Edit Profile (opens in new tab) Luo, Wenzhi Compute Distance To: Compute Author ID: luo.wenzhi Published as: Luo, Wenzhi; Luo, W. External Links: MGP Documents Indexed: 41 Publications since 1989 Co-Authors: 7 Co-Authors with 13 Joint Publications 282 Co-Co-Authors all top 5 Co-Authors 27 single-authored 8 Sarnak, Peter Clive 3 Rudnick, Zeév 2 Ramakrishnan, Dinakar 1 Cogdell, James W. 1 Hejhal, Dennis A. 1 Hoffstein, Jeffrey 1 Iwaniec, Henryk 1 Rohrlich, David E. all top 5 Serials 4 Proceedings of the American Mathematical Society 4 IMRN. International Mathematics Research Notices 2 Acta Arithmetica 2 American Journal of Mathematics 2 Duke Mathematical Journal 2 Publications Mathématiques 2 The Ramanujan Journal 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica Sinica 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Compositio Mathematica 1 Inventiones Mathematicae 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Advances in Mathematics 1 Forum Mathematicum 1 Geometric and Functional Analysis. GAFA 1 Mathematical Research Letters 1 Annals of Mathematics. Second Series 1 Journal of Modern Dynamics 1 Science China. Mathematics all top 5 Fields 41 Number theory (11-XX) 4 Global analysis, analysis on manifolds (58-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 707 times in 568 Documents Cited by ▼ Year ▼ Low lying zeros of families of \(L\)-functions. Zbl 1012.11041Iwaniec, Henryk; Luo, Wenzhi; Sarnak, Peter 166 2000 On Selberg’s eigenvalue conjecture. Zbl 0844.11038Luo, W.; Rudnick, Z.; Sarnak, P. 86 1995 On the generalized Ramanujan conjecture for \(\text{GL}(n)\). Zbl 0965.11023Luo, Wenzhi; Rudnick, Zeév; Sarnak, Peter 81 1999 Quantum ergodicity of eigenfunctions on \(\text{PSL}_ 2(\mathbb{Z}) \backslash H^ 2\). Zbl 0852.11024Luo, Wenzhi; Sarnak, Peter 63 1995 Determination of modular forms by twists of critical \(L\)-values. Zbl 0905.11024Luo, Wenzhi; Ramakrishnan, Dinakar 34 1997 Mass equidistribution for Hecke eigenforms. Zbl 1044.11022Luo, Wenzhi; Sarnak, Peter 26 2003 Number variance for arithmetic hyperbolic surfaces. Zbl 0797.58069Luo, W.; Sarnak, P. 22 1994 On the distribution of values of symmetric square \(L\)-functions at 1. Zbl 0969.11018Luo, Wenzhi 21 1999 Nonvanishing of \(L\)-values and the Weyl law. Zbl 1003.11019Luo, Wenzhi 20 2001 Special \(L\)-values of Rankin-Selberg convolutions. Zbl 0932.11033Luo, Wenzhi 19 1999 Quantum variance for Hecke eigenforms. Zbl 1121.11042Luo, Wenzhi; Sarnak, Peter 17 2004 Zeros of Hecke \(L\)-functions associated with cusp forms. Zbl 0818.11033Luo, Wenzhi 14 1995 On Hecke \(L\)-series associated with cubic characters. Zbl 1135.11330Luo, Wenzhi 11 2004 Rational points on complete intersections over \(F_p\). Zbl 0969.11026Luo, Wenzhi 11 1999 Nonvanishing of the central \(L\)-values with large weight. Zbl 1385.11030Luo, Wenzhi 11 2015 On zeros of the derivative of the Selberg zeta function. Zbl 1109.11040Luo, Wenzhi 10 2005 Bounds for incomplete hyper-Kloosterman sums. Zbl 0923.11118Luo, Wenzhi 9 1999 On the nonvanishing of Rankin-Selberg \(L\)-functions. Zbl 0789.11032Luo, Wenzhi 8 1993 Shifted convolution of cusp-forms with \(\theta \)-series. Zbl 1277.11033Luo, Wenzhi 8 2011 Nonvanishing of \(L\)-series and the combinatorial sieve. With an appendix by David E. Rohrlich: Unboundedness of the Tate-Shafarevich group in families of quadratic twists. Zbl 0893.11034Hoffstein, Jeffrey; Luo, Wenzhi 8 1997 \(L^{4}\)-norms of the dihedral Maass forms. Zbl 1377.11057Luo, Wenzhi 8 2014 The variance of arithmetic measures associated to closed geodesics on the modular surface. Zbl 1231.11057Luo, Wenzhi; Rudnick, Zeév; Sarnak, Peter 8 2009 Poincaré series