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Sums of three integral squares in cyclotomic fields
Published online by Cambridge University Press: 17 April 2009
Abstract
Let m be an odd positive integer greater than 2 and f the smallest positive integer such that 2f ≡ 1 (mod m). It is proved that every algebraic integer in the cyclotomic field ℚ(ζm) can be expressed as a sum of three integral squares if and only if f is even.
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- Copyright © Australian Mathematical Society 2003
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