Carries, Group Theory, and Additive Combinatorics
Diaconis, Persi, Shao, Xuancheng, Soundararajan, Kannan
Published in The American mathematical monthly (01.10.2014)
Published in The American mathematical monthly (01.10.2014)
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Journal Article
Bombieri-Vinogradov for multiplicative functions, and beyond the x1/2-barrier
Granville, Andrew, Shao, Xuancheng
Published in Advances in mathematics (New York. 1965) (09.07.2019)
Published in Advances in mathematics (New York. 1965) (09.07.2019)
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Journal Article
A robust version of Freiman's 3k–4 Theorem and applications
SHAO, XUANCHENG, XU, WENQIANG
Published in Mathematical proceedings of the Cambridge Philosophical Society (01.05.2019)
Published in Mathematical proceedings of the Cambridge Philosophical Society (01.05.2019)
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Journal Article
When the sieve works II
Matomäki, Kaisa, Shao, Xuancheng
Published in Journal für die reine und angewandte Mathematik (01.06.2020)
Published in Journal für die reine und angewandte Mathematik (01.06.2020)
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Large values of the additive energy in and
SHAO, XUANCHENG
Published in Mathematical proceedings of the Cambridge Philosophical Society (01.03.2014)
Published in Mathematical proceedings of the Cambridge Philosophical Society (01.03.2014)
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Journal Article
Large values of the additive energy in ${\mathbb{R}^d$ and ${\mathbb{Z}^d
SHAO, XUANCHENG
Published in Mathematical proceedings of the Cambridge Philosophical Society (01.03.2014)
Published in Mathematical proceedings of the Cambridge Philosophical Society (01.03.2014)
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Journal Article
A robust version of Freiman's 3 k –4 Theorem and applications
SHAO, XUANCHENG, XU, WENQIANG
Published in Mathematical proceedings of the Cambridge Philosophical Society (01.05.2019)
Published in Mathematical proceedings of the Cambridge Philosophical Society (01.05.2019)
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Journal Article
Higher uniformity of arithmetic functions in short intervals I. All intervals
Matomäki, Kaisa, Shao, Xuancheng, Tao, Terence, Teräväinen, Joni
Published in Forum of mathematics. Pi (19.10.2023)
Published in Forum of mathematics. Pi (19.10.2023)
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