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## Liu, Ming-Chit

Compute Distance To:
 Author ID: liu.ming-chit Published as: Liu, Ming-Chit; Liu, M.-C.; Liu, M. C.
 Documents Indexed: 62 Publications since 1969, including 1 Book Reviewing Activity: 174 Reviews
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#### Co-Authors

 21 single-authored 10 Tsang, Kai-Man 9 Wang, Tianze 8 Liu, Jianya 4 Zhan, Tao 3 Lau, Kee-Wai 2 Choi, Kwok-Kwong Stephen 2 Lau, Yau-Luen 2 Leung, Man-Cheung 1 Bauer, Claus 1 Chan, Kai-Yuen 1 Chan, Lingyau 1 Chiu, Shung-Fu 1 Chong, Kwok-Kei 1 Cochrane, Todd 1 Jia, Chaohua 1 Ng, Shu Ming 1 Wang, Yuan 1 Zheng, Zhiyong
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#### Serials

 5 Journal of Number Theory 5 Monatshefte für Mathematik 5 Proceedings of the American Mathematical Society 4 Acta Arithmetica 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 Southeast Asian Bulletin of Mathematics 2 Science in China. Series A 1 Bulletin of the Australian Mathematical Society 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Mathematics Magazine 1 Bulletin of the Calcutta Mathematical Society 1 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Tensor. New Series 1 Acta Mathematica Hungarica 1 Journal of the Australian Mathematical Society. Series A 1 Journal de Théorie des Nombres de Bordeaux 1 The Asian Journal of Mathematics 1 Journal of Shandong University. Natural Science 1 Proceedings of the Cambridge Philosophical Society
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#### Fields

