Edit Profile Mao, Zhengyu Compute Distance To: Compute Author ID: mao.zhengyu Published as: Mao, Z.; Mao, Zh.; Mao, Zhengyu Documents Indexed: 42 Publications since 1992 Reviewing Activity: 68 Reviews all top 5 Co-Authors 9 single-authored 12 Lapid, Erez Moshe 10 Rallis, Stephen James 6 Baruch, Ehud Moshe 2 Hakim, Jeffrey L. 1 Ichino, Atsushi 1 Jiang, Dihua 1 Longo, Matteo 1 Rodriguez-Villegas, Fernando 1 Tornaría, Gonzalo all top 5 Serials 4 Journal of Number Theory 3 Israel Journal of Mathematics 3 Compositio Mathematica 3 Duke Mathematical Journal 3 Pacific Journal of Mathematics 2 American Journal of Mathematics 2 Canadian Journal of Mathematics 2 IMRN. International Mathematics Research Notices 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Representation Theory 1 Journal of Algebra 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Algebra & Number Theory all top 5 Fields 36 Number theory (11-XX) 25 Topological groups, Lie groups (22-XX) 4 Special functions (33-XX) 2 Group theory and generalizations (20-XX) 2 Abstract harmonic analysis (43-XX) 1 Algebraic geometry (14-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 37 Publications have been cited 210 times in 132 Documents Cited by ▼ Year ▼ Central value of automorphic \(L\)-functions. Zbl 1191.11012Baruch, Ehud Moshe; Mao, Zhengyu 33 2007 A conjecture on Whittaker-Fourier coefficients of cusp forms. Zbl 1396.11081Lapid, Erez; Mao, Zhengyu 18 2015 Bessel identities in the Waldspurger correspondence over the real numbers. Zbl 1064.22009Baruch, Ehud Moshe; Mao, Zhengyu 14 2005 Schwarzian derivative and Landau’s theorem for logharmonic mappings. Zbl 1285.30009Mao, Zh.; Ponnusamy, S.; Wang, X. 12 2013 On the asymptotics of Whittaker functions. Zbl 1193.22016Lapid, Erez; Mao, Zhengyu 12 2009 Bessel identities in the Waldspurger correspondence over a \(p\)-adic field. Zbl 1037.11034Baruch, Ehud Moshe; Mao, Zhengyu 10 2003 A generalized Kohnen-Zagier formula for Maass forms. Zbl 1217.11047Baruch, Ehud Moshe; Mao, Zhengyu 9 2010 On a new functional equation for local integrals. Zbl 1306.22008Lapid, Erez; Mao, Zhengyu 8 2014 Model transition for representations of metaplectic type. Zbl 1337.22009Lapid, Erez; Mao, Zhengyu 7 2015 On the formal degrees of square-integrable representations of odd special orthogonal and metaplectic groups. Zbl 1378.11061Ichino, Atsushi; Lapid, Erez; Mao, Zhengyu 6 2017 Relative Kloosterman integrals for \(GL(3)\). III. Zbl 0799.11014Mao, Zhengyu 6 1993 Kohnen’s formula and a conjecture of Darmon and Tornaría. Zbl 1391.11072Longo, Matteo; Mao, Zhengyu 5 2018 On an analogue of the Ichino-Ikeda conjecture for Whittaker coefficients on the metaplectic group. Zbl 1418.11076Lapid, Erez; Mao, Zhengyu 5 2017 Whittaker-Fourier coefficients of cusp forms on \(\widetilde{\mathrm{Sp}}_n\): reduction to a local statement. Zbl 1367.11053Lapid, Erez; Mao, Zhengyu 5 2017 Computation of central value of quadratic twists of modular \(L\)-functions. Zbl 1216.11111Mao, Zhengyu; Rodriguez-Villegas, Fernando; Tornaría, Gonzalo 5 2007 A fundamental lemma for metaplectic correspondence. Zbl 0890.11019Mao, Zhengyu 5 1998 Relative Kloosterman integrals for the unitary group. Zbl 0780.11028Mao, Zhengyu 5 1992 A Plancherel formula for \(\mathrm{Sp}_{2 n}/\mathrm{Sp}_n\times\mathrm{Sp}_n\) and its application. Zbl 