4 papers
Exceptional sets for spinor regular ternary quadratic forms
A. G. Earnest
The goal of this note is to provide an analysis of the positive integers that are represented everywhere locally, but not globally, by each of the 29 spinor regular positive defini…
On locally primitively universal quadratic forms
A. G. Earnest, B. L. K. Gunawardana
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,…
Integral Quadratic Forms Avoiding Arithmetic Progressions
A. G. Earnest, Ji Young Kim
For every positive integer k, it is shown that there exists a positive definite diagonal quaternary integral quadratic form that represents all positive integers except for precise…
Classification of one-class spinor genera for quaternary quadratic forms
A. G. Earnest, Anna Haensch
A quadratic form has a one-class spinor genus if its spinor genus consists of a single equivalence class. In this paper, we determine that there is only one primitive quaternary ge…