Edit Profile (opens in new tab) Zhao, Liangyi Co-Author Distance Author ID: zhao.liangyi Published as: Zhao, Liangyi; Zhao, L. Documents Indexed: 68 Publications since 2004, including 18 Additional arXiv Preprints Co-Authors: 10 Co-Authors with 62 Joint Publications 358 Co-Co-Authors all top 5 Co-Authors 5 single-authored 43 Gao, Peng 13 Baier, Stephan 2 Baker, Roger C. 1 Browning, Timothy Daniel 1 Corrigan, Chandler C. 1 Foo, Timothy 1 Gao, Pheng 1 Lynch, Sean B. 1 Marasingha, Gihan 1 Shparlinski, Igor E. 1 Wu, Jianglun all top 5 Serials 6 Acta Arithmetica 5 Journal of Number Theory 4 International Journal of Number Theory 3 Functiones et Approximatio. Commentarii Mathematici 2 Bulletin of the Australian Mathematical Society 2 Mathematische Zeitschrift 2 Mathematika 2 Monatshefte für Mathematik 2 The Quarterly Journal of Mathematics 2 Journal of the Australian Mathematical Society 1 Advances in Mathematics 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 Hardy-Ramanujan Journal 1 Revista Matemática Iberoamericana 1 Journal of the Ramanujan Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Indagationes Mathematicae. New Series 1 New Zealand Journal of Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Finite Fields and their Applications 1 Integers 1 Moscow Journal of Combinatorics and Number Theory 1 Research in Number Theory Fields 65 Number theory (11-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 226 times in 124 Documents Cited by ▼ Year ▼ Large sieve inequality with characters to square moduli. Zbl 1060.11055 Zhao, Liangyi 23 2004 An improvement for the large sieve for square moduli. Zbl 1225.11121 Baier, Stephan; Zhao, Liangyi 21 2008 Large sieve inequalities for quartic characters. Zbl 1282.11104 Gao, Peng; Zhao, Liangyi 14 2012 One-level density of low-lying zeros of quadratic and quartic Hecke \(L\)-functions. Zbl 1469.11287 Gao, Peng; Zhao, Liangyi 13 2020 Oscillations of Hecke eigenvalues at shifted primes. Zbl 1170.11024 Zhao, Liangyi 12 2006 Bombieri-Vinogradov type theorems for sparse sets of moduli. Zbl 1149.11045 Baier, Stephan; Zhao, Liangyi 12 2006 The Sato-Tate conjecture on average for small angles. Zbl 1246.11115 Baier, Stephan; Zhao, Liangyi 12 2009 Large sieve inequality with characters for powerful moduli. Zbl 1083.11060 Baier, Stephan; Zhao, Liangyi 11 2005 One level density of low-lying zeros of families of \(L\)-functions. Zbl 1230.11111 Gao, Peng; Zhao, Liangyi 10 2011 Gaps between primes in Beatty sequences. Zbl 1350.11008 Baker, Roger C.; Zhao, Liangyi 10 2016 Primes in quadratic progressions on average. Zbl 1136.11059 Baier, Stephan; Zhao, Liangyi 8 2007 Averages of shifted convolutions of \(d_3(n)\). Zbl 1264.11083 Baier, S.; Browning, T. D.; Marasingha, G.; Zhao, L. 8 2012 On primes in quadratic progressions. Zbl 1221.11197 Baier, Stephan; Zhao, Liangyi 7 2009 On primes represented by cubic polynomials. Zbl 1348.11069 Foo, Timothy; Zhao, Liangyi 6 2013 First moment of Hecke \(L\)-functions with quartic characters at the central point. Zbl 1442.11128 Gao, Peng; Zhao, Liangyi 6 2020 Mean values of some Hecke characters. Zbl 1441.11191 Gao, Peng; Zhao, Liangyi 6 2019 On the low-lying zeros of Hasse-Weil \(L\)-functions for elliptic curves. Zbl 1223.11078 Baier, Stephan; Zhao, Liangyi 