Linear Dependence Of Powers Of Linear Forms

Sładek, Andrzej

doi:10.1515/amsil-2015-0010

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Linear Dependence Of Powers Of Linear Forms

Annales Mathematicae Silesianae

Volume 29 (2015): Issue 1 (September 2015)

By: Andrzej Sładek

Open Access

|Sep 2015

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.

References

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[2] Chlebowicz A., Wołowiec-Musiał M., Forms with a unique representation as a sum of powers of linear forms, Tatra Mt. Math. Publ. 32 (2005), 33–39.
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DOI: https://doi.org/10.1515/amsil-2015-0010 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 131 - 138

Submitted on: Jan 6, 2015

Published on: Sep 30, 2015

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

11E76,

15A99

Related subjects:

Mathematics,

General mathematics

© 2015 Andrzej Sładek, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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