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

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Recently 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.
Approx. 20 pages. Submitted to Journal of Number Theory

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Number Theory, 11D09; 11D57; 11P05

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http://salesiana.dossiersoluciones.com/handle/123456789/71637

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406434
 http://arxiv.org/abs/math/0406434

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arXiv