Abstract:In a paper by J. Deutsch [1], a quaternionic proof of the universality of seven quaternary quadratic forms was given. The proof relies on a construction very similar to that of Hurwitz quaternions, and its associated division algorithm. Of course, these results are evident, if one uses the Conway-Schneeberger Fifteen Theorem [2], as the author also mentioned, however it is interesting to give a direct proof for some specific quadratic forms based on simple argument. It is the purpose of this short note to prov… Show more
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