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Author ID: zhao.liangyi Recent zbMATH articles by "Zhao, Liangyi"
Published as: Zhao, Liangyi; Zhao, L.

Publications by Year

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 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

Citations by Year