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arXiv · 2005.11268

On locally primitively universal quadratic forms

A. G. Earnest·B. L. K. Gunawardana
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Abstract

A positive definite integral quadratic form is said to be almost (primitively) universal if it (primitively) represents all but at most finitely many positive integers. In general, almost primitive universality is a stronger property than almost universality. The two main results of this paper are: 1) every primitively universal form nontrivially represents zero over every ring of p-adic integers, and 2) every almost universal form in five or more variables is almost primitively universal.

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A. G. Earnest, B. L. K. Gunawardana. 2020-05-22. On locally primitively universal quadratic forms. https://arxiv.org/abs/2005.11268

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