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Author ID: zheng.zhiyong Recent zbMATH articles by "Zheng, Zhiyong"
Published as: Zheng, Zhiyong; Zheng, Zhi-yong; Zheng, Zhi Yong
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

25 Publications have been cited 169 times in 136 Documents Cited by Year
The congruence \(x_ 1x_ 2\equiv x_ 3x_ 4\pmod p\), the equation \(x_ 1x_ 2=x_ 3x_ 4\), and mean values of character sums. Zbl 0869.11003
Ayyad, Anwar; Cochrane, Todd; Zheng, Zhiyong
34
1996
Pure and mixed exponential sums. Zbl 0937.11031
Cochrane, Todd; Zheng, Zhiyong
30
1999
Exponential sums with rational function entries. Zbl 0956.11018
Cochrane, Todd; Zheng, Zhiyong
16
2000
Upper bounds on a two-term exponential sum. Zbl 1012.11078
Cochrane, Todd; Zheng, Zhiyong
15
2001
Bounds for certain exponential sums. Zbl 1030.11040
Cochrane, Todd; Zheng, Zhiyong
14
2000
An experimental study of electro-osmotic flow in rectangular microchannels. Zbl 1072.76510
Sadr, R.; Yoda, M.; Zheng, Z.; Conlisk, A. T.
9
2004
The distribution of zeros of an irreducible curve over a finite field. Zbl 0862.11041
Zheng, Zhiyong
9
1996
Electro-osmotic flow in two-dimensional charged micro- and nanochannels. Zbl 1082.76115
Bhattacharyya, S.; Zheng, Z.; Conlisk, A. T.
7
2005
High order moments of character sums. Zbl 0893.11033
Cochrane, Todd; Zheng, Zhiyong
7
1998
On the polynomial Ramanujan sums over finite fields. Zbl 1444.11241
Zheng, Zhiyong
6
2018
A survey on pure and mixed exponential sums modulo prime powers. Zbl 1032.11035
Cochrane, Todd; Zheng, Zhiyong
5
2002
On upper bounds of Chalk and Hua for exponential sums. Zbl 1012.11077
Cochrane, Todd; Zheng, Zhiyong
5
2001
The Petersson-Knopp identity for homogeneous Dedekind sums. Zbl 0847.11021
Zheng, Zhiyong
5
1996
On the uniform distribution of Gauss sums and Jacobi sums. Zbl 0866.11073
Katz, Nicholas M.; Zheng, Zhiyong
5
1996
On Kloosterman sums with oscillating coefficients. Zbl 0915.11044
Wang, Guoqin; Zheng, Zhiyong
4
1998
Davenport-Hasse’s theorem for polynomial Gauss sums over finite fields. Zbl 1421.11099
Zheng, Zhiyong
3
2017
Upper bounds on \(n\)-dimensional Kloosterman sums. Zbl 1121.11054
Cochrane, Todd; Liu, Ming-Chit; Zheng, Zhiyong
2
2004
Upper bounds on character sums with rational function entries. Zbl 1044.11076
Cochrane, Todd; Liu, Chunlei; Zheng, Zhiyong
2
2003
Small solutions of the congruence \(a_1x_1^2+a_2x_2^2+a_3x_3^2+a_4x_4^2\equiv c\pmod p\). Zbl 0912.11015
Cochrane, Todd; Zheng, Zhiyong
2
1998
The stochastic Newmark algorithm for random analysis of multi-degree-of-freedom nonlinear systems. Zbl 0965.70006
Zhang, L.; Zu, J. W.; Zheng, Z.
2
1999
Distribution of primitive \(\lambda\)-roots of composite moduli. II. Zbl 1117.11043
Zheng, Zhiyong; Cochrane, Todd
1
2006
On a problem of H. Cohn for character sums. Zbl 1015.11064
Cochrane, Todd; Garth, David; Zheng, Zhiyong
1
2000
On an identity for Dedekind sums. Zbl 0842.11017
Zheng, Zhiyong
1
1994
A Menon-type identity with Dirichlet characters in residually finite Dedekind domains. Zbl 1486.11006
