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Abstract: In 1888, Hilbert described how to find real polynomials in more than onevariable which take only non-negative values but are not a sum of squares ofpolynomials. His construction was so restrictive that no explicit examplesappeared until the late 1960s. We revisit and generalize Hilbert-s constructionand present many such polynomials.



Author: Bruce Reznick

Source: https://arxiv.org/







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