and Hilbert modular forms. Zbl 1067.11023Luo, Wenzhi 7 2003 The Bergman kernel and mass equidistribution on the Siegel modular variety \(\mathrm{Sp}_{2n}(\mathbb Z)\setminus \mathfrak S_n\). Zbl 1314.11031Cogdell, James W.; Luo, Wenzhi 6 2011 Central values of the symmetric square \(L\)-functions. Zbl 1307.11058Luo, Wenzhi 6 2012 The spectral mean value for linear forms in twisted coefficients of cusp forms. Zbl 0821.11035Luo, Wenzhi 5 1995 Equidistribution of Hecke eigenforms on the modular surface. Zbl 1044.11021Luo, Wenzhi 4 2003 On a spectral analog of Selberg’s result on \(S(T)\). Zbl 0877.11032Hejhal, Dennis A.; Luo, Wenzhi 4 1997 Spectral mean-values of automorphic \(L\)-functions at special points. Zbl 0866.11034Luo, Wenzhi 4 1996 Nonvanishing of \(L\)-functions for \(\text{GL}(n,\mathbf A_Q)\). Zbl 1154.11323Luo, Wenzhi 3 2005 On the Hecke eigenvalues of Maass forms. Zbl 1446.11082Luo, Wenzhi; Zhou, Fan 2 2019 A note on the distribution of integer points on spheres. Zbl 1268.11070Luo, Wenzhi 2 2011 On simultaneous nonvanishing of the central \(L\)-values. Zbl 1421.11047Luo, Wenzhi 2 2017 Determination of modular elliptic curves by Heegner points. Special issue of the Pacific Journal of Mathematics. Zbl 1012.11052Luo, Wenzhi; Ramakrishnan, Dinakar 1 1998 On the Hecke eigenvalues of Maass forms. Zbl 1446.11082Luo, Wenzhi; Zhou, Fan 2 2019 On simultaneous nonvanishing of the central \(L\)-values. Zbl 1421.11047Luo, Wenzhi 2 2017 Nonvanishing of the central \(L\)-values with large weight. Zbl 1385.11030Luo, Wenzhi 11 2015 \(L^{4}\)-norms of the dihedral Maass forms. Zbl 1377.11057Luo, Wenzhi 8 2014 Central values of the symmetric square \(L\)-functions. Zbl 1307.11058Luo, Wenzhi 6 2012 Shifted convolution of cusp-forms with \(\theta \)-series. Zbl 1277.11033Luo, Wenzhi 8 2011 The Bergman kernel and mass equidistribution on the Siegel modular variety \(\mathrm{Sp}_{2n}(\mathbb Z)\setminus \mathfrak S_n\). Zbl 1314.11031Cogdell, James W.; Luo, Wenzhi 6 2011 A note on the distribution of integer points on spheres. Zbl 1268.11070Luo, Wenzhi 2 2011 The variance of arithmetic measures associated to closed geodesics on the modular surface. Zbl 1231.11057Luo, Wenzhi; Rudnick, Zeév; Sarnak, Peter 8 2009 On zeros of the derivative of the Selberg zeta function. Zbl 1109.11040Luo, Wenzhi 10 2005 Nonvanishing of \(L\)-functions for \(\text{GL}(n,\mathbf A_Q)\). Zbl 1154.11323Luo, Wenzhi 3 2005 Quantum variance for Hecke eigenforms. Zbl 1121.11042Luo, Wenzhi; Sarnak, Peter 17 2004 On Hecke \(L\)-series associated with cubic characters. Zbl 1135.11330Luo, Wenzhi 11 2004 Mass equidistribution for Hecke eigenforms. Zbl 1044.11022Luo, Wenzhi; Sarnak, Peter 26 2003 Poincaré series and Hilbert modular forms. Zbl 1067.11023Luo, Wenzhi 7 2003 Equidistribution of Hecke eigenforms on the modular surface. Zbl 1044.11021Luo, Wenzhi 4 2003 Nonvanishing of \(L\)-values and the Weyl law. Zbl 1003.11019Luo, Wenzhi 20 2001 Low lying zeros of families of \(L\)-functions. Zbl 1012.11041Iwaniec, Henryk; Luo, Wenzhi; Sarnak, Peter 166 2000 On the generalized Ramanujan conjecture for \(\text{GL}(n)\). Zbl 0965.11023Luo, Wenzhi; Rudnick, Zeév; Sarnak, Peter 81 1999 On the distribution of values of symmetric square \(L\)-functions at 1. Zbl 0969.11018Luo, Wenzhi 21 1999 Special \(L\)-values of Rankin-Selberg convolutions. Zbl 0932.11033Luo, Wenzhi 19 1999 Rational points on complete intersections over \(F_p\). Zbl 0969.11026Luo, Wenzhi 11 1999 Bounds for incomplete hyper-Kloosterman sums. Zbl 0923.11118Luo, Wenzhi 9 1999 Determination of modular elliptic curves by Heegner points. Special issue of the Pacific Journal of Mathematics. Zbl 