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

DOI10.1007/s11425-013-4646-5zbMath1365.11038OpenAlexW2021363303MaRDI QIDQ476630

Dasheng Wei

Publication date: 2 December 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-013-4646-5

zbMATH Keywords

reciprocity lawintegral pointsring class field

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Quadratic extensions (11R11) Quadratic and bilinear Diophantine equations (11D09) Quadratic forms over global rings and fields (11E12)

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Strong Approximation with Brauer–Manin Obstruction for Toric Varieties ⋮ Diophantine equations defined by binary quadratic forms over rational function fields ⋮ On orders in number fields: Picard groups, ring class fields and applications ⋮ On the fibration method for zero-cycles and rational points ⋮ Efficiency of orthogonal super greedy algorithm under the restricted isometry property

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• Sums of three squares over imaginary quadratic fields
• Brauer–Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms
• On the sum of two integral squares in certain quadratic fields
• On the sum of two integral squares in certain quadratic fields

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