|
Zhi-Wei Sun (, 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.〔(Unification of zero-sum problems, subset sums and covers of )〕 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.〔(Mixed sums of squares and triangular numbers (III) )〕 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.〔(On universal sums of polygonal numbers )〕 He also raised many open conjectures on congruences 〔(Open conjectures on congruences )〕 and posed over 100 conjectural series for powers of .〔(List of conjectural series for powers of and other constants )〕 In 2013 he published a paper 〔(On functions taking only prime values ), J. Number Theory 133(2013), 2794-2812〕 containing many conjectures on primes one of which states that for any positive integer there are consecutive primes 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Sun Zhiwei」の詳細全文を読む スポンサード リンク
|