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math.CO2022
Asymptotic estimate on the distance energy of lattices
Zhipeng Lu, Xianchang Meng
Since the well-known breakthrough of L. Guth and N. Katz on the Erdos distinct distances problem in the plane, mainstream of interest is aroused by their method and the Elekes-Shar…
math.NT2022
Visible lattice points in higher dimensional random walks and biases among them
Kui Liu, Meijie Lu, Xianchang Meng
For any integers , and any finite set , where ${ \boldsymbolα_t}=(α_{t,1},\cdots,α_{t,k})~(1\leq t\leq…