## Li, Xianjin

Compute Distance To:
 Author ID: li.xianjin Published as: Li, Xian-Jin; Li, Xianjin
 Documents Indexed: 46 Publications since 1985 Co-Authors: 12 Co-Authors with 10 Joint Publications 600 Co-Co-Authors
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### Co-Authors

 32 single-authored 2 Cai, Xiaojing 2 Conrey, John Brian 2 Feng, Dagan 2 Jiu, Quansen 1 Ahmadabadi, Majid Nili 1 Bin, G. F. 1 Cardon, David A. 1 Ge, Liming 1 Liu, Ying 1 Siu, Wan-Chi 1 So, Albert Ting-pat 1 Sugisaka, Masanori 1 Tso, Shiu Kit 1 Vaaler, Jeffrey D. 1 Wu, Dongsheng 1 Xue, Boqing 1 Xue, Chunyan
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### Serials

 5 Science China. Mathematics 4 Journal of Mathematical Analysis and Applications 4 Journal of Number Theory 3 International Journal of Number Theory 2 Indiana University Mathematics Journal 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Forum Mathematicum 1 Applied Mathematics and Computation 1 Illinois Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Intelligent & Robotic Systems 1 IMRN. International Mathematics Research Notices 1 Scientia Sinica. Series A 1 Methods and Applications of Analysis 1 Mechanism and Machine Theory 1 Integers 1 Acta Mathematica Scientia. Series B. (English Edition) 1 JP Journal of Algebra, Number Theory and Applications 1 Analysis in Theory and Applications 1 Acta Mathematica Sinica. Chinese Series 1 Journal of Linear and Topological Algebra
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### Fields

 30 Number theory (11-XX) 9 Functional analysis (46-XX) 7 Functions of a complex variable (30-XX) 6 Special functions (33-XX) 4 Operator theory (47-XX) 3 Partial differential equations (35-XX) 3 Integral transforms, operational calculus (44-XX) 3 Fluid mechanics (76-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

