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Shao, Xuancheng

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 Author ID: shao.xuancheng Published as: Shao, X.; Shao, Xuancheng External Links: MGP · Wikidata
 Documents Indexed: 26 Publications since 2008
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Co-Authors

 11 single-authored 3 Granville, Andrew James 3 Matomäki, Kaisa Sofia 2 Drappeau, Sary 2 Johnson, Steven G. 1 Devadoss, Satyan Linus 1 Diaconis, Persi Warren 1 Kedlaya, Kiran Sridhara 1 Maynard, James 1 Shah, Rahul 1 Soundararajan, Kannan 1 Winston, Ezra M. 1 Xu, Wenqiang
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Serials

 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Signal Processing 2 IMRN. International Mathematics Research Notices 2 Algebra & Number Theory 2 Forum of Mathematics, Sigma 1 American Mathematical Monthly 1 Acta Arithmetica 1 Advances in Mathematics 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Mathematika 1 Proceedings of the London Mathematical Society. Third Series 1 Forum Mathematicum 1 Contributions to Discrete Mathematics 1 Discrete Analysis
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Fields

 21 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX)

Citations contained in zbMATH

18 Publications have been cited 47 times in 40 Documents Cited by Year
Character sums over unions of intervals. Zbl 1326.11043
Shao, Xuancheng
2015
Smooth-supported multiplicative functions in arithmetic progressions beyond the $$x^{1/2}$$-barrier. Zbl 1428.11174
Drappeau, Sary; Granville, Andrew; Shao, Xuancheng
2017
Type-IV DCT, DST, and MDCT algorithms with reduced numbers of arithmetic operations. Zbl 1186.94305
Shao, Xuancheng; Johnson, Steven G.
2008
Bombieri-Vinogradov for multiplicative functions, and beyond the $$x^{1/2}$$-barrier. Zbl 07066543
Granville, Andrew; Shao, Xuancheng
2019
When does the Bombieri-Vinogradov theorem hold for a given multiplicative function? Zbl 1451.11105
Granville, Andrew; Shao, Xuancheng
2018
Vinogradov’s theorem with almost equal summands. Zbl 1400.11132
Matomäki, Kaisa; Maynard, James; Shao, Xuancheng
2017
Vinogradov’s three primes theorem with almost twin primes. Zbl 1395.11120
Matomäki, Kaisa; Shao, Xuancheng
2017
Carries, group theory, and additive combinatorics. Zbl 1310.05210
Diaconis, Persi; Shao, Xuancheng; Soundararajan, Kannan
2014
A density version of the Vinogradov three primes theorem. Zbl 1330.11062
Shao, Xuancheng
2014
Deformations of associahedra and visibility graphs. Zbl 1317.52018
Devadoss, Satyan L.; Shah, Rahul; Shao, Xuancheng; Winston, Ezra
2012
Polynomial values modulo primes on average and sharpness of the larger sieve. Zbl 1331.11083
Shao, Xuancheng
2015
An $$L$$-function-free proof of Vinogradov’s three primes theorem. Zbl 1308.11087
Shao, Xuancheng
2014
Type-II/III DCT/DST algorithms with reduced number of arithmetic operations. Zbl 1186.94306
Shao, Xuancheng; Johnson, Steven G.
2008
A robust version of Freiman’s $$3k-4$$ theorem and applications. Zbl 07054515
Shao, Xuancheng; Xu, Wenqiang
2019
Gowers norms of multiplicative functions in progressions on average. Zbl 1416.11142
Shao, Xuancheng
2017
Weyl sums, mean value estimates, and Waring’s problem with friable numbers. Zbl 1385.11052
Drappeau, Sary; Shao, Xuancheng
2016
Finding linear patterns of complexity one. Zbl 1400.11023
Shao, Xuancheng
2015
Generalizations of product-free subsets. Zbl 1179.20025
Kedlaya, Kiran S.; Shao, Xuancheng
2009
Bombieri-Vinogradov for multiplicative functions, and beyond the $$x^{1/2}$$-barrier. Zbl 07066543
Granville, Andrew; Shao, Xuancheng
2019
A robust version of Freiman’s $$3k-4$$ theorem and applications. Zbl 07054515
Shao, Xuancheng; Xu, Wenqiang
2019
When does the Bombieri-Vinogradov theorem hold for a given multiplicative function? Zbl 1451.11105
Granville, Andrew; Shao, Xuancheng
2018
Smooth-supported multiplicative functions in arithmetic progressions beyond the $$x^{1/2}$$-barrier. Zbl 1428.11174
Drappeau, Sary; Granville, Andrew; Shao, Xuancheng
2017
Vinogradov’s theorem with almost equal summands. Zbl 1400.11132
Matomäki, Kaisa; Maynard, James; Shao, Xuancheng
2017
Vinogradov’s three primes theorem with almost twin primes. Zbl 1395.11120
Matomäki, Kaisa; Shao, Xuancheng
2017
Gowers norms of multiplicative functions in progressions on average. Zbl 1416.11142
Shao, Xuancheng
2017
Weyl sums, mean value estimates, and Waring’s problem with friable numbers. Zbl 1385.11052
Drappeau, Sary; Shao, Xuancheng
2016
Character sums over unions of intervals. Zbl 1326.11043
Shao, Xuancheng
2015
Polynomial values modulo primes on average and sharpness of the larger sieve. Zbl 1331.11083
Shao, Xuancheng
2015
Finding linear patterns of complexity one. Zbl 1400.11023
Shao, Xuancheng
2015
Carries, group theory, and additive combinatorics. Zbl 1310.05210
Diaconis, Persi; Shao, Xuancheng; Soundararajan, Kannan
2014
A density version of the Vinogradov three primes theorem. Zbl 1330.11062
Shao, Xuancheng
2014
An $$L$$-function-free proof of Vinogradov’s three primes theorem. Zbl 1308.11087
Shao, Xuancheng
2014
Deformations of associahedra and visibility graphs. Zbl 1317.52018
Devadoss, Satyan L.; Shah, Rahul; Shao, Xuancheng; Winston, Ezra
2012
Generalizations of product-free subsets. Zbl 1179.20025
Kedlaya, Kiran S.; Shao, Xuancheng
2009
Type-IV DCT, DST, and MDCT algorithms with reduced numbers of arithmetic operations. Zbl 1186.94305
Shao, Xuancheng; Johnson, Steven G.
2008
Type-II/III DCT/DST algorithms with reduced number of arithmetic operations. Zbl 1186.94306
Shao, Xuancheng; Johnson, Steven G.
2008
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Cited by 62 Authors

