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Liu, Ming-Chit

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Author ID: liu.ming-chit Recent zbMATH articles by "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

Publications by Year

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
23
1993
The exceptional set in the four prime squares problem. Zbl 0942.11044
Liu, Jianya; Liu, Ming-Chit
23
2000
Squares of primes and powers of 2. Zbl 0940.11047
Liu, Jianya; Liu, Ming-Chit; Zhan, Tao
21
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
17
1998
Small prime solutions of some additive equations. Zbl 0719.11064
Liu, Ming-Chit; Tsang, Kai-Man
13
1991
On a sum of three prime squares. Zbl 0961.11034
Bauer, Claus; Liu, Ming-Chit; Zhan, Tao
11
2000
Representation of even integers as sums of squares of primes and powers of 2. Zbl 0961.11035
Liu, Jianya; Liu, Ming-Chit
11
2000
The Goldbach problem with primes in arithmetic progressions. Zbl 0913.11043
Liu, Ming-Chit; Zhan, Tao
10
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
9
1998
On the almost Goldbach problem of Linnik. Zbl 0979.11051
Liu, Jianya; Liu, Ming-Chit; Wang, Tianze
8
1999
A numerical bound for small prime solutions of some ternary linear equations. Zbl 0918.11053
Liu, Ming-Chit; Wang, Tianze
7
1998
Representation of even integers by cubes of primes and powers of 2. Zbl 0980.11045
Liu, J.; Liu, M.-C.
7
2001
Distribution of zeros of Dirichlet \(L\)-functions and an explicit formula for \(\psi(t,\chi)\). Zbl 0997.11068
Liu, Ming-Chit; Wang, Tianze
7
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
6
1989
Small prime solutions of linear equations. Zbl 0682.10043
Liu, Ming-Chit; Tsang, Kai-Man
6
1989
On the Vinogradov bound in the three primes Goldbach conjecture. Zbl 1019.11026
Liu, Ming-Chit; Wang, Tianze
5
2002
On the fractional parts of \(\theta n^ k\) and \(\varphi n^ k\). Zbl 0206.05802
Liu, M.-C.
4
1970
Bounds for prime solutions of some diagonal equations. Zbl 0488.10046
Liu, Ming-Chit
3
1982
On the largest prime factor of integers. Zbl 1161.11384
Jia, Chaohua; Liu, Ming-Chit
3
2000
Conditional bounds for small prime solutions of linear equations. Zbl 0753.11033
Choi, Kwok-Kwong; Liu, Ming-Chit; Tsang, Kai-Man
3
1992
On a result of Davenport and Halberstam. Zbl 0182.37602
Liu, M.-C.
3
1969
Some properties of asymptotic functions. Zbl 0439.41022
Chan, L. Y.; Chen, Y. M.; Liu, M. C.
2
1980
On the derivative of some analytic functions. Zbl 0257.30001
Liu, Ming-Chit
2
1973
Simultaneous approximation of two additive forms. Zbl 0273.10029
Liu, Ming-Chit
2
1974
Approximation by a sum of polynomials involving primes. Zbl 0387.10029
Liu, Ming-Chit
2
1978
An improved estimate for certain diophantine inequalities. Zbl 0397.10023
Liu, Ming-Chit; Ng, Shu-Ming; Tsang, Kai-Man
2
1980
Linear approximation by primes. Zbl 0401.10029
Lau, Kee-Wai; Liu, Ming-Chit
2
1978
An improved bound for prime solutions of some ternary equations. Zbl 0602.10040
Liu, Ming-Chit
2
1987
A bound for prime solutions of some ternary equations. Zbl 0559.10030
Liu, Ming-Chit
2
1985
Recent progress on a problem of A. Baker. Zbl 0826.11045
Liu, Ming-Chit; Tsang, Kai-Man
1
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
1
1999
Small prime solutions of a pair of linear equations in five variables. Zbl 0812.11057
Liu, Ming-Chit; Tsang, Kai-Man
1
1991
Squares of primes and powers of 2. II. Zbl 0997.11082
Liu, Jianya; Liu, Ming-Chit; Zhan, Tao
1
2002
On binary equations. Zbl 0517.10050
Liu, Ming-Chit
1
1983
Upper bounds on \(n\)-dimensional Kloosterman sums. Zbl 1121.11054
Cochrane, Todd; Liu, Ming-Chit; Zheng, Zhiyong
1
2004
On functions of bounded boundary rotation. Zbl 0215.12701
Liu, M.-C.
1
1971
Simultaneous approximation of additive forms. Zbl 0305.10024
Liu, Ming-Chit
1
1975
On Littlewood’s conjectural inequalities. Zbl 0177.32701
Chen, Y. M.; Liu, M. C.
1
1969
On a theorem of Heilbronn concerning the fractional part of \(\theta n^ 2\). Zbl 0205.06701
