本项目主要研究组合数论中的若干问题, 特别是P. Erdos学派感兴趣的一系列问题. 将围绕Erdos-Birch型问题、加法补集、表示函数等进行研究，这些问题的研究成果将推动加法数论和组合数论的发展. 本项目申请者已经积累了丰富的研究经验,在该研究领域已有不少成果, 在Amer. J. Math., J. London Math. Soc., Math. Comp., Acta Arith. 等期刊上发表学术论文160多篇, 在数论方向国际顶级刊物Acta Arithmetica和Journal of Number Theory上已发表论文共50多篇.

In this project, we will study problems in combinatorial number theory. In particular, we will study problems which are concerned by mathematicians P. Erdos etc. We will pay more attention to Erdos-Birch type questions, additive completements, additive representation functions, etc. The results on these topics will push forward the development of additive number theory and combinatorial number theory. The applicant has rich experience and achievements in scientific research related to this project. There are more than 160 published papers in Amer. J. Math.,J. London Math. Soc., Math. Comp., Acta Arith. etc. Among which, there are more than 50 papers in Acta Arithmetica and Journal of Number Theory.