Liangpan Li

activity

19942008

most citedOn the size of Nikodym sets in finite fields

3 citations · 5 across the 4 of their papers we have counts for

collaborators

6 papers

math.CO2008

Collinear triples in permutations

Liangpan Li

Let $α : F_{q} \to F_{q}$ be a permutation and $Ψ (α)$ be the number of collinear triples in the graph of $α$ , where $F_{q}$ denotes a finite field of $q$ elements.…

math.CA2008★ 3 cited

On the size of Nikodym sets in finite fields

Liangpan Li

Let $F_{q}$ denote a finite field of $q$ elements. Define a set $B \subset F_{q}^{n}$ to be Nikodym if for each $x \in B^{c}$ , there exists a line $L$ such that $L\cap B^c…

math.CO2008★ 2 cited

On the number of collinear triples in permutations

Liangpan Li

Let $α : Z_{n} \to Z_{n}$ be a permutation and $Ψ (α)$ be the number of collinear triples modulo $n$ in the graph of $α$ . Cooper and Solymosi had given by induction the bo…

math.NT2007

The Graham conjecture implies the Erdos-Turan conjecture

Liangpan Li

Erdös and Turán once conjectured that any set $A \subset N$ with $\sum_{a \in A} 1 / a = \infty$ should contain infinitely many progressions of arbitrary length $k \geq 3$ . For…

hep-ph1994

Dual solutions of Yang-Mills field theories in Minkowski space

Liang-Xin Li, Bing-Lin Young

Using spherical ansatz, we construct dual equations for non-abelian gauge fields in Minkowski space. The analytically continued instanton is shown to satisfy the dual equations but…

hep-ph1994

On the vacuum theta angle in Yang-Mills field theories

Liang-Xin Li, Bing-Lin Young

Recently, MIT group found a numerical solution to non-abelian gauge fields which is shown to contain non-integer topological number. Using this fact, V.V.Khoze has argued that the…