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 $m$ there are consecutive primes $p_{k},\ldots ,p_{n}\ (k<n)$ not exceeding $2m+2.2{\sqrt {m}}$ such that $m=p_{n}-p_{n-1}+...+(-1)^{n-k}p_{k}$ , where $p_{j}$ denotes the $j$ -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" (PDF), INTEGERS: The Electronic Journal of Combinatorial Number Theory, 2: A04
^ Unification of zero-sum problems, subset sums and covers of $\mathbb {Z}$
^ Sun, Zhi-Wei (2013). "On functions taking only prime values". Journal of Number Theory. 133 (8): 2794–2812. arXiv:1202.6589. doi:10.1016/j.jnt.2013.02.003.

External links

Zhi-Wei Sun's homepage

[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 $\mathbb {Z}$

[3] Sun, Zhi-Wei (2013). "On functions taking only prime values". Journal of Number Theory. 133 (8): 2794–2812. arXiv:1202.6589. doi:10.1016/j.jnt.2013.02.003.

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