On the Pythagoras number for polynomials of degree 4 in 5 variables
Algebraic Geometry
2023-06-12 v1
Abstract
We give an example of a polynomial of degree 4 in 5 variables that is the sum of squares of 8 polynomials and cannot be decomposed as the sum of 7 squares. This improves the current existing lower bound of 7 polynomials for the Pythagoras number .
Keywords
Cite
@article{arxiv.2306.05959,
title = {On the Pythagoras number for polynomials of degree 4 in 5 variables},
author = {Santiago Laplagne},
journal= {arXiv preprint arXiv:2306.05959},
year = {2023}
}