5 2008 Moments of quadratic Hecke \(L\)-functions of imaginary quadratic number fields. Zbl 1468.11186 Gao, Peng; Zhao, Liangyi 5 2020 Elliptic curves in isogeny classes. Zbl 1444.11122 Shparlinski, Igor E.; Zhao, Liangyi 5 2018 Large sieve inequality with quadratic amplitudes. Zbl 1181.11060 Zhao, Liangyi 4 2007 Moments of central values of quartic Dirichlet \(L\)-functions. Zbl 1486.11100 Gao, Peng; Zhao, Liangyi 4 2021 On Hecke eigenvalues at Piatetski-Shapiro primes. Zbl 1219.11067 Baier, Stephan; Zhao, Liangyi 3 2010 A lower bound for the large sieve with square moduli. Zbl 1457.11130 Baier, Stephan; Lynch, Sean B.; Zhao, Liangyi 3 2019 An improvement of a large sieve inequality in high dimensions. Zbl 1135.11047 Zhao, Liangyi 2 2005 Mean values of cubic and quartic Dirichlet characters. Zbl 1473.11156 Gao, Peng; Zhao, Liangyi 2 2020 Average values of quadratic Hecke character sums. Zbl 1503.11112 Gao, Peng; Zhao, Liangyi 2 2022 One level density of low-lying zeros of quadratic Hecke \(L\)-functions to prime moduli. Zbl 1480.11105 Gao, Peng; Zhao, Liangyi 2 2020 On primes represented by quadratic polynomials. Zbl 1186.11059 Baier, Stephan; Zhao, Liangyi 1 2008 Large sieve inequalities for special characters to prime square moduli. Zbl 1063.11032 Zhao, Liangyi 1 2004 Zero density theorems for families of Dirichlet \(L\)-functions. Zbl 07760887 Corrigan, Chandler C.; Zhao, Liangyi 1 2023 First moment of central values of quadratic Hecke \(L\)-functions in the Gaussian field. Zbl 07720855 Gao, Peng; Zhao, Liangyi 1 2023 Moments of quadratic Dirichlet \(L\)-functions over function fields. Zbl 1499.11347 Gao, Peng; Zhao, Liangyi 1 2023 Bounds for moments of quadratic Dirichlet \(L\)-functions of prime-related moduli. Zbl 1506.11111 Gao, Peng; Zhao, Liangyi 1 2023 Bounds for moments of cubic and quartic Dirichlet \(L\)-functions. Zbl 1517.11107 Gao, Peng; Zhao, Liangyi 1 2022 One-level density of low-lying zeros of quadratic Hecke \(L\)-functions of imaginary quadratic number fields. Zbl 1508.11083 Gao, Peng; Zhao, Liangyi 1 2022 Lower-order terms of the one-level density of a family of quadratic Hecke \(L\)-functions. Zbl 07661044 Gao, Peng; Zhao, Liangyi 1 2023 Gaps of smallest possible order between primes in an arithmetic progression. Zbl 1404.11110 Baker, Roger C.; Zhao, Liangyi 1 2016 Zero density theorems for families of Dirichlet \(L\)-functions. Zbl 07760887 Corrigan, Chandler C.; Zhao, Liangyi 1 2023 First moment of central values of quadratic Hecke \(L\)-functions in the Gaussian field. Zbl 07720855 Gao, Peng; Zhao, Liangyi 1 2023 Moments of quadratic Dirichlet \(L\)-functions over function fields. Zbl 1499.11347 Gao, Peng; Zhao, Liangyi 1 2023 Bounds for moments of quadratic Dirichlet \(L\)-functions of prime-related moduli. Zbl 1506.11111 Gao, Peng; Zhao, Liangyi 1 2023 Lower-order terms of the one-level density of a family of quadratic Hecke \(L\)-functions. Zbl 07661044 Gao, Peng; Zhao, Liangyi 1 2023 Average values of quadratic Hecke character sums. Zbl 1503.11112 Gao, Peng; Zhao, Liangyi 2 2022 Bounds for moments of cubic and quartic Dirichlet \(L\)-functions. Zbl 1517.11107 Gao, Peng; Zhao, Liangyi 1 2022 One-level density of low-lying zeros of quadratic Hecke \(L\)-functions of imaginary quadratic number fields. Zbl 