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Sun Zhiwei

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(Redirected from Zhi Wei Sun) Chinese mathematician In this Chinese name, the family name is Sun.
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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.

Sun proved Sun's curious identity in 2002. 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.

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

He is the Editor-in-Chief of the Journal of Combinatorics and Number Theory.

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 Z {\displaystyle \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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