Sun Zhiwei

Zhi-Wei Sun (, born October 16, 1965) is a Chinese mathematician, working primarily in number theory, combinatorics, and group theory. He is currently a professor at Nanjing University.Born in Huaian, 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 Fermats 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.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. 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. He also raised many open conjectures on congruences and posed over 100 conjectural series for powers of \pi.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<n) 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.He is the Editor-in-Chief of the Journal of Combinatorics and Number Theory.

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