1508.11083 Gao, Peng; Zhao, Liangyi 1 2022 Moments of central values of quartic Dirichlet \(L\)-functions. Zbl 1486.11100 Gao, Peng; Zhao, Liangyi 4 2021 One-level density of low-lying zeros of quadratic and quartic Hecke \(L\)-functions. Zbl 1469.11287 Gao, Peng; Zhao, Liangyi 13 2020 First moment of Hecke \(L\)-functions with quartic characters at the central point. Zbl 1442.11128 Gao, Peng; Zhao, Liangyi 6 2020 Moments of quadratic Hecke \(L\)-functions of imaginary quadratic number fields. Zbl 1468.11186 Gao, Peng; Zhao, Liangyi 5 2020 Mean values of cubic and quartic Dirichlet characters. Zbl 1473.11156 Gao, Peng; Zhao, Liangyi 2 2020 One level density of low-lying zeros of quadratic Hecke \(L\)-functions to prime moduli. Zbl 1480.11105 Gao, Peng; Zhao, Liangyi 2 2020 Mean values of some Hecke characters. Zbl 1441.11191 Gao, Peng; Zhao, Liangyi 6 2019 A lower bound for the large sieve with square moduli. Zbl 1457.11130 Baier, Stephan; Lynch, Sean B.; Zhao, Liangyi 3 2019 Elliptic curves in isogeny classes. Zbl 1444.11122 Shparlinski, Igor E.; Zhao, Liangyi 5 2018 Gaps between primes in Beatty sequences. Zbl 1350.11008 Baker, Roger C.; Zhao, Liangyi 10 2016 Gaps of smallest possible order between primes in an arithmetic progression. Zbl 1404.11110 Baker, Roger C.; Zhao, Liangyi 1 2016 On primes represented by cubic polynomials. Zbl 1348.11069 Foo, Timothy; Zhao, Liangyi 6 2013 Large sieve inequalities for quartic characters. Zbl 1282.11104 Gao, Peng; Zhao, Liangyi 14 2012 Averages of shifted convolutions of \(d_3(n)\). Zbl 1264.11083 Baier, S.; Browning, T. D.; Marasingha, G.; Zhao, L. 8 2012 One level density of low-lying zeros of families of \(L\)-functions. Zbl 1230.11111 Gao, Peng; Zhao, Liangyi 10 2011 On Hecke eigenvalues at Piatetski-Shapiro primes. Zbl 1219.11067 Baier, Stephan; Zhao, Liangyi 3 2010 The Sato-Tate conjecture on average for small angles. Zbl 1246.11115 Baier, Stephan; Zhao, Liangyi 12 2009 On primes in quadratic progressions. Zbl 1221.11197 Baier, Stephan; Zhao, Liangyi 7 2009 An improvement for the large sieve for square moduli. Zbl 1225.11121 Baier, Stephan; Zhao, Liangyi 21 2008 On the low-lying zeros of Hasse-Weil \(L\)-functions for elliptic curves. Zbl 1223.11078 Baier, Stephan; Zhao, Liangyi 5 2008 On primes represented by quadratic polynomials. Zbl 1186.11059 Baier, Stephan; Zhao, Liangyi 1 2008 Primes in quadratic progressions on average. Zbl 1136.11059 Baier, Stephan; Zhao, Liangyi 8 2007 Large sieve inequality with quadratic amplitudes. Zbl 1181.11060 Zhao, Liangyi 4 2007 Oscillations of Hecke eigenvalues at shifted primes. Zbl 1170.11024 Zhao, Liangyi 12 2006 Bombieri-Vinogradov type theorems for sparse sets of moduli. Zbl 1149.11045 Baier, Stephan; Zhao, Liangyi 12 2006 Large sieve inequality with characters for powerful moduli. Zbl 1083.11060 Baier, Stephan; Zhao, Liangyi 11 2005 An improvement of a large sieve inequality in high dimensions. Zbl 1135.11047 Zhao, Liangyi 2 2005 Large sieve inequality with characters to square moduli. Zbl 1060.11055 Zhao, Liangyi 23 2004 Large sieve inequalities for special characters to prime square moduli. Zbl 1063.11032 Zhao, Liangyi 1 2004 all cited Publications top 5 cited Publications all top 5 Cited by 118 Authors 30 Zhao, Liangyi 20 Gao, Peng 17 