A Quaternionic Proof of the Representation Formula of a Quaternary Quadratic Form

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dc.creatorDeutsch, Jesse I.
dc.date2004-06-22
dc.date.accessioned2026-07-07T05:09:28Z
dc.date.available2026-07-07T05:09:28Z
dc.descriptionRecently the author used certain quaternion orders to demonstrate the universality of some quaternary quadratic forms. Here a further study is done on one of these orders analogous to Hurwitz's proof of the formula for the number of representations of a positive integer by sums of four squares using quaternions. The result is the formula for the number of representations of a positive integer by one of the above mentioned quaternary quadratic forms.
dc.descriptionApprox. 20 pages. Submitted to Journal of Number Theory
dc.identifierhttps://arxiv.org/abs/math/0406434
dc.identifierhttp://arxiv.org/abs/math/0406434
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71637
dc.subjectNumber Theory
dc.subject11D09; 11D57; 11P05
dc.titleA Quaternionic Proof of the Representation Formula of a Quaternary Quadratic Form
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