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- W1973838724 abstract "Let A be an integral domain, F q f ( A ) its quotient field; let a be an element of A . I f a is a sum of n squares in F, is a then a sum of squares in A , and, i f so, is a a sum of n squares in A ? As may be expected, the answers to these questions depend on the number n and on the nature of the domain A. The following are some examples: (1) If n = 1 and A is integrally closed, the answers to both questions are yes. (2) If A = 71, the answers to both questions are yes, for any n. This follows from classical number theory (e.g., [27, Chap. 7])." @default.
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- W1973838724 date "1980-07-01" @default.
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- W1973838724 title "Sums of squares in some integral domains" @default.
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