Edit Profile (opens in new tab) Piatetski-Shapiro, Ilya (b. 1929 d. 2009) Co-Author Distance Author ID: piatetski-shapiro.ilya-i Published as: Piatetski-Shapiro, Ilya I.; Pyatetskij-Shapiro, I. I.; Piatetski-Shapiro, I. I.; Pyatetskii-Shapiro, I. I.; Pyatetskiĭ-Shapiro, I. I.; Piatetski-Shapiro, Ilya more...less Further Spellings: איליה פיאטצקי-שפירו External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Awards: Wolf Prize (1990) Documents Indexed: 172 Publications since 1950, including 12 Books 2 Contributions as Editor · 1 Further Contribution Biographic References: 6 Publications Co-Authors: 61 Co-Authors with 115 Joint Publications 1,665 Co-Co-Authors all top 5 Co-Authors 59 single-authored 22 Cogdell, James W. 17 Gel’fand, Israil’ Moiseevich 9 Rallis, Stephen James 8 Gelbart, Stephen S. 8 Jacquet, Hervé Michel 8 Shalika, Joseph A. 7 Novodvorskij, M. E. 7 Shafarevich, Igor’ Rostislavovich 5 Gindikin, Simon Grigorevich 5 Graev, Mark Iosifovich 5 Shahidi, Freydoon 5 Stavskaya, O. N. 5 Tsetlin, Mikhail L’vovich 4 Leontovich, Aleksandr Mikhaĭlovich 4 Soudry, David 3 Bryzgalov, V. I. 3 Howe, Roger Evans 3 Sarnak, Peter Clive 3 Vinberg, Èrnest Borisovich 2 Evgrafov, M. A. 2 Fel’dman, Naum Il’ich 2 Kim, Henry H. 2 Kirshteĭn, B. H. 2 Korobov, Nikolaĭ Mikhaĭlovich 2 Levina, L. V. 2 Li, Jian-Shu 2 Linnik, Yuriĭ Vladimirovich 2 Patterson, Samuel James 2 Postnikov, Alekseĭ Georgievich 2 Schiffmann, Gérard 2 Shik, M. L. 2 Vasil’ev, N. B. 1 Baruch, Ehud Moshe 1 Berezin, Feliks Aleksandrovich 1 Bongard, M. M. 1 Campbell, Robert D. J. 1 Chentsov, Nikolaĭ Nikolaevich 1 Dynkin, Evgeniĭ Borisovich 1 Ginzburg, David 1 Goel, Narendra S. 1 Gohberg, Israel 1 Gromov, Mikhael Leonidovich 1 Gurfinkel’, V. S. 1 Gutnik, Leonid A. 1 Ivanov, Viktor Vladimirovich 1 Jiang, Dihua 1 Kim, Ju-Lee 1 Livšic, Mikhail Samuilovich (Moshe) 1 Malyshev, Vadim Aleksandrovich 1 Minlos, Robert Adol’fovich 1 Mostow, George Daniel 1 Novikov, Sergeĭ Petrovich 1 Onishchik, Arkadiĭ L’vovich 1 Petrovskaya, M. B. 1 Pomanskii, A. B. 1 Raghunathan, Ravi 1 Rybko, Aleksandr N. 1 Shapiro, Andrew A. 1 Shidlovskiĭ, Andrei Borisovich 1 Shlosman, Senya B. 1 Steinberg, M. S. 1 Suhov, Yurii Mikhailovich 1 Teicher, Mina 1 Toom, A. L. 1 Volkonskij, V. A. all top 5 Serials 10 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 8 Matematicheskiĭ Sbornik. Novaya Seriya 8 Translations. Series 2. American Mathematical Society 7 Doklady Akademii Nauk SSSR 6 Uspekhi Matematicheskikh Nauk [N. S.] 5 Soviet Mathematics. Doklady 5 Automation and Remote Control 4 Israel Journal of Mathematics 4 Russian Mathematical Surveys 4 Publications Mathématiques 4 Mathematics of the USSR. Izvestiya 4 Mathematics of the USSR, Sbornik 4 Doklady Akademii Nauk SSSR. Novaya Seriya 3 Inventiones Mathematicae 3 Transactions of the Moscow Mathematical Society 3 Problemy Peredachi Informatsii 3 Proceedings of the National Academy of Sciences of the United States of America 3 Comptes Rendus de l’Académie des Sciences. Série I 2 American Journal of Mathematics 2 Journal of Number Theory 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Geometric and Functional Analysis. GAFA 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Soviet Physics. Doklady 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Problemy Kibernetiki 1 Avtomatika i Telemekhanika 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of the Faculty of Science. Section I A 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Journal of the American Mathematical Society 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Mathematical