Sun Zhiwei

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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

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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   there are consecutive primes   not exceeding   such that  , where   denotes the  -th prime.[3]

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

Notes

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  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  
  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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