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Sun Zhiwei ( Chinese: 孙智伟; pinyin: Sūn Zhìwěi; Wade–Giles: Sun Chih-wei, 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.^{[ citation needed]}

Sun proved Sun's curious identity in 2002. ^[1] 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. ^[2]

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 ${\displaystyle m}$ there are consecutive primes ${\displaystyle p_{k},\ldots ,p_{n}\ (k<n)}$ not exceeding ${\displaystyle 2m+2.2{\sqrt {m}}}$ such that ${\displaystyle m=p_{n}-p_{n-1}+...+(-1)^{n-k}p_{k}}$, where ${\displaystyle p_{j}}$ denotes the ${\displaystyle j}$-th prime. ^[3]

He is the Editor-in-Chief of the Journal of Combinatorics and Number Theory.^{[ citation needed]}

Notes

External links

• Zhi-Wei Sun's homepage