首页|On n-universal quadratic forms over dyadic local fields
On n-universal quadratic forms over dyadic local fields
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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.
integral quadratic formsn-universal quadratic formsdyadic fields290-theorem
Zilong He、Yong Hu
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School of Computer Science and Technology,Dongguan University of Technology,Dongguan 523808,China
Department of Mathematics,Southern University of Science and Technology,Shenzhen 518055,China
National Natural Science Foundation of ChinaGuangdong Basic and Applied Basic Research Foundation
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