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Authors
Affiliations
1 School of Mathematics and Physics, The University of Queensland, St. Lucia, Queensland, 4072, AU
Source
Journal of the Ramanujan Mathematical Society, Vol 32, No 4 (2017), Pagination: 327–337
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.