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Journal of the Ramanujan Mathematical Society

Volume 32, Issue 4, December 2017  pp. 327–337.

A cubic generalization of Brahmagupta's identity

Authors:  Samuel A. Hambleton
Author institution:School of Mathematics and Physics, The University of Queensland, St. Lucia, Queensland, Australia 4072

Summary:  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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