Biography:Sun Zhiwei
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 [math]\displaystyle{ m }[/math] there are consecutive primes [math]\displaystyle{ p_k,\ldots,p_n\ (k\lt n) }[/math] not exceeding [math]\displaystyle{ 2m+2.2\sqrt{m} }[/math] such that [math]\displaystyle{ m=p_n-p_{n-1}+...+(-1)^{n-k}p_k }[/math], where [math]\displaystyle{ p_j }[/math] denotes the [math]\displaystyle{ j }[/math]-th prime.[3]
He is the Editor-in-Chief of the Journal of Combinatorics and Number Theory.[citation needed]
Notes
- ↑ Sun, Zhi-Wei (2002), "A curious identity involving binomial coefficients", INTEGERS: The Electronic Journal of Combinatorial Number Theory 2: A04, http://www.emis.de/journals/INTEGERS/papers/c4/c4.pdf
- ↑ Unification of zero-sum problems, subset sums and covers of [math]\displaystyle{ \Z }[/math]
- ↑ On functions taking only prime values, J. Number Theory 133(2013), 2794-2812
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