Liu, M.-C.
1
1970
Upper bounds on \(n\)-dimensional Kloosterman sums. Zbl 1121.11054
Cochrane, Todd; Liu, Ming-Chit; Zheng, Zhiyong
1
2004
Distribution of zeros of Dirichlet \(L\)-functions and an explicit formula for \(\psi(t,\chi)\). Zbl 0997.11068
Liu, Ming-Chit; Wang, Tianze
7
2002
On the Vinogradov bound in the three primes Goldbach conjecture. Zbl 1019.11026
Liu, Ming-Chit; Wang, Tianze
5
2002
Squares of primes and powers of 2. II. Zbl 0997.11082
Liu, Jianya; Liu, Ming-Chit; Zhan, Tao
1
2002
Representation of even integers by cubes of primes and powers of 2. Zbl 0980.11045
Liu, J.; Liu, M.-C.
7
2001
The exceptional set in the four prime squares problem. Zbl 0942.11044
Liu, Jianya; Liu, Ming-Chit
23
2000
On a sum of three prime squares. Zbl 0961.11034
Bauer, Claus; Liu, Ming-Chit; Zhan, Tao
11
2000
Representation of even integers as sums of squares of primes and powers of 2. Zbl 0961.11035
Liu, Jianya; Liu, Ming-Chit
11
2000
On the largest prime factor of integers. Zbl 1161.11384
Jia, Chaohua; Liu, Ming-Chit
3
2000
Squares of primes and powers of 2. Zbl 0940.11047
Liu, Jianya; Liu, Ming-Chit; Zhan, Tao
21
1999
On the almost Goldbach problem of Linnik. Zbl 0979.11051
Liu, Jianya; Liu, Ming-Chit; Wang, Tianze
8
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
1
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
17
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
9
1998
A numerical bound for small prime solutions of some ternary linear equations. Zbl 0918.11053
Liu, Ming-Chit; Wang, Tianze
7
1998
The Goldbach problem with primes in arithmetic progressions. Zbl 0913.11043
Liu, Ming-Chit; Zhan, Tao
10
1997
Recent progress on a problem of A. Baker. Zbl 0826.11045
Liu, Ming-Chit; Tsang, Kai-Man
1
1994
On generalized quadratic equations in three prime variables. Zbl 0779.11045
Leung, Man-Cheung; Liu, Ming-Chit
23
1993
Conditional bounds for small prime solutions of linear equations. Zbl 0753.11033
Choi, Kwok-Kwong; Liu, Ming-Chit; Tsang, Kai-Man
3
1992
Small prime solutions of some additive equations. Zbl 0719.11064
Liu, Ming-Chit; Tsang, Kai-Man
13
1991
Small prime solutions of a pair of linear equations in five variables. Zbl 0812.11057
Liu, Ming-Chit; Tsang, Kai-Man
1
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
6
1989
Small prime solutions of linear equations. Zbl 0682.10043
Liu, Ming-Chit; Tsang, Kai-Man
6
1989
An improved bound for prime solutions of some ternary equations. Zbl 0602.10040
Liu, Ming-Chit
2
1987
A bound for prime solutions of some ternary equations. Zbl 0559.10030
Liu, Ming-Chit
2
1985
On binary equations. Zbl 0517.10050
Liu, Ming-Chit
1
1983
Bounds for prime solutions of some diagonal equations. Zbl 0488.10046
Liu, Ming-Chit
3
1982
Some properties of asymptotic functions. Zbl 0439.41022
Chan, L. Y.; Chen, Y. M.; Liu, M. C.
2
1980
An improved estimate for certain diophantine inequalities. Zbl 0397.10023
Liu, Ming-Chit; Ng, Shu-Ming; Tsang, Kai-Man
2
1980
Approximation by a sum of polynomials involving primes. Zbl 0387.10029
Liu, Ming-Chit
2
1978
Linear approximation by primes. Zbl 0401.10029
Lau, Kee-Wai; Liu, Ming-Chit
2
1978
Simultaneous approximation of additive forms. Zbl 0305.10024
Liu, Ming-Chit
1
1975
Simultaneous approximation of two additive forms. Zbl 0273.10029
Liu, Ming-Chit
2
1974
On the derivative of some analytic functions. Zbl 0257.30001
Liu, Ming-Chit
2
1973
On functions of bounded boundary rotation. Zbl 0215.12701
Liu, M.-C.
1
1971
On the fractional parts of \(\theta n^ k\) and \(\varphi n^ k\). Zbl 0206.05802
Liu, M.-C.
4
1970
On a theorem of Heilbronn concerning the fractional part of \(\theta n^ 2\). Zbl 0205.06701
Liu, M.-C.
1
1970
On a result of Davenport and Halberstam. Zbl 0182.37602
Liu, M.-C.
3
1969
On Littlewood’s conjectural inequalities. Zbl 0177.32701
Chen, Y. M.; Liu, M. C.
1
1969
all top 5

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

Citations by Year