Sun Zhiwei Explained

Sun Zhiwei (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.[1]

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

pk,\ldots,pn(k<n)

not exceeding

2m+2.2\sqrt{m}

such that

m=pn-pn-1+...+(-1)n-kpk

, where

pj

denotes the

j

-th prime.[2]

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

External links

Notes and References

  1. 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

  2. On functions taking only prime values . 10.1016/j.jnt.2013.02.003 . 2013 . Sun . Zhi-Wei . Journal of Number Theory . 133 . 8 . 2794–2812 . 1202.6589 .