Sun Zhiwei
Sun Zhiwei is a Chinese mathematician, working primarily in number theory, combinatorics, and group theory. He is a professor at Nanjing University.Biography
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.
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.
In 2013, he published a paper 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.
In the paper, he refined Lagrange's four-square theorem in various ways and posed many related conjectures one of which is Sun's 1-3-5 conjecture.
He is the Editor-in-Chief of the .
