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On the sum of two integral squares in the imaginary quadratic field \(\mathbb{Q}\left( {\sqrt { - 2p} } \right)\)

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Abstract

We determine the sum of two integral squares over imaginary quadratic fields \(\mathbb{Q}\left( {\sqrt { - 2p} } \right)\), where p ≡ 1 mod 8 is a prime satisfying 2p = r 2 + s 2 with r, s ≡ ±3 mod 8.

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Correspondence to DaSheng Wei.

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Wei, D. On the sum of two integral squares in the imaginary quadratic field \(\mathbb{Q}\left( {\sqrt { - 2p} } \right)\) . Sci. China Math. 57, 49–60 (2014). https://doi.org/10.1007/s11425-013-4646-5

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  • DOI: https://doi.org/10.1007/s11425-013-4646-5

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