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- University of Science and Technology of ChinaCN45 papers
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6 papers · 1 filter
On -ADC integral quadratic lattices over algebraic number fields
Zilong He
In the paper, we extend the ADC property to the representation of quadratic lattices by quadratic lattices, which we define as -ADC-ness. We explore the relationship between $…
On classic -universal quadratic forms over dyadic local fields
Zilong He
Let be an integer and . A classic integral quadratic form over local fields is called classic -universal if it represents all -ary classic integral quadrati…
On -universal quadratic lattices over unramified dyadic local fields
Zilong He, Yong Hu
Let be a positive integer and let be a finite unramified extension of with ring of integers . An integral (resp. classic) quadratic form over…
On -universal quadratic forms over dyadic local fields
Zilong He, Yong Hu
Let be an integer. We give necessary and sufficient conditions for an integral quadratic form over dyadic local fields to be -universal by using invariants from Bel…
On indefinite -universal integral quadratic forms over number fields
Zilong He, Yong Hu, Fei Xu
An integral quadratic lattice is called indefinite -universal if it represents all integral quadratic lattices of rank for a given positive integer . For , we pr…
On inverses of some permutation polynomials over finite fields of characteristic three
Yanbin Zheng, Fu Wang, Libo Wang +1
By using the piecewise method, Lagrange interpolation formula and Lucas' theorem, we determine explicit expressions of the inverses of a class of reversed Dickson permutation polyn…