Research Letters 1 Annals of Mathematics. Second Series 1 Journal of the Institute of Mathematics of Jussieu 1 Contemporary Mathematics 1 Israel Mathematical Conference Proceedings 1 Lecture Notes in Mathematics 1 Perspectives in Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Mathematics and its Applications 1 Travaux et Recherches Mathématiques all top 5 Fields 103 Number theory (11-XX) 65 Topological groups, Lie groups (22-XX) 16 Algebraic geometry (14-XX) 13 Group theory and generalizations (20-XX) 12 Several complex variables and analytic spaces (32-XX) 7 History and biography (01-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Biology and other natural sciences (92-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Abstract harmonic analysis (43-XX) 2 Commutative algebra (13-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 125 Publications have been cited 2,170 times in 1,523 Documents Cited by ▼ Year ▼ Rankin-Selberg convolutions. Zbl 0525.22018 Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 266 1983 Explicit constructions of automorphic \(L\)-functions. Zbl 0612.10022 Gelbart, Stephen; Piatetski-Shapiro, Ilya I.; Rallis, Stephen 109 1987 Rankin triple \(L\)-functions. Zbl 0637.10023 Piatetski-Shapiro, Ilya I.; Rallis, Stephen 81 1987 A Torelli theorem for algebraic surfaces of type K3. Zbl 0253.14006 Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 81 1972 Conducteur des représentations du groupe linéaire. Zbl 0443.22013 Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, J. 81 1981 Automorphic forms on \(GL(3)\). I, II. Zbl 0401.10037 Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 79 1979 On the distribution of the prime numbers in sequences of the form \([f(n)]\). Zbl 0053.02702 Piatetski-Shapiro, Ilya I. 79 1953 On the Saito-Kurokawa lifting. Zbl 0515.10024 Piatetski-Shapiro, Ilya I. 73 1983 Functoriality for the classical groups. Zbl 1090.22010 Cogdell, J. W.; Kim, H. H.; Piatetski-Shapiro, I. I.; Shahidi, F. 72 2004 Non-arithmetic groups in Lobachevsky spaces. Zbl 0649.22007 Gromov, M.; Piatetski-Shapiro, Ilya I. 70 1988 Der Satz von Torelli für algebraische Flächen vom Typ K3. Zbl 0219.14021 Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 70 1971 Representation theory and automorphic function. Translated from the Russian by K. A. Hirsch. Zbl 0177.18003 Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 67 1969 Generalized functions. Vol. 6. Representation theory and automorphic functions. (Обобщенные функций. Выпуск 6. Теория представлений и автоморфные функции.) Zbl 0138.07201 Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 48 1966 Distinguished representations and modular forms of half-integral weight. Zbl 0426.10027 Gelbart, Stephen; Piatetski-Shapiro, Ilya I. 43 1980 Converse theorems for \(\text{GL}_n\). Zbl 0814.11033 Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 41 1994 Automorphic functions and the geometry of classical domains. Translated from the Russian. Zbl 0196.09901 Piatetski-Shapiro, Ilya I. 38 1969 Complex representations of \(\text{GL}(2,K)\) for finite fields \(K\). Zbl 0513.20026 Piatetski-Shapiro, Ilya I. 35 1983 Some examples of automorphic forms on Sp4. Zbl 0529.22012 Howe, Roger; Piatetski-Shapiro, Ilya I. 34 1983 On lifting from classical groups to \(\text{GL}_N\). Zbl 1028.11029 Cogdell, J. W.; Kim, H. H.; Piatetski-Shapiro, I. I.; Shahidi, F. 32 2001 \(L\) functions for the orthogonal group. Zbl 0884.11022 Ginzburg, D.; Piatetski-Shapiro, Ilya I.; Rallis, S. 32 