 49 Number theory (11-XX) 5 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX)

#### Citations contained in zbMATH Open

39 Publications have been cited 226 times in 125 Documents Cited by Year
On generalized quadratic equations in three prime variables. Zbl 0779.11045
Leung, Man-Cheung; Liu, Ming-Chit
1993
The exceptional set in the four prime squares problem. Zbl 0942.11044
Liu, Jianya; Liu, Ming-Chit
2000
Squares of primes and powers of 2. Zbl 0940.11047
Liu, Jianya; Liu, Ming-Chit; Zhan, Tao
1999
The number of powers of 2 in a representation of large even integers. II. Zbl 0924.11086
Liu, Jianya; Liu, Ming-Chit; Wang, Tianze
1998
Small prime solutions of some additive equations. Zbl 0719.11064
Liu, Ming-Chit; Tsang, Kai-Man
1991
On a sum of three prime squares. Zbl 0961.11034
Bauer, Claus; Liu, Ming-Chit; Zhan, Tao
2000
Representation of even integers as sums of squares of primes and powers of 2. Zbl 0961.11035
Liu, Jianya; Liu, Ming-Chit
2000
The Goldbach problem with primes in arithmetic progressions. Zbl 0913.11043
Liu, Ming-Chit; Zhan, Tao
1997
The number of powers of 2 in a representation of large even integers. I. Zbl 1029.11049
Liu, Jianya; Liu, Ming-Chit; Wang, Tianze
1998
On the almost Goldbach problem of Linnik. Zbl 0979.11051
Liu, Jianya; Liu, Ming-Chit; Wang, Tianze
1999
A numerical bound for small prime solutions of some ternary linear equations. Zbl 0918.11053
Liu, Ming-Chit; Wang, Tianze
1998
Representation of even integers by cubes of primes and powers of 2. Zbl 0980.11045
Liu, J.; Liu, M.-C.
2001
Distribution of zeros of Dirichlet $$L$$-functions and an explicit formula for $$\psi(t,\chi)$$. Zbl 0997.11068
Liu, Ming-Chit; Wang, Tianze
2002
On pairs of linear equations in three prime variables and an application to Goldbach’s problem. Zbl 0667.10030
Liu, Ming-Chit; Tsang, Kai-Man
1989
Small prime solutions of linear equations. Zbl 0682.10043
Liu, Ming-Chit; Tsang, Kai-Man
1989
On the Vinogradov bound in the three primes Goldbach conjecture. Zbl 1019.11026
Liu, Ming-Chit; Wang, Tianze
2002
On the fractional parts of $$\theta n^ k$$ and $$\varphi n^ k$$. Zbl 0206.05802
Liu, M.-C.
1970
Bounds for prime solutions of some diagonal equations. Zbl 0488.10046
Liu, Ming-Chit
1982
On the largest prime factor of integers. Zbl 1161.11384
Jia, Chaohua; Liu, Ming-Chit
2000
Conditional bounds for small prime solutions of linear equations. Zbl 0753.11033
Choi, Kwok-Kwong; Liu, Ming-Chit; Tsang, Kai-Man
1992
On a result of Davenport and Halberstam. Zbl 0182.37602
Liu, M.-C.
1969
Some properties of asymptotic functions. Zbl 0439.41022
Chan, L. Y.; Chen, Y. M.; Liu, M. C.
1980
On the derivative of some analytic functions. Zbl 0257.30001
Liu, Ming-Chit
1973
Simultaneous approximation of two additive forms. Zbl 0273.10029
Liu, Ming-Chit
1974
Approximation by a sum of polynomials involving primes. Zbl 0387.10029
Liu, Ming-Chit
1978
An improved estimate for certain diophantine inequalities. Zbl 0397.10023
Liu, Ming-Chit; Ng, Shu-Ming; Tsang, Kai-Man
1980
Linear approximation by primes. Zbl 0401.10029
Lau, Kee-Wai; Liu, Ming-Chit
1978
An improved bound for prime solutions of some ternary equations. Zbl 0602.10040
Liu, Ming-Chit
1987
A bound for prime solutions of some ternary equations. Zbl 0559.10030
Liu, Ming-Chit
1985
Recent progress on a problem of A. Baker. Zbl 0826.11045
Liu, Ming-Chit; Tsang, Kai-Man
1994
On the equation $$a_1p_1 + a_2p_2 + a_3p_3 = b$$ with prime variables in arithmetic progressions. Zbl 0977.11045
Liu, Ming-Chit; Wang, Tianze
1999
Small prime solutions of a pair of linear equations in five variables. Zbl 0812.11057
Liu, Ming-Chit; Tsang, Kai-Man
1991
Squares of primes and powers of 2. II. Zbl 0997.11082
Liu, Jianya; Liu, Ming-Chit; Zhan, Tao
2002
On binary equations. Zbl 0517.10050
Liu, Ming-Chit
1983
Upper bounds on $$n$$-dimensional Kloosterman sums. Zbl 1121.11054
Cochrane, Todd; Liu, Ming-Chit; Zheng, Zhiyong
2004
On functions of bounded boundary rotation. Zbl 0215.12701
Liu, M.-C.
1971
Simultaneous approximation of additive forms. Zbl 0305.10024
Liu, Ming-Chit
1975
On Littlewood’s conjectural inequalities. Zbl 0177.32701
Chen, Y. M.; Liu, M. C.
1969
On a theorem of Heilbronn concerning the fractional part of $$\theta n^ 2$$. Zbl 0205.06701
