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| '''Zhi-Wei Sun''' ({{zh|c=孙智伟|p=Sūn Zhìwěi|w='''Sun Chihwei'''}}, born October 16, 1965) is a [[China|Chinese]] [[mathematician]], working primarily on [[number theory]], [[combinatorics]], and [[group theory]]. Currently he works as a professor in [[Nanjing University]].
| | Nice to meet you, I am Marvella Shryock. For many years he's been living in North Dakota and his family enjoys it. It's not a common factor but what she likes performing is base leaping and now she is attempting to earn money with it. My working day occupation is a meter reader.<br><br>Also visit my web blog: [http://kakaotv.net/game/1189995 home std test kit] |
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| Born in [[Huai'an|Huai'an, Jiangsu]], Sun and his twin brother [[Sun Zhihong]] proved a theorem about what are now known as the [[Wall-Sun-Sun prime]]s that guided the search for counterexamples to [[Fermat's last theorem]].
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| In 2003, he presented a unified approach to three famous topics of [[Paul Erdős]] in combinatorial number theory: [[covering system]]s, [[restricted sumset]]s, and [[zero-sum problem]]s or EGZ Theorem.<ref>[http://www.ams.org/era/2003-09-07/S1079-6762-03-00111-2/S1079-6762-03-00111-2.pdf Unification of zero-sum problems, subset sums and covers of <math>\Z</math>]</ref>
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| He used [[q-series]] to prove that any natural number can be represented as a sum of an even [[Square number|square]] and two [[triangular number]]s. 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.<ref>[http://arxiv.org/abs/0804.3750 Mixed sums of squares and triangular numbers (III)]</ref> 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]].<ref>[http://arxiv.org/abs/0905.0635 On universal sums of polygonal numbers]</ref>
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| He also raised many open conjectures on congruences <ref>[http://arxiv.org/abs/0911.5665 Open conjectures on congruences]</ref>
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| and posed over 100 conjectural series for powers of <math>\pi</math>.<ref>[http://arxiv.org/abs/1102.5649 List of conjectural series for powers of <math>\pi</math> and other constants]</ref>
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| In 2013 he published a paper <ref>[http://www.sciencedirect.com/science/article/pii/S0022314X13000747 On functions taking only prime values], J. Number Theory 133(2013), 2794-2812</ref> containing many conjectures on primes one of which states that for any positive integer <math>m</math> there are consecutive primes <math>p_k,\ldots,p_n\ (k<n)</math> not exceeding <math>2m+2.2\sqrt{m}</math> such that <math>m=p_n-p_{n-1}+...+(-1)^{n-k}p_k</math>, where <math>p_j</math> denotes the <math>j</math>-th prime.
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| His [[Erdős number]] is 2. He is the Editor-in-Chief of [https://www.novapublishers.com/catalog/product_info.php?products_id=7065 Journal of Combinatorics and Number Theory].
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| ==See also==
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| *[[Redmond–Sun conjecture]]
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| *[[Sun's curious identity]]
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| ==Notes==
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| {{reflist}}
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| ==External links==
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| * [http://math.nju.edu.cn/~zwsun/ Zhi-Wei Sun's homepage]
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| {{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
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| | NAME = Sun, Zhi-Wei
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| | ALTERNATIVE NAMES =
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| | SHORT DESCRIPTION = Chinese mathematician
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| | DATE OF BIRTH = October 16, 1965
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| | PLACE OF BIRTH =
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| | DATE OF DEATH =
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| | PLACE OF DEATH =
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| }}
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| {{DEFAULTSORT:Sun, Zhi-Wei}}
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| [[Category:1965 births]]
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| [[Category:Living people]]
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| [[Category:Chinese mathematicians]]
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| [[Category:20th-century mathematicians]]
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| [[Category:21st-century mathematicians]]
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| [[Category:Number theorists]]
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| [[Category:Combinatorialists]]
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| [[Category:People's Republic of China science writers]]
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| [[Category:Writers from Huai'an]]
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| [[Category:Educators from Jiangsu]]
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| [[Category:Nanjing University faculty]]
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| [[Category:Scientists from Jiangsu]]
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Nice to meet you, I am Marvella Shryock. For many years he's been living in North Dakota and his family enjoys it. It's not a common factor but what she likes performing is base leaping and now she is attempting to earn money with it. My working day occupation is a meter reader.
Also visit my web blog: home std test kit