11 citations · 37 across the 34 of their papers we have counts for
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math.NT2008★ 1 cited
A variant of Tao's method with application to restricted sumsets
Song Guo, Zhi-Wei Sun
In this paper, we develop Terence Tao's harmonic analysis method and apply it to restricted sumsets. The well known Cauchy-Davenport theorem asserts that if and are nonempt…
math.NT2008★ 1 cited
Mixed sums of squares and triangular numbers (III)
Byeong-Kweon Oh, Zhi-Wei Sun
In this paper we confirm a conjecture of Sun which states that each positive integer is a sum of a square, an odd square and a triangular number. Given any positive integer m, we s…
math.NT2008★ 1 cited
A new extension of the Erdos-Heilbronn conjecture
Hao Pan, Zhi-Wei Sun
Let A_1,...,A_n be finite subsets of a field F, and let f(x_1,...,x_n)=x_1^k+...+x_n^k+g(x_1,...,x_n)\in F[x_1,...,x_n] with deg g<k. We obtain a lower bound for the cardinality of…