Chen, Man; Zheng, Zhiyong
1
2022
On the distribution of Jacobi sums. Zbl 1429.11215
Lu, Qing; Zheng, Weizhe; Zheng, Zhiyong
1
2018
A Menon-type identity with Dirichlet characters in residually finite Dedekind domains. Zbl 1486.11006
Chen, Man; Zheng, Zhiyong
1
2022
On the polynomial Ramanujan sums over finite fields. Zbl 1444.11241
Zheng, Zhiyong
6
2018
On the distribution of Jacobi sums. Zbl 1429.11215
Lu, Qing; Zheng, Weizhe; Zheng, Zhiyong
1
2018
Davenport-Hasse’s theorem for polynomial Gauss sums over finite fields. Zbl 1421.11099
Zheng, Zhiyong
3
2017
Distribution of primitive \(\lambda\)-roots of composite moduli. II. Zbl 1117.11043
Zheng, Zhiyong; Cochrane, Todd
1
2006
Electro-osmotic flow in two-dimensional charged micro- and nanochannels. Zbl 1082.76115
Bhattacharyya, S.; Zheng, Z.; Conlisk, A. T.
7
2005
An experimental study of electro-osmotic flow in rectangular microchannels. Zbl 1072.76510
Sadr, R.; Yoda, M.; Zheng, Z.; Conlisk, A. T.
9
2004
Upper bounds on \(n\)-dimensional Kloosterman sums. Zbl 1121.11054
Cochrane, Todd; Liu, Ming-Chit; Zheng, Zhiyong
2
2004
Upper bounds on character sums with rational function entries. Zbl 1044.11076
Cochrane, Todd; Liu, Chunlei; Zheng, Zhiyong
2
2003
A survey on pure and mixed exponential sums modulo prime powers. Zbl 1032.11035
Cochrane, Todd; Zheng, Zhiyong
5
2002
Upper bounds on a two-term exponential sum. Zbl 1012.11078
Cochrane, Todd; Zheng, Zhiyong
15
2001
On upper bounds of Chalk and Hua for exponential sums. Zbl 1012.11077
Cochrane, Todd; Zheng, Zhiyong
5
2001
Exponential sums with rational function entries. Zbl 0956.11018
Cochrane, Todd; Zheng, Zhiyong
16
2000
Bounds for certain exponential sums. Zbl 1030.11040
Cochrane, Todd; Zheng, Zhiyong
14
2000
On a problem of H. Cohn for character sums. Zbl 1015.11064
Cochrane, Todd; Garth, David; Zheng, Zhiyong
1
2000
Pure and mixed exponential sums. Zbl 0937.11031
Cochrane, Todd; Zheng, Zhiyong
30
1999
The stochastic Newmark algorithm for random analysis of multi-degree-of-freedom nonlinear systems. Zbl 0965.70006
Zhang, L.; Zu, J. W.; Zheng, Z.
2
1999
High order moments of character sums. Zbl 0893.11033
Cochrane, Todd; Zheng, Zhiyong
7
1998
On Kloosterman sums with oscillating coefficients. Zbl 0915.11044
Wang, Guoqin; Zheng, Zhiyong
4
1998
Small solutions of the congruence \(a_1x_1^2+a_2x_2^2+a_3x_3^2+a_4x_4^2\equiv c\pmod p\). Zbl 0912.11015
Cochrane, Todd; Zheng, Zhiyong
2
1998
The congruence \(x_ 1x_ 2\equiv x_ 3x_ 4\pmod p\), the equation \(x_ 1x_ 2=x_ 3x_ 4\), and mean values of character sums. Zbl 0869.11003
Ayyad, Anwar; Cochrane, Todd; Zheng, Zhiyong
34
1996
The distribution of zeros of an irreducible curve over a finite field. Zbl 0862.11041
Zheng, Zhiyong
9
1996
The Petersson-Knopp identity for homogeneous Dedekind sums. Zbl 0847.11021
Zheng, Zhiyong
5
1996
On the uniform distribution of Gauss sums and Jacobi sums. Zbl 0866.11073
Katz, Nicholas M.; Zheng, Zhiyong
5
1996
On an identity for Dedekind sums. Zbl 0842.11017
Zheng, Zhiyong
1
1994
all top 5