1997 On a variant of the Waring-Goldbach problem. Zbl 0047.28001 Piatetski-Shapiro, Ilya I. 32 1952 A new way to get Euler products. Zbl 0651.10021 Piatetski-Shapiro, Ilya I.; Rallis, S. 30 1988 Multiplicity one theorems. Zbl 0423.22017 Piatetski-Shapiro, Ilya I. 30 1979 Classification and canonical realization of complex bounded homogeneous domains. Zbl 0137.05603 Vinberg, È. B.; Piatetski-Shapiro, Ilya I. 28 1963 \(\varepsilon\) factor of representations of classical groups. Zbl 0599.12012 Piatetski-Shapiro, Ilya I.; Rallis, Stephen 28 1986 The arithmetic and spectral analysis of Poincaré series. (Notes prepared by Ze’ev Rudnick). Zbl 0714.11032 Cogdell, James W.; Piatetski-Shapiro, Ilya I. 28 1990 A counterexample to the ”generalized Ramanujan conjecture” for (quasi-) split groups. Zbl 0423.22018 Howe, Roger; Piatetski-Shapiro, Ilya I. 25 1979 Converse theorems for \(\text{GL}_n\). II. Zbl 0912.11022 Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 22 1999 Euler subgroups. Zbl 0329.20028 Piatetski-Shapiro, Ilya I. 22 1975 Functoriality for the quasisplit classical groups. Zbl 1235.22025 Cogdell, J. W.; Piatetski-Shapiro, I. I.; Shahidi, F. 20 2011 On Shimura’s correspondence for modular forms of half-integral weight. Zbl 0495.10020 Gelbart, Stephen; Piatetski-Shapiro, Ilya I. 19 1981 Remarks on Rankin-Selberg convolutions. Zbl 1080.11038 Cogdell, James W.; Piatetski-Shapiro, Ilya I. 19 2004 Representation theory and automorphic functions. Transl. from the Russian by K. A. Hirsch. Reprint. Zbl 0718.11022 Gel’fand, I. M.; Graev, M. I.; Piatetski-Shapiro, Ilya I. 18 1990 Relevement cubique non normal. Zbl 0475.12017 Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 17 1981 Automorphic forms and L-functions for the unitary group. Zbl 0531.10034 Gelbart, Stephen; Piatetski-Shapiro, Ilya I. 16 1984 The symmetric-square L-function attached to a cuspidal automorphic representation of \(GL_ 3\). Zbl 0645.22007 Patterson, S. J.; Piatetski-Shapiro, Ilya I. 14 1989 \(L\)-functions for GS\(p_4\). Special issue of the Pacific Journal of Mathematics. Zbl 1001.11020 Piatetski-Shapiro, I. I. 14 1998 Poincaré series for \(SO(n,1)\). Zbl 0743.11028 Cogdell, J.; Li, J.-S.; Piatetski-Shapiro, Ilya I.; Sarnak, P. 14 1991 Uniqueness and existence of Whittaker models for the metaplectic group. Zbl 0441.22015 Gelbart, Stephen; Howe, Roger; Piatetski-Shapiro, Ilya I. 14 1979 Derivatives and \(L\)-functions for \(\mathrm{GL}_n\). Zbl 1433.11054 Cogdell, J. W.; Piatetski-Shapiro, I. I. 14 2017 Some remarks on metaplectic cusp forms and the correspondences of Shimura and Waldspurger. Zbl 0526.10026 Gelbart, Stephen; Piatetski-Shapiro, Ilya I. 11 1983 On the laws of distribution of the fractional parts of an exponential function. Zbl 0042.04902 Piatetski-Shapiro, Ilya I. 11 1951 Work of Waldspurger. Zbl 0539.22017 Piatetski-Shapiro, Ilya I. 10 1984 \(L\)-functions of automorphic forms on simple classical groups. Zbl 0566.10022 Piatetski-Shapiro, Ilya I.; Rallis, Stephen 10 1984 L and epsilon factors for \(GSp(4)\). Zbl 0499.22020 Piatetski-Shapiro, Ilya I.; Soudry, David 9 1981 On a problem proposed by É. Cartan. Zbl 0089.06201 Piatetski-Shapiro, Ilya I. 9 1959 Géométrie des domaines classiques et théorie des fonctions automorphes. Traduit par A.W. Golovanoff. Zbl 0142.05101 Piatetski-Shapiro, Ilya I. 9 1966 Partial Bessel functions for quasi-split groups. Zbl 1101.22011 Cogdell, J. W.; Piatetski-Shapiro, I. I.; Shahidi, F. 9 2005 Induced rings and reduction of fields of automorphic functions. Zbl 0201.53701 