Sums of integral squares in certain cyclotomic number fields

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1977

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Abstract

Denote by R[lowered m] the ring of integers in the cyclotomic number field Q (e[raised 2[pi]i/m]) . This paper presents necessary and sufficient conditions of an integer in R[lowered m] to be the sum of two squares of integers in R[lowered m] for the following values of m: 5, 7, 8, 9, 10, 14, and 18.

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