Proves local criteria for primitive m-universality in integral quadratic forms, indicating important applications in higher mathematics.
In this paper, we prove local criteria for the primitive m-universality of integral quadratic forms of a special form over an odd ring ℤp. As an application of the local criteria, we prove a result related to the primitively odd m-universality of positive definite classically integral quadratic forms.
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Natalia Budarina (2026) studied this question.
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