30 Publications have been cited 189 times in 130 Documents Cited by Year
The positivity of a sequence of numbers and the Riemann hypothesis. Zbl 0884.11036
Li, Xian-Jin
1997
Some trigonometric extremal functions and Erdős-Turán type inequalities. Zbl 0930.42001
Li, Xian-Jin; Vaaler, Jeffrey D.
1999
Explicit formulas for Dirichlet and Hecke $$L$$-functions. Zbl 1061.11048
Li, Xian-Jin
2004
On reproducing kernel Hilbert spaces of polynomials. Zbl 0879.46007
Li, Xian-Jin
1997
The Riemann hypothesis for polynomials orthogonal on the unit circle. Zbl 0843.30009
Li, Xian-Jin
1994
An arithmetic formula for certain coefficients of the Euler product of Hecke polynomials. Zbl 1142.11354
Li, Xian-Jin
2005
Proof of Hayman’s conjecture on normal families. Zbl 0592.30035
Li, Xian-Jin
1985
The global $$L^2$$ stability of solutions to three dimensional MHD equations. Zbl 1289.35259
Li, Xianjin; Cai, Xiaojing
2013
On the poles of Rankin-Selberg convolutions of modular forms. Zbl 0862.11050
Li, Xian-Jin
1996
On the Hankel transformation of order zero. Zbl 1127.44004
Li, Xian-Jin
2007
The global $$L^2$$ stability of large solutions to three dimensional Boussinesq equations. Zbl 1224.35348
Li, Xianjin; Jiu, Quansen
2010
On the trace of Hecke operators for Maass forms. Zbl 0934.11029
Li, Xian-Jin
1999
On the trace of Hecke operators for Maass forms for congruence subgroups. II. Zbl 1161.11332
Li, Xian-Jin
2005
A note on the Riemann-Roch theorem for function fields. Zbl 0889.11037
Li, Xian-Jin
1996
On the trace of Hecke operators for Maass forms for congruence subgroups. Zbl 1074.11028
Conrey, J. Brian; Li, Xian-Jin
2001
Hilbert spaces of entire functions and polynomials orthogonal on the unit circle. Zbl 0843.30008
Li, Xian-Jin
1994
A generalization of A. Connes’ trace formula. Zbl 1216.11105
Li, Xian-Jin
2010
A spectral interpretation for the explicit formula in the theory of prime numbers. Zbl 1223.11104
Li, Xian-Jin
2010
Prolate spheroidal wave functions, Sonine spaces, and the Riemann zeta function. Zbl 1294.11142
Li, Xian-Jin
2012
On zeros of defining functions for some Hilbert spaces of polynomials. Zbl 0946.30002
Li, Xian-Jin
2000
An explicit formula for finite Hilbert transforms associated with a polynomial. Zbl 1059.44001
Li, Xian-Jin
2004
An explicit formula for Hecke $$L$$-functions. Zbl 1168.11015
Li, Xian-Jin
2008
A transformation of Hankel type on the field of $$p$$-adic numbers. Zbl 1186.11072
Li, Xian-Jin
2008
On exceptional eigenvalues of the Laplacian for $$\Gamma _{0}(N)$$. Zbl 1195.11072
Li, Xian-Jin
2008
A formula for the Dedekind $$\xi$$-function of an imaginary quadratic field. Zbl 0986.11060
Li, Xian-Jin
2001
A note on the weighted Hilbert’s inequality. Zbl 1058.47023
Li, Xian-Jin
2005
An adelic Hankel summation formula. Zbl 1219.11171
Li, Xian-Jin
2010
On the Euler product of some zeta functions. Zbl 1178.11073
Li, Xian-Jin
2009
On the explicit formula related to Riemann’s zeta-function. Zbl 1390.11101
Li, Xian-Jin
2015
On the explicit formula in the theory of prime numbers. Zbl 1315.11074
Li, Xian-Jin
2012
On the explicit formula related to Riemann’s zeta-function. Zbl 1390.11101
Li, Xian-Jin
2015
The global $$L^2$$ stability of solutions to three dimensional MHD equations. Zbl 1289.35259
Li, Xianjin; Cai, Xiaojing
2013
Prolate spheroidal wave functions, Sonine spaces, and the Riemann zeta function. Zbl 1294.11142
Li, Xian-Jin
2012
On the explicit formula in the theory of prime numbers. Zbl 1315.11074
Li, Xian-Jin
2012
The global $$L^2$$ stability of large solutions to three dimensional Boussinesq equations. Zbl 1224.35348
Li, Xianjin; Jiu, Quansen
2010
A generalization of A. Connes’ trace formula. Zbl 1216.11105
Li, Xian-Jin
2010
A spectral interpretation for the explicit formula in the theory of prime numbers. Zbl 1223.11104
Li, Xian-Jin
2010
An adelic Hankel summation formula. Zbl 1219.11171
Li, Xian-Jin
2010
On the Euler product of some zeta functions. Zbl 1178.11073
Li, Xian-Jin
2009
An explicit formula for Hecke $$L$$-functions. Zbl 1168.11015
Li, Xian-Jin
2008
A transformation of Hankel type on the field of $$p$$-adic numbers. Zbl 1186.11072
Li, Xian-Jin
2008
On exceptional eigenvalues of the Laplacian for $$\Gamma _{0}(N)$$. Zbl 1195.11072
Li, Xian-Jin
2008
On the Hankel transformation of order zero. Zbl 1127.44004
Li, Xian-Jin
2007
An arithmetic formula for certain coefficients of the Euler product of Hecke polynomials. Zbl 1142.11354
Li, Xian-Jin
2005
On the trace of Hecke operators for Maass forms for congruence subgroups. II. Zbl 1161.11332
Li, Xian-Jin
2005
A note on the weighted Hilbert’s inequality. Zbl 1058.47023
Li, Xian-Jin
2005
Explicit formulas for Dirichlet and Hecke $$L$$-functions. Zbl 1061.11048
Li, Xian-Jin
2004
An explicit formula for finite Hilbert transforms associated with a polynomial. Zbl 1059.44001
Li, Xian-Jin
2004
On the trace of Hecke operators for Maass forms for congruence subgroups. Zbl 1074.11028
Conrey, J. Brian; Li, Xian-Jin
2001
A formula for the Dedekind $$\xi$$-function of an imaginary quadratic field. Zbl 0986.11060
Li, Xian-Jin
2001
On zeros of defining functions for some Hilbert spaces of polynomials. Zbl 0946.30002
Li, Xian-Jin
2000
Some trigonometric extremal functions and Erdős-Turán type inequalities. Zbl 0930.42001
Li, Xian-Jin; Vaaler, Jeffrey D.
1999
On the trace of Hecke operators for Maass forms. Zbl 0934.11029
Li, Xian-Jin
1999
The positivity of a sequence of numbers and the Riemann hypothesis. Zbl 0884.11036
Li, Xian-Jin
1997
On reproducing kernel Hilbert spaces of polynomials. Zbl 0879.46007
Li, Xian-Jin
1997
On the poles of Rankin-Selberg convolutions of modular forms. Zbl 0862.11050
Li, Xian-Jin
1996
A note on the Riemann-Roch theorem for function fields. Zbl 0889.11037
Li, Xian-Jin
1996
The Riemann hypothesis for polynomials orthogonal on the unit circle. Zbl 0843.30009
Li, Xian-Jin
1994
Hilbert spaces of entire functions and polynomials orthogonal on the unit circle. Zbl 0843.30008
Li, Xian-Jin
1994
Proof of Hayman’s conjecture on normal families. Zbl 0592.30035
Li, Xian-Jin
1985
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### Cited by 131 Authors

