Algebraic -theory and sums-of-squares formulas.

Dugger, Daniel; Isaksen, Daniel C.

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Positive polynomials arising from Muirhead’s inequality, from classical power mean and elementary symmetric mean inequalities and from Minkowski’s inequality can be rewritten as sums of squares.

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Roger Clement Crocker (2008)

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It can be shown that the positive integers representable as the sum of two squares and one power of k (k any fixed integer ≥ 2) have positive density, from which it follows that those integers representable as the sum of two squares and (at most) two powers of k also have positive density. The purpose of this paper is to show that there is an infinity of positive integers not representable as the sum of two squares and two (or fewer) powers of k, k again any fixed integer ≥ 2. ...

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Displaying similar documents to “Algebraic K -theory and sums-of-squares formulas.”

Displaying similar documents to “Algebraic $K$ -theory and sums-of-squares formulas.”