Zhi-Wei Sun (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
Zhi-Wei Sun 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.