1204.43008Mao, Zhengyu; Rallis, Stephen 4 2009 Jacquet modules of the Weil representations and families of relative trace identities. Zbl 1060.11035Mao, Zhengyu; Rallis, Stephen 4 2004 Cuspidal representations associated to \((\text{GL}(n),O(n))\) over finite fields and \(p\)-adic fields. Zbl 0918.22013Hakim, Jeffrey; Mao, Zhengyu 4 1999 On Whittaker-Fourier coefficients of automorphic forms on unitary groups: reduction to a local identity. Zbl 1418.11075Lapid, Erez; Mao, Zhengyu 3 2016 On a generalization of Gross’s formula. Zbl 1368.11050Mao, Zhengyu 3 2012 A generalized Shimura correspondence for newforms. Zbl 1191.11014Mao, Zhengyu 3 2008 Supercuspidal representations of \(\text{GL}(n)\) distinguished by a unitary subgroup. Zbl 0921.22014Hakim, Jeffrey; Mao, Zhengyu 3 1998 Stability of certain oscillatory integrals. Zbl 1388.22015Lapid, Erez; Mao, Zhengyu 2 2013 A relative trace identity between \(\text{GL}_{2n}\) and \(\widetilde{\text{Sp}}_n\). Zbl 1259.11054Mao, Zhengyu; Rallis, Stephen 2 2010 Global method in relative trace identities. Zbl 1156.11319Mao, Zhengyu; Rallis, Stephen 2 2005 Howe duality and the trace formula. Zbl 1008.22008Mao, Zhengyu; Rallis, Stephen 2 1999 On a cubic lifting. Zbl 0954.11017Mao, Zhengyu; Rallis, Stephen 2 1999 A relative Kuznietsov trace formula on \(G_2\). Zbl 0941.11021Jiang, Dihua; Mao, Zhengyu; Rallis, Stephen 2 1999 A trace formula for dual pairs. Zbl 0923.11082Mao, Zhengyu; Rallis, Stephen 2 1997 Relative Salié sums. Zbl 0797.11052Mao, Zhengyu 2 1993 Local Rankin-Selberg integrals for Speh representations. Zbl 07194371Lapid, Erez M.; Mao, Zhengyu 1 2020 On the couple dynamics of wall-mounted flexible plates in tandem. Zbl 1415.76421Jin, Y.; Kim, J.-T.; Mao, Z.; Chamorro, L. P. 1 2018 A Bessel identity for the theta correspondence. Zbl 1334.11031Baruch, Ehud Moshe; Lapid, Erez; Mao, Zhengyu 1 2013 The induced Weil representation and the Shalika period. Zbl 1012.22033Mao, Zhengyu; Rallis, Stephen 1 1999 Airey sums, Kloosterman sums, and Salié sums. Zbl 0908.11059Mao, Zhengyu 1 1997 Local Rankin-Selberg integrals for Speh representations. Zbl 07194371Lapid, Erez M.; Mao, Zhengyu 1 2020 Kohnen’s formula and a conjecture of Darmon and Tornaría. Zbl 1391.11072Longo, Matteo; Mao, Zhengyu 5 2018 On the couple dynamics of wall-mounted flexible plates in tandem. Zbl 1415.76421Jin, Y.; Kim, J.-T.; Mao, Z.; Chamorro, L. P. 1 2018 On the formal degrees of square-integrable representations of odd special orthogonal and metaplectic groups. Zbl 1378.11061Ichino, Atsushi; Lapid, Erez; Mao, Zhengyu 6 2017 On an analogue of the Ichino-Ikeda conjecture for Whittaker coefficients on the metaplectic group. Zbl 1418.11076Lapid, Erez; Mao, Zhengyu 5 2017 Whittaker-Fourier coefficients of cusp forms on \(\widetilde{\mathrm{Sp}}_n\): reduction to a local statement. Zbl 1367.11053Lapid, Erez; Mao, Zhengyu 5 2017 On Whittaker-Fourier coefficients of automorphic forms on unitary groups: reduction to a local identity. Zbl 1418.11075Lapid, Erez; Mao, Zhengyu 3 2016 A conjecture on Whittaker-Fourier coefficients of cusp forms. Zbl 1396.11081Lapid, Erez; Mao, Zhengyu 18 2015 Model transition for representations of metaplectic type. Zbl 1337.22009Lapid, Erez; Mao, Zhengyu 7 2015 On a new functional equation for local integrals. Zbl 1306.22008Lapid, Erez; Mao, Zhengyu 