Edit Profile Shao, Xuancheng Compute Distance To: Compute Author ID: shao.xuancheng Published as: Shao, X.; Shao, Xuancheng External Links: MGP · Wikidata Documents Indexed: 26 Publications since 2008 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 18 Publications have been cited 47 times in 40 Documents Cited by ▼ Year ▼ Character sums over unions of intervals. Zbl 1326.11043Shao, Xuancheng 6 2015 Smooth-supported multiplicative functions in arithmetic progressions beyond the \(x^{1/2}\)-barrier. Zbl 1428.11174Drappeau, Sary; Granville, Andrew; Shao, Xuancheng 5 2017 Type-IV DCT, DST, and MDCT algorithms with reduced numbers of arithmetic operations. Zbl 1186.94305Shao, Xuancheng; Johnson, Steven G. 4 2008 Bombieri-Vinogradov for multiplicative functions, and beyond the \(x^{1/2}\)-barrier. Zbl 07066543Granville, Andrew; Shao, Xuancheng 3 2019 When does the Bombieri-Vinogradov theorem hold for a given multiplicative function? Zbl 1451.11105Granville, Andrew; Shao, Xuancheng 3 2018 Vinogradov’s theorem with almost equal summands. Zbl 1400.11132Matomäki, Kaisa; Maynard, James; Shao, Xuancheng 3 2017 Vinogradov’s three primes theorem with almost twin primes. Zbl 1395.11120Matomäki, Kaisa; Shao, Xuancheng 3 2017 Carries, group theory, and additive combinatorics. Zbl 1310.05210Diaconis, Persi; Shao, Xuancheng; Soundararajan, Kannan 3 2014 A density version of the Vinogradov three primes theorem. Zbl 1330.11062Shao, Xuancheng 3 2014 Deformations of associahedra and visibility graphs. Zbl 1317.52018Devadoss, Satyan L.; Shah, Rahul; Shao, Xuancheng; Winston, Ezra 3 2012 Polynomial values modulo primes on average and sharpness of the larger sieve. Zbl 1331.11083Shao, Xuancheng 2 2015 An \(L\)-function-free proof of Vinogradov’s three primes theorem. Zbl 1308.11087Shao, Xuancheng 2 2014 Type-II/III DCT/DST algorithms with reduced number of arithmetic operations. Zbl 1186.94306Shao, Xuancheng; Johnson, Steven G. 2 2008 A robust version of Freiman’s \(3k-4\) theorem and applications. Zbl 07054515Shao, Xuancheng; Xu, Wenqiang 1 2019 Gowers norms of multiplicative functions in progressions on average. Zbl 1416.11142Shao, Xuancheng 1 2017 Weyl sums, mean value estimates, and Waring’s problem with friable numbers. Zbl 1385.11052Drappeau, Sary; Shao, Xuancheng 1 2016 Finding linear patterns of complexity one. Zbl 1400.11023Shao, Xuancheng 1 2015 Generalizations of product-free subsets. Zbl 1179.20025Kedlaya, Kiran S.; Shao, Xuancheng 1 2009 Bombieri-Vinogradov for multiplicative functions, and beyond the \(x^{1/2}\)-barrier. Zbl 07066543Granville, Andrew; Shao, Xuancheng 3 2019 A robust version of Freiman’s \(3k-4\) theorem and applications. Zbl 07054515Shao, Xuancheng; Xu, Wenqiang 1 2019 When does the Bombieri-Vinogradov theorem hold for a given multiplicative function? Zbl 1451.11105Granville, Andrew; Shao, Xuancheng 3 2018 Smooth-supported multiplicative functions in arithmetic progressions beyond the \(x^{1/2}\)-barrier. Zbl 1428.11174Drappeau, Sary; Granville, Andrew; Shao, Xuancheng 5 2017 Vinogradov’s theorem with almost equal summands. Zbl 1400.11132Matomäki, Kaisa; Maynard, James; Shao, Xuancheng 3 2017 Vinogradov’s three primes theorem with almost twin primes. Zbl 1395.11120Matomäki, Kaisa; Shao, Xuancheng 3 2017 Gowers norms of multiplicative functions in progressions on average. Zbl 1416.11142Shao, Xuancheng 1 2017 Weyl sums, mean value estimates, and Waring’s problem with friable numbers. Zbl 1385.11052Drappeau, Sary; Shao, Xuancheng 1 2016 Character sums over unions of intervals. Zbl 1326.11043Shao, Xuancheng 6 2015 Polynomial values modulo primes on average and sharpness of the larger sieve. Zbl 1331.11083Shao, Xuancheng 2 2015 Finding linear patterns of complexity one. Zbl 1400.11023Shao, Xuancheng 1 2015 Carries, group theory, and additive combinatorics. Zbl 1310.05210Diaconis, Persi; Shao, Xuancheng; Soundararajan, Kannan 3 2014 A density version of the Vinogradov three primes theorem. Zbl 1330.11062Shao, Xuancheng 3 2014 An \(L\)-function-free proof of Vinogradov’s three primes theorem. Zbl 1308.11087Shao, Xuancheng 2 2014 Deformations of associahedra and visibility graphs. Zbl 1317.52018Devadoss, Satyan L.; Shah, Rahul; Shao, Xuancheng; Winston, Ezra 3 2012 Generalizations of product-free subsets. Zbl 1179.20025Kedlaya, Kiran S.; Shao, Xuancheng 1 2009 Type-IV DCT, DST, and MDCT algorithms with reduced numbers of arithmetic operations. Zbl 1186.94305Shao, Xuancheng; Johnson, Steven G. 4 2008 Type-II/III DCT/DST algorithms with reduced number of arithmetic operations. Zbl 1186.94306Shao, Xuancheng; Johnson, Steven G. 2 2008 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.