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He, Zilong; Hu, Yong
Science China. Mathematics, 2024/7, Letnik: 67, Številka: 7Journal Article
Let n ⩾ 2 be an integer. We give necessary and sufficient conditions for an integral quadratic form over dyadic local fields to be n -universal by using invariants from Beli’s theory of bases of norm generators. Also, we provide a minimal set for testing n -universal quadratic forms over dyadic local fields, as an analogue of Bhargava and Hanke’s 290-theorem (or Conway and Schneeberger’s 15-theorem) on universal quadratic forms with integer coefficients.
