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Paper detail

Pfister's theorem fails in the Hermitian case

We show that the Hermitian analogue of a famous result of Pfister fails. To do so we provide a Hermitian symmetric polynomial $r$ of total degree 2d such that any non-zero multiple of it cannot be written as a Hermitian sum of squares with fewer than $d+1$ squares.

preprint2010arXivOpen access
John P. D'AngeloJiri Lebl
math.CVmath.AG
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John P. D'AngeloJiri Lebl

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