao Perng. This is an open access article distributed under the Creative ...
In 1993, Conway formulated a remarkable conjecture regarding universal quadratic forms, i.e., intege...
In this work, we derive some properties of n-universal quadratic forms, quadratic ideals and ellipti...
The aim of this work is to study the number of variables of universal quadratic forms in number fiel...
AbstractWe give an explicit formula for local densities of integral representations of nondegenerate...
Recent ground-breaking work of Conway, Schneeberger, Bhargava, and Hanke shows that to determine whe...
A recently found local-global principle for quadratic forms over function fields of curves over a co...
A recently found local-global principle for quadratic forms over function fields of curves over a co...