Liu, M.-C.
1970
Upper bounds on $$n$$-dimensional Kloosterman sums. Zbl 1121.11054
Cochrane, Todd; Liu, Ming-Chit; Zheng, Zhiyong
2004
Distribution of zeros of Dirichlet $$L$$-functions and an explicit formula for $$\psi(t,\chi)$$. Zbl 0997.11068
Liu, Ming-Chit; Wang, Tianze
2002
On the Vinogradov bound in the three primes Goldbach conjecture. Zbl 1019.11026
Liu, Ming-Chit; Wang, Tianze
2002
Squares of primes and powers of 2. II. Zbl 0997.11082
Liu, Jianya; Liu, Ming-Chit; Zhan, Tao
2002
Representation of even integers by cubes of primes and powers of 2. Zbl 0980.11045
Liu, J.; Liu, M.-C.
2001
The exceptional set in the four prime squares problem. Zbl 0942.11044
Liu, Jianya; Liu, Ming-Chit
2000
On a sum of three prime squares. Zbl 0961.11034
Bauer, Claus; Liu, Ming-Chit; Zhan, Tao
2000
Representation of even integers as sums of squares of primes and powers of 2. Zbl 0961.11035
Liu, Jianya; Liu, Ming-Chit
2000
On the largest prime factor of integers. Zbl 1161.11384
Jia, Chaohua; Liu, Ming-Chit
2000
Squares of primes and powers of 2. Zbl 0940.11047
Liu, Jianya; Liu, Ming-Chit; Zhan, Tao
1999
On the almost Goldbach problem of Linnik. Zbl 0979.11051
Liu, Jianya; Liu, Ming-Chit; Wang, Tianze
1999
On the equation $$a_1p_1 + a_2p_2 + a_3p_3 = b$$ with prime variables in arithmetic progressions. Zbl 0977.11045
Liu, Ming-Chit; Wang, Tianze
1999
The number of powers of 2 in a representation of large even integers. II. Zbl 0924.11086
Liu, Jianya; Liu, Ming-Chit; Wang, Tianze
1998
The number of powers of 2 in a representation of large even integers. I. Zbl 1029.11049
Liu, Jianya; Liu, Ming-Chit; Wang, Tianze
1998
A numerical bound for small prime solutions of some ternary linear equations. Zbl 0918.11053
Liu, Ming-Chit; Wang, Tianze
1998
The Goldbach problem with primes in arithmetic progressions. Zbl 0913.11043
Liu, Ming-Chit; Zhan, Tao
1997
Recent progress on a problem of A. Baker. Zbl 0826.11045
Liu, Ming-Chit; Tsang, Kai-Man
1994
On generalized quadratic equations in three prime variables. Zbl 0779.11045
Leung, Man-Cheung; Liu, Ming-Chit
1993
Conditional bounds for small prime solutions of linear equations. Zbl 0753.11033
Choi, Kwok-Kwong; Liu, Ming-Chit; Tsang, Kai-Man
1992
Small prime solutions of some additive equations. Zbl 0719.11064
Liu, Ming-Chit; Tsang, Kai-Man
1991
Small prime solutions of a pair of linear equations in five variables. Zbl 0812.11057
Liu, Ming-Chit; Tsang, Kai-Man
1991
On pairs of linear equations in three prime variables and an application to Goldbach’s problem. Zbl 0667.10030
Liu, Ming-Chit; Tsang, Kai-Man
1989
Small prime solutions of linear equations. Zbl 0682.10043
Liu, Ming-Chit; Tsang, Kai-Man
1989
An improved bound for prime solutions of some ternary equations. Zbl 0602.10040
Liu, Ming-Chit
1987
A bound for prime solutions of some ternary equations. Zbl 0559.10030
Liu, Ming-Chit
1985
On binary equations. Zbl 0517.10050
Liu, Ming-Chit
1983
Bounds for prime solutions of some diagonal equations. Zbl 0488.10046
Liu, Ming-Chit
1982
Some properties of asymptotic functions. Zbl 0439.41022
Chan, L. Y.; Chen, Y. M.; Liu, M. C.
1980
An improved estimate for certain diophantine inequalities. Zbl 0397.10023
Liu, Ming-Chit; Ng, Shu-Ming; Tsang, Kai-Man
1980
Approximation by a sum of polynomials involving primes. Zbl 0387.10029
Liu, Ming-Chit
1978
Linear approximation by primes. Zbl 0401.10029
Lau, Kee-Wai; Liu, Ming-Chit
1978
Simultaneous approximation of additive forms. Zbl 0305.10024
Liu, Ming-Chit
1975
Simultaneous approximation of two additive forms. Zbl 0273.10029
Liu, Ming-Chit
1974
On the derivative of some analytic functions. Zbl 0257.30001
Liu, Ming-Chit
1973
On functions of bounded boundary rotation. Zbl 0215.12701
Liu, M.-C.
1971
On the fractional parts of $$\theta n^ k$$ and $$\varphi n^ k$$. Zbl 0206.05802
Liu, M.-C.
1970
On a theorem of Heilbronn concerning the fractional part of $$\theta n^ 2$$. Zbl 0205.06701
Liu, M.-C.
1970
On a result of Davenport and Halberstam. Zbl 0182.37602
Liu, M.-C.
1969
On Littlewood’s conjectural inequalities. Zbl 0177.32701
Chen, Y. M.; Liu, M. C.
1969
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#### Cited by 91 Authors

