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A cubic generalization of Brahmagupta's identity

Published 29 Aug 2018 in math.NT | (1808.10058v1)

Abstract: We give an algebraic identity for cubic polynomials which generalizes Brahmagupta's identity and facilitates arithmetic in cubic fields. We also pose a question about a relationship between the elements of a cubic field of fixed trace and fixed norm and rational points of an elliptic curve.

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