Baier, Stephan 14 Shparlinski, Igor E. 4 Bansal, Arpit 4 Halupczok, Karin 4 Singh, Rajneesh Kumar 3 Heyman, Randell 3 Lu, Guangshi 3 Munsch, Marc 3 Prabhu, Neha 3 Sha, Min 3 Sun, Qingfeng 2 Baker, Roger C. 2 Banks, William David 2 Bauer, Claus 2 Bordellès, Olivier 2 Cho, Peter Jaehyun 2 Corrigan, Chandler C. 2 Hou, Fei 2 Lou, Miao 2 Murty, Maruti Ram 2 Pi, Qinghua 2 Ramana, D. S. 2 Zhai, Wenguang 1 Acevedo Agudelo, Yeisson Alexis 1 Acharya, Ratnadeep 1 Agwu, Anthony 1 Akhilesh, P. 1 Aletheia-Zomlefer, Soren Laing 1 Alkan, Emre 1 Bagshaw, Christian 1 Balestrieri, Francesca 1 Bourgain, Jean 1 Cao, Xiaodong 1 Carneiro, Emanuel 1 Čech, Martin 1 Chirre, Andrés 1 Coppola, Giovanni 1 Dai, Lixia 1 David, Chantal 1 de la Bretèche, Régis 1 Foo, Timothy 1 Ford, Kevin B. 1 Freiberg, Tristan 1 Fukshansky, Lenny 1 Garcia, Stephan Ramon 1 Gillman, Nate 1 Guo, Victor Zhenyu 1 Harris, Phillip 1 Irving, Alastair James 1 Ivić, Aleksandar 1 James, Kevin 1 Ji, Caleb 1 Jiang, Yujiao 1 Kane, Ben 1 Kannan, Siddarth 1 Kazdan, Joshua 1 Kim, Henry H. 1 Kim, Jiseong 1 Konyagin, Sergeĭ Vladimirovich 1 Koukoulopoulos, Dimitris 1 Kural, Michael 1 Lamzouri, Youness 1 Lao, Huixue 1 Laporta, Maurizio B. S. 1 Li, Huixi 1 Lin, Hua 1 Lynch, Sean B. 1 Matomäki, Kaisa 1 Maynard, James 1 McDonald, Vaughan 1 Merikoski, Jori 1 Milinovich, Micah B. 1 Miller, Steven J. 1 Nikolic, Dion 1 Pan, Hao 1 Pappalardi, Francesco 1 Park, Jeongho 1 Pascadi, Alexandru 1 Peng, Junyao 1 Pomerance, Carl Bernard 1 Prakash, Gyan 1 Pujahari, Sudhir 1 Qi, Jinyun 1 Radziwiłł, Maksym 1 Ren, Xiumin 1 Rome, Nick 1 Sah, Ashwin 1 Sankaranarayanan, Ayyadurai 1 Sarnak, Peter Clive 1 Shao, Xuancheng 1 Shin, Sug Woo 1 Shkredov, Il’ya Dmitrievich 1 Singh, Saurabh Kumar 1 Sinha, Kaneenika 1 Skorobogatov, Alexei Nikolaïevitch 1 Smith, Ethan 1 Sofos, Efthymios 1 Sun, Haiwei ...and 18 more Authors all top 5 Cited in 46 Serials 20 Journal of Number Theory 13 International Journal of Number Theory 9 Acta Arithmetica 7 Mathematische Zeitschrift 6 Monatshefte für Mathematik 5 Functiones et Approximatio. Commentarii Mathematici 4 The Ramanujan Journal 3 Bulletin of the Australian Mathematical Society 3 Mathematika 3 Journal of the Ramanujan Mathematical Society 3 Acta Mathematica Sinica. English Series 2 Advances in Mathematics 2 Mathematische Annalen 2 Forum Mathematicum 2 Indagationes Mathematicae. New Series 2 Experimental Mathematics 2 Journal de Théorie des Nombres de Bordeaux 2 Finite Fields and their Applications 2 Journal of the Australian Mathematical Society 2 Frontiers of Mathematics in China 2 Science China. Mathematics 2 Research in Number Theory 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Expositiones Mathematicae 1 Taiwanese Journal of Mathematics 1 LMS Journal of Computation and Mathematics 1 Integers 1 JP Journal of Algebra, Number Theory and Applications 1 Central European Journal of Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Mathematical Inequalities 1 Japanese Journal of Mathematics. 3rd Series 1 Moscow Journal of Combinatorics and Number Theory 1 Journal of Numbers 1 Discrete Analysis Cited in 5 Fields 124 Number theory (11-XX) 9 Algebraic geometry (14-XX) 2 Probability theory and stochastic processes (60-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) Citations by Year