Abstract.
In a paper of Kim, Chan, and Rhagavan, the universal ternary classical quadratic forms over quadratic fields of positive discriminant were discovered. Here a proof of the universality of some of these quadratic forms is given using a technique of Liouville. Another quadratic form over the field of discriminant 8 is shown universal by a different elementary approach.
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Received: 30 October 2007
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Deutsch, J.I. Short proofs of the universality of certain diagonal quadratic forms. Arch. Math. 91, 44–48 (2008). https://doi.org/10.1007/s00013-008-2637-5
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DOI: https://doi.org/10.1007/s00013-008-2637-5