11 citations · 37 across the 34 of their papers we have counts for
6 papers · 1 filter
A lower bound for |{a+b: a\in A, b\in B, P(a,b)\not=0}|
Hao Pan, Zhi-Wei Sun
Let A and B be two finite subsets of a field F. In this paper we provide a nontrivial lower bound for |{a+b: a in A, b in B, and P(a,b) not=0}| where .
An additive theorem and restricted sumsets
Zhi-Wei Sun
Let G be any additive abelian group with cyclic torsion subgroup, and let A, B and C be finite subsets of G with cardinality n>0. We show that there is a numbering {a_i}_{i=1}^n of…
Extensions of Wilson's lemma and the Ax-Katz theorem
Zhi-Wei Sun
A classical result of A. Fleck states that if p is a prime, and n>0 and r are integers, then Recently R. M. Wils…
Fleck quotients and Bernoulli numbers
Zhi-Wei Sun
Let p be a prime, and let n>0 and r be integers. In 1913 Fleck showed that Nowadays this result plays im…
On the unique representability of spikes over prime fields
Zhaoyang Wu, Zhi-Wei Sun
For an integer , a rank- matroid is called an -spike if it consists of three-point lines through a common point such that, for all , the un…
On covering numbers
Zhi-Wei Sun
A positive integer n is called a covering number if there are some distinct divisors n_1,...,n_k of n greater than one and some integers a_1,...,a_k such that Z is the union of the…