Article ID Journal Published Year Pages File Type
4597982 Journal of Pure and Applied Algebra 2008 11 Pages PDF
Abstract

Pólya proved that if a form (homogeneous polynomial) with real coefficients is positive on the nonnegative orthant (except at the origin), then it is the quotient of two real forms with no negative coefficients. While Pólya’s theorem extends, easily, from ordinary real forms to “generalized” real forms with arbitrary rational exponents, we show that it does not extend to generalized real forms with arbitrary real (possibly irrational) exponents.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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