Cited by 137 Authors

32 Shparlinski, Igor E.
11 Zhang, Wenpeng
11 Zheng, Zhiyong
10 Cochrane, Todd
5 Garaev, Moubariz Z.
5 Korolëv, Maksim Aleksandrovich
5 Xu, Zhefeng
4 Han, Di
4 Wang, Tingting
3 Banks, William David
3 Bourgain, Jean
3 Chang, Mei-Chu
3 Kerr, Bryce
3 Liu, Huaning
3 Pigno, Vincent
3 Pinner, Christopher G.
3 Shi, Sanying
2 Ai, Xiaochuan
2 Ayyad, Anwar
2 Bag, Nilanjan
2 Cai, Guangxing
2 Chen, Hua
2 Chen, Man
2 Cilleruelo, Javier
2 Granville, Andrew James
2 Haldar, Anup
2 Hong, Ziwei
2 Khan, Mizan R.
2 Konyagin, Sergeĭ Vladimirovich
2 Li, Xiaoxue
2 Lu, Qing
2 Nguyen, Kien Huu
2 Pollack, Paul
2 Rojas-León, Antonio
2 Roy, Akash Singha
2 Wang, Xiaoying
2 Weber, Michel Jean Georges
2 Zaharescu, Alexandru
2 Zhang, Tianping
2 Zheng, Weizhe
2 Zumalacárregui, Ana
1 Alsulmi, Badria
1 Assing, Edgar
1 Baier, Stephan
1 Bayad, Abdelmejid
1 Blache, Régis
1 Bondarenko, Andriy V.
1 Browning, Timothy Daniel
1 Chan, Tsz Ho
1 Chen, Beifang
1 Chen, Jianhua
1 Choi, Dohoon
1 Cluckers, Raf
1 Di, Han
1 Ding, Ping
1 Duan, Ran
1 Erdélyi, Márton
1 Fisher, Benji N.
1 Ford, Kevin B.
1 Fotis, Sam
1 Fox, Matthew S.
1 Gao, Jing
1 García, Victor Cuauhtemoc
1 Gong, Ming-Liang
1 Gurak, Stanley J.
1 Hakami, Ali Hafiz
1 Hamahata, Yoshinori
1 He, Yuan
1 Hou, Fei
1 Jang, Youngho
1 Jia, Chaohua
1 Jiafan, Zhang
1 Jin, Zhang
1 Jun, Byungheup
1 Karamchedu, Chaitanya D.
1 Karpinski, Marek
1 Laumon, Gérard
1 Lee, Jungyun
1 Li, Chen
1 Li, Hailong
1 Li, Hongze
1 Li, Jiyou
1 Li, Yali
1 Li, Yijun
1 Li, Yunzhang
1 Li, Zhanhu
1 Liao, Qunying
1 Lim, Subong
1 Lin, Xin
1 Liu, Chunlei
1 Liu, Ming-Chit
1 Luca, Florian
1 Ma, Jing
1 Ma, Yuankui
1 Martin, Greg
1 Matomäki, Kaisa
1 Merikoski, Jori
1 Mohammadi, Ali
1 Olver, Peter John
1 Ostergaard, Misty
...and 37 more Authors
all top 5

Cited in 56 Serials

17 Journal of Number Theory
6 Proceedings of the American Mathematical Society
6 International Journal of Number Theory
5 Acta Arithmetica
5 Mathematika
5 Monatshefte für Mathematik
5 Acta Mathematica Sinica. English Series
4 Journal of Inequalities and Applications
4 Open Mathematics
3 Bulletin of the Australian Mathematical Society
3 Israel Journal of Mathematics
3 Czechoslovak Mathematical Journal
3 Functiones et Approximatio. Commentarii Mathematici
3 Mathematische Zeitschrift
3 Transactions of the American Mathematical Society
3 Finite Fields and their Applications
3 The Ramanujan Journal
3 Science China. Mathematics
3 Research in Number Theory
2 Journal d’Analyse Mathématique
2 Mathematical Notes
2 Mathematics of Computation
2 Archiv der Mathematik
2 Journal of the London Mathematical Society. Second Series
2 Journal de Théorie des Nombres de Bordeaux
2 Doklady Mathematics
2 Proceedings of the Steklov Institute of Mathematics
2 Frontiers of Mathematics in China
2 Acta Mathematica Sinica. Chinese Series
2 Korean Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Advances in Mathematics
1 Journal für die Reine und Angewandte Mathematik
1 Michigan Mathematical Journal
1 Proceedings of the Japan Academy. Series A
1 Chinese Annals of Mathematics. Series B
1 Journal of Complexity
1 Revista Matemática Iberoamericana
1 Forum Mathematicum
1 Science in China. Series A
1 The Journal of Geometric Analysis
1 Acta Mathematica Sinica. New Series
1 Journal of Mathematical Sciences (New York)
1 Izvestiya: Mathematics
1 Abstract and Applied Analysis
1 Annals of Mathematics. Second Series
1 Integers
1 Journal of Mathematical Cryptology
1 Algebra & Number Theory
1 Journal of Mathematical Inequalities
1 Japanese Journal of Mathematics. 3rd Series
1 Acta Universitatis Sapientiae. Mathematica
1 Journal of Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year