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- W2059492761 abstract "Cassels, Ellison, and Pfister have shown that there is a positive semidefinite function of R ( x, y ) that is not the sum of three squares. In this paper positive definite functions of R ( x, y ) are found having the same property. The proof involves showing the nonexistence of points on some elliptic curves defined over C ( x ), and extends the methods of [1]." @default.
- W2059492761 created "2016-06-24" @default.
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- W2059492761 date "1976-05-01" @default.
- W2059492761 modified "2023-09-29" @default.
- W2059492761 title "Positive definite rational functions of two variables which are not the sum of three squares" @default.
- W2059492761 cites W2021002585 @default.
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- W2059492761 doi "https://doi.org/10.1016/0022-314x(76)90104-9" @default.
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