On primitively universal quadratic forms |
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Authors: | N Budarina |
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Institution: | 1.Department of Mathematics, Logic House,National University of Ireland,Maynooth,Ireland |
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Abstract: | In 1999, Manjul Bhargava proved the Fifteen Theorem and showed that there are exactly 204 universal positive definite integral
quaternary quadratic forms. We consider primitive representations of quadratic forms and investigate a primitive counterpart
to the Fifteen Theorem. In particular, we give an efficient method for deciding whether a positive definite integral quadratic
form in four or more variables with odd square-free determinant is almost primitively universal. |
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