 14 Li, Xianjin 11 Coffey, Mark William 10 Omar, Sami 9 Odžak, Almasa 8 Carneiro, Emanuel 8 Mazhouda, Kamel 7 Smajlović, Lejla 4 Brauchart, Johann S. 3 Deikalova, Marina Valer’evna 3 Ernvall-Hytönen, Anne-Maria 3 Littmann, Friedrich 3 Raulf, Nicole 3 Vaaler, Jeffrey D. 3 Yuan, Wenjun 2 Abdulhameed, M. 2 Alpay, Daniel Aron 2 Arias-de-Reyna, Juan 2 Babenko, Aleksandr Grigor’evich 2 Bllaca, Kajtaz H. 2 Bouanani, Saber 2 Brown, Francis C. S. 2 Dick, Josef 2 Dutta, Parikshit 2 Dutta, Suvankar 2 Dym, Harry 2 Ganzburg, Michael Iosifovich 2 Gonçalves, Felipe M. 2 Kelly, Michael 2 Ouni, Raouf 2 Pitman, Jim William 2 Sekatskii, Sergey K. 2 Sušić, Medina 2 Torgashova, Anastasiya Yu. 2 Vieru, Dumitru 2 Voros, André 2 Wu, Fan 1 Aistleitner, Christoph 1 Alkan, Emre 1 Arov, Damir Zyamovich 1 Atkin, Arthur Oliver Lonsdale 1 Balslev, Erik 1 Bansi, C. D. K. 1 Baranov, Anton D. 1 Benvenutti, Maicon J. 1 Biane, Philippe 1 Bolotnikov, Vladimir 1 Booker, Andrew R. 1 Borwein, Jonathan Michael 1 Bradley, David M. 1 Bucur, Alina 1 Cai, Xiaojing 1 Chandee, Vorrapan 1 Chattopadhyay, Arghya 1 Chen, Wei 1 Connes, Alain 1 Conrey, John Brian 1 Crandall, Richard E. 1 Ćurgus, Branko 1 Dijksma, Aad 1 Duchamps, Jean-Jil 1 Ferreira, Lucas Catão de Freitas 1 Flajolet, Philippe 1 Gao, Xingyue 1 Ghoshal, Debashis 1 Grabner, Peter J. 1 Gun, Sanoli 1 Hrycak, Tomasz 1 Huang, Hau-wen 1 Jianming, Lin 1 Jinjin, Wei 1 Jiu, Quansen 1 Johansson, Fredrik 1 Kazalicki, Matija 1 Khan, Rizwanur 1 Kimsey, David Patrick 1 Knessl, Charles 1 Kofané, Timoléon Crépin 1 Kohnen, Winfried 1 Lagarias, Jeffrey C. 1 Lau, Yuk-Kam 1 Lee, Min 1 Li, Wen-Ch’ing Winnie 1 Li, Xin 1 Lin, Jianming 1 Liu, Wenjun 1 Long, Ling 1 Loubaton, Philippe 1 Madrid, José A. Jiménez 1 Matiyasevich, Yuriĭ Vladimirovich 1 Milinovich, Micah B. 1 Motsumi, Teko Ganakgomo 1 Murty, Maruti Ram 1 Narcowich, Francis J. 1 Ndjawa, P. A. Y. 1 Nevo, Shahar 1 Palojärvi, Neea 1 Pascoe, James Eldred 1 Paul, Biplab 1 Qin, Xulong 1 Qiu, Hua ...and 31 more Authors
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### Cited in 70 Serials

 13 Journal of Number Theory 5 Journal of Mathematical Analysis and Applications 5 Journal of Computational and Applied Mathematics 5 International Journal of Number Theory 4 Journal of Approximation Theory 4 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Finite Fields and their Applications 3 The Ramanujan Journal 3 Mathematical Physics, Analysis and Geometry 3 Proceedings of the Steklov Institute of Mathematics 3 Science China. Mathematics 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Functiones et Approximatio. Commentarii Mathematici 2 Mathematische Annalen 2 Mathematika 2 Constructive Approximation 2 Forum Mathematicum 2 Linear Algebra and its Applications 2 St. Petersburg Mathematical Journal 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Research in the Mathematical Sciences 1 Computers & Mathematics with Applications 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Nuclear Physics. B 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Glasgow Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Meccanica 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 Tokyo Journal of Mathematics 1 Circuits, Systems, and Signal Processing 1 Journal of Complexity 1 Discrete & Computational Geometry 1 International Journal of Mathematics 1 Numerical Algorithms 1 Bulletin of the American Mathematical Society. New Series 1 Experimental Mathematics 1 Turkish Journal of Mathematics 1 Advances in Differential Equations 1 Sbornik: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. B. Fluids 1 Analysis (München) 1 Acta Mathematica Sinica. English Series 1 Nonlinear Analysis. Real World Applications 1 Journal of Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Central European Journal of Mathematics 1 Albanian Journal of Mathematics 1 European Journal of Mathematics 1 Ural Mathematical Journal
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### Cited in 27 Fields

 86 Number theory (11-XX) 19 Approximations and expansions (41-XX) 18 Functions of a complex variable (30-XX) 13 Functional analysis (46-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Fluid mechanics (76-XX) 9 Special functions (33-XX) 7 Partial differential equations (35-XX) 6 Operator theory (47-XX) 4 Numerical analysis (65-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)