1012.11052Luo, Wenzhi; Ramakrishnan, Dinakar 1 1998 Determination of modular forms by twists of critical \(L\)-values. Zbl 0905.11024Luo, Wenzhi; Ramakrishnan, Dinakar 34 1997 Nonvanishing of \(L\)-series and the combinatorial sieve. With an appendix by David E. Rohrlich: Unboundedness of the Tate-Shafarevich group in families of quadratic twists. Zbl 0893.11034Hoffstein, Jeffrey; Luo, Wenzhi 8 1997 On a spectral analog of Selberg’s result on \(S(T)\). Zbl 0877.11032Hejhal, Dennis A.; Luo, Wenzhi 4 1997 Spectral mean-values of automorphic \(L\)-functions at special points. Zbl 0866.11034Luo, Wenzhi 4 1996 On Selberg’s eigenvalue conjecture. Zbl 0844.11038Luo, W.; Rudnick, Z.; Sarnak, P. 86 1995 Quantum ergodicity of eigenfunctions on \(\text{PSL}_ 2(\mathbb{Z}) \backslash H^ 2\). Zbl 0852.11024Luo, Wenzhi; Sarnak, Peter 63 1995 Zeros of Hecke \(L\)-functions associated with cusp forms. Zbl 0818.11033Luo, Wenzhi 14 1995 The spectral mean value for linear forms in twisted coefficients of cusp forms. Zbl 0821.11035Luo, Wenzhi 5 1995 Number variance for arithmetic hyperbolic surfaces. Zbl 0797.58069Luo, W.; Sarnak, P. 22 1994 On the nonvanishing of Rankin-Selberg \(L\)-functions. Zbl 0789.11032Luo, Wenzhi 8 1993 all cited Publications top 5 cited Publications all top 5 Cited by 483 Authors 17 Lu, Guangshi 14 Ye, Yangbo 13 Blomer, Valentin 13 Jiang, Yujiao 13 Liu, Sheng-Chi 13 Sarnak, Peter Clive 12 Young, Matthew P. 11 Luo, Wenzhi 10 Miller, Steven J. 10 Shparlinski, Igor E. 10 Wu, Jie 10 Zhao, Liangyi 9 Khan, Rizwanur 9 Lau, Yuk-Kam 9 Nelson, Paul D. 9 Pi, Qinghua 9 Sun, Qingfeng 8 Gao, Peng 8 Kowalski, Emmanuel 8 Michel, Philippe Gabriel 7 Risager, Morten S. 7 Zaharescu, Alexandru 6 Bergeron, Nicolas 6 Cho, Peter Jaehyun 6 Garunkštis, Ramūnas 6 Royer, Emmanuel 6 Sengupta, Jyoti 6 Templier, Nicolas 6 Zhang, Wenpeng 5 Balkanova, Ol’ga Germanovna 5 Buttcane, Jack 5 Carneiro, Emanuel 5 Chandee, Vorrapan 5 Hamieh, Alia 5 Huang, Bingrong 5 Kaneko, Ikuya 5 Kim, Henry H. 5 Liu, Shenhui 5 Milinovich, Micah B. 5 Munshi, Ritabrata 5 Petridis, Yiannis N. 5 Rudnick, Zeév 4 Cherubini, Giacomo 4 Florea, Alexandra M. 4 Frolenkov, Dmitriĭ Andreevich 4 Gamburd, Alexander 4 Hou, Fei 4 Jakobson, Dmitry 4 Koyama, Shin-ya 4 Qi, Zhi 4 Ren, Xiumin 4 Shin, Sug Woo 4 Snaith, Nina Claire 4 Soundararajan, Kannan 4 Tang, Hengcai 4 Thorner, Jesse 4 Venkatesh, Akshay 4 Yamana, Shunsuke 3 Avdispahić, Muharem 3 Brumley, Farrell 3 Clozel, Laurent 3 Fomenko, Oleg Mstislavovich 3 Gillespie, Timothy L. 3 Harcos, Gergely 3 Hoffstein, Jeffrey 3 Holowinsky, Roman 3 Humphries, Peter J. 3 Jorgenson, Jay Alan 3 Jung, Junehyuk 3 Keating, Jonathan Peter 3 Knightly, Andrew H. 3 Laaksonen, Niko 3 Lao, Huixue 3 LeClair, André 3 Lester, Stephen J. 3 Liu, Huaning 3 Liu, Jianya 3 Masri, Riad 3 Mussardo, Giuseppe 3 Park, Jeongho 3 Petrow, Ian N. 3 Popov, Dmitriĭ Aleksandrovich 3 Pratt, Kyle 3 Radziwiłł, Maksym 3 Saha, Abhishek 3 Schmutz Schaller, Paul 3 Shahidi, Freydoon 3 Singh, Saurabh Kumar 3 Smajlović, Lejla 3 Södergren, Anders 3 Tanabe, Naomi 3 Turnage-Butterbaugh, Caroline L. 3 Wang, Yingnan 3 Xu, Zhao 3 Yang, Liyang 2 Ahmadi, Omran 2 Akbary, Amir 2 Baier, Stephan 2 Barrett, Owen 2 Bleher, Pavel M. ...and 383 more Authors all top 5 Cited in 112 Serials 79 Journal of Number Theory 34 Duke Mathematical Journal 28 The Ramanujan Journal 21 Mathematische Zeitschrift 17 Mathematische Annalen 17 Proceedings of the American Mathematical Society 17 International Journal of Number Theory 16 Communications in Mathematical Physics 14 Transactions of the American Mathematical Society 13 Advances in Mathematics 12 Israel Journal of Mathematics 11 Research in Number Theory 10 