Sun Zhiwei

{{Short description|Chinese mathematician}}

{{family name hatnote|Sun|lang=Chinese}}

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Sun Zhiwei ({{zh|c=孙智伟|p=Sūn Zhìwěi|w=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.{{cn|date=November 2021}}

Sun proved Sun's curious identity in 2002.{{citation

| last = Sun | first = Zhi-Wei

| journal = INTEGERS: The Electronic Journal of Combinatorial Number Theory

| page = A04

| title = A curious identity involving binomial coefficients

| url = http://www.emis.de/journals/INTEGERS/papers/c4/c4.pdf

| volume = 2

| year = 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.[http://www.ams.org/era/2003-09-07/S1079-6762-03-00111-2/S1079-6762-03-00111-2.pdf Unification of zero-sum problems, subset sums and covers of \Z]

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 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.{{cite journal | url=http://www.sciencedirect.com/science/article/pii/S0022314X13000747 | doi=10.1016/j.jnt.2013.02.003 | title=On functions taking only prime values | date=2013 | last1=Sun | first1=Zhi-Wei | journal=Journal of Number Theory | volume=133 | issue=8 | pages=2794–2812 | arxiv=1202.6589 }}

He is the Editor-in-Chief of the Journal of Combinatorics and Number Theory.{{cn|date=November 2021}}

Notes

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