Pyatetskiĭ-Shapiro, I. I. 9 1970 On a correspondence of automorphic forms on orthogonal groups of order five. Zbl 0644.22009 Piatetski-Shapiro, Ilya I.; Soudry, David 8 1987 Geometry of classical domains and the theory of discrete groups. (Геометрия классических областей и теория автоморфных функций.) Zbl 0137.27502 Piatetski-Shapiro, Ilya I. 8 1961 Stability of \(\gamma\)-factors for quasi-split groups. Zbl 1175.11024 Cogdell, J. W.; Piatetski-Shapiro, I. I.; Shahidi, F. 7 2008 Stability of gamma factors for \(SO(2n+1)\). Zbl 0959.22011 Cogdell, J. W.; Piatetski-Shapiro, I. I. 7 1998 A cubic analogue of the cuspidal theta representations. Zbl 0563.10022 Patterson, S. J.; Piatetski-Shapiro, Ilya I. 7 1984 Homogeneous Kähler manifolds. Zbl 0183.35401 Gindikin, S. G.; Pyatetskij-Shapiro, I. I.; Vinberg, E. B. 7 1968 On homogeneous networks of spontaneous activ elements. Zbl 0191.31102 Stavskaya, O. N.; Pyatetskij-Shapiro, I. I. 7 1968 Base change for the Saito-Kurokawa representations of PGSp(4). Zbl 0652.10022 Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 6 1988 Poincaré series for \(\mathrm{SO}(n,1)\). Zbl 0659.10028 Li, Jian-Shu; Piatetski-Shapiro, Ilya I.; Sarnak, P. 6 1987 A converse theorem for \(GL_ 4\). Zbl 0864.22009 Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 6 1996 Mathematical models for cell rearrangement. Zbl 0308.92001 6 1975 Generalized functions. Vol. 6: Representation theory and automorphic functions. Translated from the Russian by K. A. Hirsch. Reprint of the 1969 original published by Academic Press. Zbl 1339.01004 Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 6 2016 Quadratic base change of \(\theta_{10}\). Zbl 0973.22012 Kim, Ju-Lee; Piatetski-Shapiro, Ilya I. 5 2001 Homogeneous games for automata and their computer simulation. Zbl 0141.33904 Bryzgalov, V. I.; Gel’fand, I. M.; Pyatetskij-Shapiro, I. I.; Tsetlin, M. L. 5 1965 Interrelations between the Tate and Hodge conjectures for Abelian varieties. Zbl 0229.14014 Pyatetskij-Shapiro, I. I. 5 1971 Generalized Bessel models for a symplectic group of rank 2. Zbl 0281.22019 Novodvorskij, M. E.; Pyatetskij-Shapiro, I. I. 5 1974 Classical and adelic automorphic forms. An introduction. Zbl 0423.10017 Piatetski-Shapiro, Ilya I. 5 1979 Rankin-Selberg integrals for the group \(G_ 2\). Zbl 0777.11017 Piatetski-Shapiro, Ilya I.; Rallis, S.; Schiffmann, G. 5 1992 Normal Bernoulli sequences of symbols. Zbl 0078.31102 Postnikov, A. G.; Piatetski-Shapiro, Ilya I. 4 1957 On bounded homogeneous domains in \(n\)-dimensional complex space. Zbl 0105.06302 Piatetski-Shapiro, Ilya I. 4 1962 Classification of bounded homogeneous domains in \(n\)-dimensional complex space. Zbl 0121.06801 Pyatetskij-Shapiro, I. I. 4 1961 Theory of representations and theory of automorphic functions. Zbl 0138.31901 Gel’fand, I. M.; Pyatetskij-Shapiro, I. I. 4 1963 Automorphic L-functions of half-integral weight. Zbl 0379.10017 Gelbart, Stephen S.; Piatetski-Shapiro, Ilya I. 4 1978 Converse theorems, functoriality, and applications to number theory. Zbl 1146.11312 Cogdell, J. W.; Piatetski-Shapiro, I. I. 4 2002 Facteurs L et epsilon du groupe linéaire: théorie archimedienne. Zbl 0478.22006 Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 3 1981 Cuspidal automorphic representations associated to parabolic subgroups and Ramanujan conjecture. Zbl 0505.12017 Piatetski-Shapiro, Ilya I. 3 1982 \(L\) and \(\epsilon\) functions for \(GSp(4)\times GL(2)\). Zbl 0541.22012 Piatetski-Shapiro, Ilya I.; Soudry, David 3 1984 A remark on my paper ”On