Inventiones Mathematicae 9 Geometric and Functional Analysis. GAFA 9 Bulletin of the American Mathematical Society. New Series 8 Lithuanian Mathematical Journal 8 Acta Arithmetica 8 Annales de l’Institut Fourier 8 Forum Mathematicum 8 Journal de Théorie des Nombres de Bordeaux 8 Science China. Mathematics 7 Algebra & Number Theory 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Functiones et Approximatio. Commentarii Mathematici 6 Journal für die Reine und Angewandte Mathematik 6 Mathematika 6 Journal of the European Mathematical Society (JEMS) 6 Forum of Mathematics, Sigma 5 Compositio Mathematica 5 Manuscripta Mathematica 5 Monatshefte für Mathematik 5 Annals of Mathematics. Second Series 5 Acta Mathematica Sinica. English Series 5 Frontiers of Mathematics in China 4 Bulletin of the Australian Mathematical Society 4 Journal of Functional Analysis 4 Journal of the American Mathematical Society 4 Journal of the Australian Mathematical Society 3 Journal d’Analyse Mathématique 3 Journal of Mathematical Analysis and Applications 3 Mathematics of Computation 3 Archiv der Mathematik 3 Canadian Journal of Mathematics 3 Nagoya Mathematical Journal 3 Revista Matemática Iberoamericana 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of the Institute of Mathematics of Jussieu 3 Journal of Statistical Mechanics: Theory and Experiment 3 Research in the Mathematical Sciences 2 Journal of Statistical Physics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Functional Analysis and its Applications 2 Illinois Journal of Mathematics 2 Memoirs of the American Mathematical Society 2 Proceedings of the Japan Academy. Series A 2 Journal of the Ramanujan Mathematical Society 2 Experimental Mathematics 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 Electronic Research Announcements of the American Mathematical Society 2 Annales Henri Poincaré 2 Central European Journal of Mathematics 2 AIMS Mathematics 1 International Journal of Modern Physics A 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Notes 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Reviews in Mathematical Physics 1 The Annals of Probability 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Publications Mathématiques 1 Journal of the Mathematical Society of Japan 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 Revista de la Unión Matemática Argentina 1 Ergodic Theory and Dynamical Systems 1 Combinatorica 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 Science in China. Series A 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Indagationes Mathematicae. New Series 1 Kyushu Journal of Mathematics 1 Turkish Journal of Mathematics 1 Izvestiya: Mathematics 1 Representation Theory 1 Taiwanese Journal of Mathematics 1 Chaos 1 Revista Matemática Complutense 1 The Quarterly Journal of Mathematics 1 Physical Review Letters 1 Mathematical Modelling and Analysis ...and 12 more Serials all top 5 Cited in 33 Fields 528 Number theory (11-XX) 55 Global analysis, analysis on manifolds (58-XX) 40 Topological groups, Lie groups (22-XX) 28 Quantum theory (81-XX) 25 Dynamical systems and ergodic theory (37-XX) 16 Functions of a complex variable (30-XX) 15 Algebraic geometry (14-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Partial differential equations (35-XX) 9 Probability theory and stochastic processes (60-XX) 8 Combinatorics (05-XX) 8 Group theory and generalizations (20-XX) 8 Several complex variables and analytic spaces (32-XX) 5 Differential geometry (53-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Special functions (33-XX) 3 Manifolds and cell complexes (57-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Citations by Year