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math.SP2023
A new approach for constructing graph being determined by their generalized -spectrum
Liwen Gao, Xuejun Guo
Given a graph , we have the adjacency matrix and degree diagonal matrix . The -spectrum is the all eigenvalues of -matrix . A class of graphs…
math.NT2023
Lower bound estimates for the rank of universal quadratic forms in some families of real cubic fields with density one
Liwen Gao, Xuejun Guo
In this paper, we establish the explicit lower bound estimates for the rank of universal quadratic forms in some certain families of real cubic fields under the condition of densit…
math.CA2023
Multiple Weighted Estimates for Multilinear Commutators of Multilinear Singular Integrals with Generalized Kernels
Liwen Gao, Yan Lin, Shuhui Yang
In this paper, the weighted Lp boundedness of multilinear commutators and iterated commutators of multilinear singular integral operators with generalized kernels is established, w…