Zhi-Wei Sun

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Sun Zhiwei (Template:Zh, born October 16, 1965) is a Chinese mathematician, working primarily in number theory, combinatorics, and group theory. He is a professor at Nanjing University.

Biography

Sun Zhiwei was born in Huai'an, Jiangsu. Sun and his twin brother Sun Zhihong proved a theorem about what are now known as the Wall–Sun–Sun primes.Template:Cn

Sun proved Sun's curious identity in 2002.<ref>Template:Citation</ref> In 2003, he presented a unified approach to three topics of Paul Erdős in combinatorial number theory: covering systems, restricted sumsets, and zero-sum problems or EGZ Theorem.<ref>Unification of zero-sum problems, subset sums and covers of <math>\Z</math></ref>

With Stephen Redmond, he posed the Redmond–Sun conjecture in 2006.

In 2013, he published a paper containing many conjectures on primes, one of which states that for any positive integer <math>m</math> there are consecutive primes <math>p_k,\ldots,p_n\ (k<n)</math> not exceeding <math>2m+2.2\sqrt{m}</math> such that <math>m=p_n-p_{n-1}+...+(-1)^{n-k}p_k</math>, where <math>p_j</math> denotes the <math>j</math>-th prime.<ref>Template:Cite journal</ref>

He is the Editor-in-Chief of the Journal of Combinatorics and Number Theory.Template:Cn

Notes

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