 5 Shao, Xuancheng 5 Shparlinski, Igor E. 3 Granville, Andrew James 2 Britaňák, Vladimír 2 Cetina, Mario 2 Chan, Tsz Ho 2 Dietmann, Rainer 2 Drappeau, Sary 2 Elsholtz, Christian 2 Leanos, Jesus 2 Roy, Arindam 2 Salazar, Gelasio 2 Vatwani, Akshaa 1 Ábrego, Bernardo Manuel 1 Aichholzer, Oswin 1 Arriëns, Huibert J. Lincklaen 1 Banks, William D. 1 Benedetto, Robert L. 1 Blanco-Velasco, Manuel 1 Bourgain, Jean 1 Braun, Benjamin 1 Cruz-Roldán, Fernando 1 Diaconis, Persi Warren 1 Ehrenborg, Richard 1 Fabila-Monroy, Ruy 1 Fulman, Jason E. 1 García, Juan Manuel 1 Ge, Gennian 1 Heath-Brown, David Roger 1 Hellus, Michael 1 Ingram, Patrick 1 Jones, Rafe 1 Kober, V. I. 1 Konyagin, Sergeĭ Vladimirovich 1 Liu, Jianhua 1 Manes, Michelle 1 Maynard, James 1 Melnikov, Alexander V. 1 Monopoli, Francesco 1 Mora-Mora, Higinio 1 Osés-del Campo, José David 1 Perera, Sirani M. 1 Pinto-Benel, Freddy A. 1 Rechenauer, Anton 1 Ruzsa, Imre Z. 1 Sagdeev, A. A. 1 Sanders, Tom 1 Shen, Quanli 1 Signes, María Teresa 1 Silverman, Joseph Hillel 1 Tao, Terence 1 Tărnăuceanu, Marius 1 Teräväinen, Joni 1 Tolev, Doychin I. 1 Topacogullari, Berke 1 Tucker, Thomas John 1 Urrutia Galicia, Jorge L. 1 Vokhmintcev, A. V. 1 Waldi, Rolf 1 Xu, Wenqiang 1 Xu, Zixiang 1 Zhu, Wenbin
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Cited in 28 Serials

 5 Mathematika 2 Advances in Mathematics 2 Archiv der Mathematik 2 Transactions of the American Mathematical Society 2 Signal Processing 2 Integers 2 Proceedings of the Steklov Institute of Mathematics 2 Forum of Mathematics, Sigma 1 Information Processing Letters 1 Journal of the Franklin Institute 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Canadian Journal of Mathematics 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Journal of Number Theory 1 Semigroup Forum 1 Advances in Applied Mathematics 1 Mathematical and Computer Modelling 1 SIAM Journal on Discrete Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Doklady Mathematics 1 The Ramanujan Journal 1 International Journal of Number Theory 1 Algebra & Number Theory 1 Japanese Journal of Mathematics. 3rd Series
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Cited in 12 Fields

 27 Number theory (11-XX) 6 Information and communication theory, circuits (94-XX) 5 Numerical analysis (65-XX) 3 Convex and discrete geometry (52-XX) 3 Computer science (68-XX) 2 Group theory and generalizations (20-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Abstract harmonic analysis (43-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX)

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