 17 Liu, Ming-Chit 14 Liu, Zhixin 12 Lu, Guangshi 9 Bauer, Claus 9 Liu, Jianya 5 Tsang, Kai-Man 5 Wang, Tianze 5 Zhan, Tao 4 Kumchev, Angel V. 3 Baker, Roger C. 3 Bordignon, Matteo 3 Hu, Liqun 3 Kong, Yafang 3 Li, Hongze 3 Tang, Hengcai 2 Bhowmik, Gautami 2 Brüdern, Jörg 2 Cai, Yingchun 2 Cook, Roger J. 2 Halupczok, Karin 2 Liu, Huafeng 2 Liu, Yuhui 2 Lu, Minggao 2 Molteni, Giuseppe 2 Sun, Haiwei 2 Sun, Qingfeng 2 Wooley, Trevor D. 2 Yang, Li 2 Yu, Gang 2 Zhang, Zhenfeng 2 Zhao, Lilu 1 Allakov, I. A. 1 Chen, Yonggao 1 Chiu, Shung-Fu 1 Choi, Kwok-Kwong Stephen 1 Choi, Stephen Kwok-Kwong 1 Chong, Kwok-Kei 1 Cui, Zhen 1 Dubickas, Artūras 1 Gao, Gaiyun 1 Ge, Wenxu 1 Gurak, Stanley J. 1 Harman, Glyn 1 Herzog, Siegfried 1 Hoffman, John W. 1 Kaczorowski, Jerzy 1 Kadiri, Habiba 1 Kerr, Bryce 1 Laporta, Maurizio B. S. 1 Leung, Man-Cheung 1 Lü, Xiaodong 1 Madritsch, Manfred G. 1 Malyshev, Aleksandr Vasil’evich 1 Matsumoto, Kohji 1 McIntosh, Richard J. 1 Meng, Xianmeng 1 Meng, Zaizhao 1 Mu, Quanwu 1 Ng, Shu Ming 1 Pan, Hao 1 Pardi, Silvio 1 Pintz, Janos 1 Platt, David John 1 Podsypanin, Evgeniĭ Vladimirovich 1 Qu, Yunyun 1 Ramaré, Olivier 1 Ren, Xiumin 1 Šarka, Paulius 1 Shao, Xuancheng 1 Shorey, Tarlok Nath 1 Silva, Tomás Oliveira E. 1 Suzuki, Yuta 1 Tao, Terence 1 Tichy, Robert Franz 1 Tijdeman, Robert 1 Tolev, Doychin I. 1 Trudgian, Timothy S. 1 Wang, Mingqiang 1 Wang, Yonghui 1 Wang, Yuchao 1 Wei, Bin 1 Wirths, Karl-Joachim 1 Wu, Jie 1 Xie, Shenggang 1 Xu, Yunfei 1 Yamada, Tomohiro 1 Zhai, Wenguang 1 Zhang, Wei 1 Zhao, Feng 1 Zhao, Wenjia 1 Zhao, Xiaodong
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#### Cited in 34 Serials

 21 Journal of Number Theory 12 Acta Mathematica Sinica. English Series 8 Monatshefte für Mathematik 7 Acta Mathematica Hungarica 7 The Ramanujan Journal 6 Mathematics of Computation 6 Mathematika 5 Rocky Mountain Journal of Mathematics 5 Science in China. Series A 5 Journal de Théorie des Nombres de Bordeaux 5 International Journal of Number Theory 3 Bulletin of the Australian Mathematical Society 3 Transactions of the American Mathematical Society 3 Frontiers of Mathematics in China 2 Lithuanian Mathematical Journal 2 Acta Arithmetica 2 Archiv der Mathematik 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Acta Mathematica Sinica. New Series 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Soviet Mathematics 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Aequationes Mathematicae 1 Russian Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Science China. Mathematics 1 Forum of Mathematics, Sigma

#### Cited in 3 Fields

 122 Number theory (11-XX) 2 Functions of a complex variable (30-XX) 1 General and overarching topics; collections (00-XX)