Sun Zhiwei
Zhi-Wei Sun (Chinese: 孙智伟; pinyin: Sūn Zhìwěi; Wade–Giles: Sun Chihwei, born October 16, 1965) is a Chinese mathematician, working primarily on number theory, combinatorics, and group theory. Currently he works as a professor in Nanjing University.
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 that guided the search for counterexamples to Fermat's last theorem.
In 2003, he presented a unified approach to three famous topics of Paul Erdős in combinatorial number theory: covering systems, restricted sumsets, and zero-sum problems or EGZ Theorem.[1]
He used q-series to prove that any natural number can be represented as a sum of an even square and two triangular numbers. He conjectured, and proved with B.-K. Oh, that each positive integer can be represented as a sum of a square, an odd square and a triangular number.[2] In 2009, he conjectured that any natural number can be written as the sum of two squares and a pentagonal number, as the sum of a triangular number, an even square and a pentagonal number, and as the sum of a square, a pentagonal number and a hexagonal number.[3] He also raised many open conjectures on congruences [4] and posed over 100 conjectural series for powers of .[5]
In 2013 he published a paper [6] 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.
He is the Editor-in-Chief of Journal of Combinatorics and Number Theory.
See also
Notes
- ^ Unification of zero-sum problems, subset sums and covers of
- ^ Mixed sums of squares and triangular numbers (III)
- ^ On universal sums of polygonal numbers
- ^ Open conjectures on congruences
- ^ List of conjectural series for powers of and other constants
- ^ On functions taking only prime values, J. Number Theory 133(2013), 2794-2812
External links
| International | |
|---|---|
| National | |
| Academics | |
