24 citations · 138 across the 35 of their papers we have counts for
5 papers · 1 filter
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…
On the inner product problem in the plane
Zhipeng Lu
We establish the optimal lower bound for counting the number of distinct inner products of pairs from any given vectors in . Essentially, we lift a related in…
Symmetric permutation invariants in some tensor products
Zhipeng Lu
This is a note for constructing fundamental invariants and computing the Hilbert series of the invariant subalgebras of tensor products of polynomial rings under the action by a di…
Möbius transform, moment-angle complexes and Halperin-Carlsson conjecture
Xiangyu Cao, Zhi Lü
In this paper, we give an algebra-combinatorics formula of the Möbius transform for an abstract simplicial complex on in terms of the Betti numbers of the S…
Graphs of 2-torus actions
Zhi Lü
It has been known that an effective smooth -action on a smooth connected closed manifold fixing a finite set can be associated to a -colored r…