8 2014 Schwarzian derivative and Landau’s theorem for logharmonic mappings. Zbl 1285.30009Mao, Zh.; Ponnusamy, S.; Wang, X. 12 2013 Stability of certain oscillatory integrals. Zbl 1388.22015Lapid, Erez; Mao, Zhengyu 2 2013 A Bessel identity for the theta correspondence. Zbl 1334.11031Baruch, Ehud Moshe; Lapid, Erez; Mao, Zhengyu 1 2013 On a generalization of Gross’s formula. Zbl 1368.11050Mao, Zhengyu 3 2012 A generalized Kohnen-Zagier formula for Maass forms. Zbl 1217.11047Baruch, Ehud Moshe; Mao, Zhengyu 9 2010 A relative trace identity between \(\text{GL}_{2n}\) and \(\widetilde{\text{Sp}}_n\). Zbl 1259.11054Mao, Zhengyu; Rallis, Stephen 2 2010 On the asymptotics of Whittaker functions. Zbl 1193.22016Lapid, Erez; Mao, Zhengyu 12 2009 A Plancherel formula for \(\mathrm{Sp}_{2 n}/\mathrm{Sp}_n\times\mathrm{Sp}_n\) and its application. Zbl 1204.43008Mao, Zhengyu; Rallis, Stephen 4 2009 A generalized Shimura correspondence for newforms. Zbl 1191.11014Mao, Zhengyu 3 2008 Central value of automorphic \(L\)-functions. Zbl 1191.11012Baruch, Ehud Moshe; Mao, Zhengyu 33 2007 Computation of central value of quadratic twists of modular \(L\)-functions. Zbl 1216.11111Mao, Zhengyu; Rodriguez-Villegas, Fernando; Tornaría, Gonzalo 5 2007 Bessel identities in the Waldspurger correspondence over the real numbers. Zbl 1064.22009Baruch, Ehud Moshe; Mao, Zhengyu 14 2005 Global method in relative trace identities. Zbl 1156.11319Mao, Zhengyu; Rallis, Stephen 2 2005 Jacquet modules of the Weil representations and families of relative trace identities. Zbl 1060.11035Mao, Zhengyu; Rallis, Stephen 4 2004 Bessel identities in the Waldspurger correspondence over a \(p\)-adic field. Zbl 1037.11034Baruch, Ehud Moshe; Mao, Zhengyu 10 2003 Cuspidal representations associated to \((\text{GL}(n),O(n))\) over finite fields and \(p\)-adic fields. Zbl 0918.22013Hakim, Jeffrey; Mao, Zhengyu 4 1999 Howe duality and the trace formula. Zbl 1008.22008Mao, Zhengyu; Rallis, Stephen 2 1999 On a cubic lifting. Zbl 0954.11017Mao, Zhengyu; Rallis, Stephen 2 1999 A relative Kuznietsov trace formula on \(G_2\). Zbl 0941.11021Jiang, Dihua; Mao, Zhengyu; Rallis, Stephen 2 1999 The induced Weil representation and the Shalika period. Zbl 1012.22033Mao, Zhengyu; Rallis, Stephen 1 1999 A fundamental lemma for metaplectic correspondence. Zbl 0890.11019Mao, Zhengyu 5 1998 Supercuspidal representations of \(\text{GL}(n)\) distinguished by a unitary subgroup. Zbl 0921.22014Hakim, Jeffrey; Mao, Zhengyu 3 1998 A trace formula for dual pairs. Zbl 0923.11082Mao, Zhengyu; Rallis, Stephen 2 1997 Airey sums, Kloosterman sums, and Salié sums. Zbl 0908.11059Mao, Zhengyu 1 1997 Relative Kloosterman integrals for \(GL(3)\). III. Zbl 0799.11014Mao, Zhengyu 6 1993 Relative Salié sums. Zbl 0797.11052Mao, Zhengyu 2 1993 Relative Kloosterman integrals for the unitary group. Zbl 0780.11028Mao, Zhengyu 5 1992 all cited Publications top 5 cited Publications all top 5 Cited by 138 Authors 13 Mao, Zhengyu 8 Lapid, Erez Moshe 7 Baruch, Ehud Moshe 7 Kaplan, Eyal 6 Jacquet, Hervé Michel 5 Hakim, Jeffrey L. 5 Longo, Matteo 5 Rallis, Stephen James 4 Abdulhadi, Zayid 4 Ali, Rosihan Mohamed 4 Martin, Kimball 4 Qi, Zhi 3 Chai, Jingsong 3 Furusawa, Masaaki 3 Gourevitch, Dmitry 3 Liu, Mingsheng 3 Morimoto, Kazuki 3 Soudry, David 2 Aizenbud, Avraham 