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- W2021002585 abstract "It has long been known that every positive semidefinite function of R ( x, y ) is the sum of four squares. This paper gives the first example of such a function which is not expressible as the sum of three squares. The proof depends on the determination of the points on a certain elliptic curve defined over C ( x ). The 2-component of the Tate-Šafarevič group of this curve is nontrivial and infinitely divisible." @default.
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- W2021002585 date "1971-05-01" @default.
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- W2021002585 title "On sums of squares and on elliptic curves over function fields" @default.
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- W2021002585 doi "https://doi.org/10.1016/0022-314x(71)90030-8" @default.
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