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math.NT2004
A Quaternionic Proof of the Representation Formula of a Quaternary Quadratic Form
Jesse I. Deutsch
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…
math.NT2004★ 8 cited
A Quaternionic Proof of the Universality of Some Quadratic Forms
Jesse I. Deutsch
Quadratic forms over Z that represent all positive integers are called universal. Starting with Ramanujan, 54 universal quaternary quadratic forms without cross product terms were…