2 Beuzart-Plessis, Raphaël 2 Blomer, Valentin 2 Brumley, Farrell 2 Cogdell, James W. 2 Liu, Yifeng 2 Matringe, Nadir 2 Nicole, Marc-Hubert 2 Offen, Omer 2 Prasanna, Kartik 2 Purkait, Soma 2 Rogawski, Jonathan D. 2 Sakellaridis, Yiannis 2 Sirolli, Nicolás 2 Templier, Nicolas 2 Tornaría, Gonzalo 2 Xue, Hang 2 Ye, Yangbo 1 Abu-Muhanna, Yusuf 1 Adrian, Moshe 1 Ahlgren, Scott D. 1 Anandavardhanan, U. K. 1 Atobe, Hiraku 1 Bai, Xiao-Xia 1 Banerjee, Debika 1 Beit-Aharon, Orr 1 Bump, Daniel 1 Chamorro, Leonardo P. 1 Chen, Jiaolong 1 Chen, Shih-Yu 1 Chen, Xingdi 1 Corbett, Andrew J. 1 Dang, Guoqiang 1 de Vera-Piquero, Carlos 1 Delorme, Patrick 1 Do, Viet Cuong 1 Duke, William Drexel 1 Dunn, Alexander 1 El-Hajj, Layan 1 Fang, Ainong 1 Feigon, Brooke 1 Fouvry, Etienne 1 Friedberg, Solomon 1 Fu, Shifeng 1 Fukuhara, Shinji 1 Gan, Wee Teck 1 Ganguly, Satadal 1 Garrett, Paul Brittingham 1 Gelbart, Stephen S. 1 Ginzburg, David 1 Gómez, Raúl W. 1 Hamieh, Alia 1 Harcos, Gergely 1 Heim, Bernhard Ernst 1 Hiraga, Kaoru 1 Hu, Yan 1 Hundley, Joseph 1 Ichino, Atsushi 1 Ikeda, Tamotsu 1 Imamoḡlu, Özlem 1 Jiang, Qinghua 1 Jin, Yaqing 1 Kargar, Rahim 1 Kato, Shin-ichi 1 Katsurada, Hidenori 1 Kim, Jintae 1 Kojima, Hisashi 1 Kowalski, Emmanuel 1 Lai, King Fai 1 Lansky, Joshua M. 1 Lester, Stephen J. 1 Li, Wen-Wei 1 Liu, Sheng-Chi 1 Liu, Shenhui 1 Liu, Zhenxing 1 Luo, Lifang 1 Mahzoon, Hesam 1 Masri, Riad 1 Meng, Fanning 1 Michel, Philippe Gabriel 1 Minchenko, Andrei 1 Mínguez, Alberto ...and 38 more Authors all top 5 Cited in 57 Serials 13 Israel Journal of Mathematics 13 Journal of Number Theory 9 Transactions of the American Mathematical Society 8 Mathematische Zeitschrift 5 Duke Mathematical Journal 5 Representation Theory 4 Compositio Mathematica 4 Manuscripta Mathematica 4 Forum Mathematicum 3 Inventiones Mathematicae 3 Mathematische Annalen 3 LMS Journal of Computation and Mathematics 3 Journal of the Institute of Mathematics of Jussieu 2 Journal of Functional Analysis 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 Journal of the American Mathematical Society 2 Experimental Mathematics 2 Journal de Théorie des Nombres de Bordeaux 2 Selecta Mathematica. New Series 2 Annals of Mathematics. Second Series 2 Algebra & Number Theory 1 Applicable Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Publications Mathématiques 1 Journal of Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Tohoku Mathematical Journal. Second Series 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 Integral Transforms and Special Functions 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Documenta Mathematica 1 The Ramanujan Journal 1 Abstract and Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mediterranean Journal of Mathematics 1 International Journal of Number Theory 1 Complex Variables and Elliptic Equations 1 Complex Analysis and Operator Theory 1 Journal of Classical Analysis 1 Annales Mathématiques du Québec 1 Journal of Function Spaces 1 Research in Number Theory all top 5 Cited in 20 Fields 104 Number theory (11-XX) 55 Topological groups, Lie groups (22-XX) 8 Potential theory (31-XX) 7 Functions of a complex variable (30-XX) 5 Algebraic geometry (14-XX) 5 Group theory and generalizations (20-XX) 5 Special functions (33-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Citations by Year