<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The main goal of the paper is to examine the dimension of the vector space spanned by powers of linear forms. We also find a lower bound for the number of summands in the presentation of zero form as a sum of <italic>d</italic>-th powers of linear forms.</p></abstract>

The main goal of the paper is to examine the dimension of the vector space spanned by powers of linear forms. We also find a lower bound for the number of summands in the presentation of zero form as a sum of d-th powers of linear forms.

Linear Dependence Of Powers Of Linear Forms

Institute of Mathematics, University of Silesia, Bankowa 14, 40-007 Katowice, Poland

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Linear Dependence Of Powers Of Linear Forms"}

The main goal of the paper is to examine the dimension of the vector space spanned by powers of linear forms. We also find a lower bound for the number of...

Linear Dependence Of Powers Of Linear Forms

Published Online: Sep 30, 2015

Page range: 131 - 138

Received: Jan 06, 2015

DOI: https://doi.org/10.1515/amsil-2015-0010

© Andrzej Sładek

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.