Sun Zhiwei

In this Chinese name, the family name is Sun.

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

1. Sun, Zhi-Wei (2002), "A curious identity involving binomial coefficients" (PDF), INTEGERS: The Electronic Journal of Combinatorial Number Theory, 2: A04
2. Unification of zero-sum problems, subset sums and covers of ${\displaystyle \mathbb {Z} }$ 
3. On functions taking only prime values, J. Number Theory 133(2013), 2794-2812

External links

• Zhi-Wei Sun's homepage