the Saito-Kurokawa lifting”. Zbl 0559.10021 Piatetski-Shapiro, Ilya I. 3 1984 Special automorphic forms on \(PGSp_ 4\). Zbl 0566.10021 Piatetski-Shapiro, Ilya I. 3 1983 Normal Markov sequences of symbols and normal continued fractions. Zbl 0084.13601 Postnikov, A. G.; Piatetski-Shapiro, Ilya I. 3 1958 On a Poincaré theorem. Zbl 0107.17101 Gel’fand, I. M.; Piatetski-Shapiro, Ilya I. 3 1959 The structure of \(j\)-algebras. Zbl 0109.05601 Piatetski-Shapiro, Ilya I. 3 1962 Unitary representations in a space \(G/\Gamma\), where \(G\) is a group of \(n\)-by-\(n\) real matrices and \(\Gamma\) is a subgroup of integer matrices. Zbl 0119.27101 Gel’fand, I. M.; Piatetski-Shapiro, Ilya I. 3 1962 Automorphic functions and representation theory. Zbl 0136.07301 Gel’fand, I. M.; Pyatetskij-Shapiro, I. I. 3 1963 The geometry and classification of bounded homogeneous domains. Zbl 0142.05002 Pyatetskij-Shapiro, I. I. 3 1965 Interrelations between the Tate and Hodge conjectures for Abelian varieties. Zbl 0239.14019 Pyatetskij-Shapiro, I. I. 3 1972 On a controlable branching process. Zbl 0259.60036 Levina, L. V.; Leontovich, A. M.; Pyatetskij-Shapiro, I. I. 3 1968 Arithmetic of \(K3\) surfaces. Zbl 0293.14010 Piatetski-Shapiro, Ilya I.; Shafarevich, I. R. 3 1973 zeta-functions of modular curves. Zbl 0308.14004 Piatetski-Shapiro, Ilya I. 3 1973 Tate theory for reductive groups and distinguished representations. Zbl 0443.12003 Piatetski-Shapiro, Ilya I. 3 1980 Model of voting with random error. Zbl 0205.17803 Vasil’ev, N. B.; Petrovskaya, M. B.; Pyatetskij-Shapiro, I. I. 3 1969 Base change for \(SL_ 2^{\sim}\). Zbl 0632.10031 Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 2 1987 Selected works of Ilya Piatetski-Shapiro. Edited by James Cogdell, Simon Gindikin and Peter Sarnak. Zbl 0958.01046 Piatetski-Shapiro, Ilya 2 2000 Unitarity and functoriality. Zbl 0842.11021 Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 2 1995 On Hamburger’s theorem. Zbl 0843.11041 Piatetski-Shapiro, Ilya I.; Raghunathan, Ravi 2 1995 On base change for odd orthogonal groups. Zbl 0849.11043 Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 2 1995 Conducteur des représentations generiques du groupe linéaire. Zbl 0475.22012 Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 2 1981 Converse theorems for GL\(_n\) and their application to liftings. Zbl 1039.11030 Cogdell, J. W.; Piatetski-Shapiro, I. I. 2 2001 Some problems of harmonic analysis in homogeneous cones. Zbl 0080.03404 Piatetski-Shapiro, Ilya I. 2 1957 Bounded homogeneous domains in \(n\)-dimensional complex space. Zbl 0154.08401 Pyatetskij-Shapiro, I. I. 2 1964 The meromorphic continuation of Kloosterman-Selberg zeta functions. Zbl 0694.10039 Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 2 1990 Derivatives and \(L\)-functions for \(\mathrm{GL}_n\). Zbl 1433.11054 Cogdell, J. W.; Piatetski-Shapiro, I. I. 14 2017 Generalized functions. Vol. 6: Representation theory and automorphic functions. Translated from the Russian by K. A. Hirsch. Reprint of the 1969 original published by Academic Press. Zbl 1339.01004 Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 6 2016 Functoriality for the quasisplit classical groups. Zbl 1235.22025 Cogdell, J. W.; Piatetski-Shapiro, I. I.; Shahidi, F. 20 2011 On partial Poincaré series. Zbl 1187.11019 Cogdell, J. W.; Piatetski-Shapiro, I. I. 1 2009 Stability of \(\gamma\)-factors for quasi-split groups. Zbl 1175.11024 Cogdell, J. W.; Piatetski-Shapiro, I. I.; Shahidi, F. 7 2008 Partial Bessel functions for quasi-split groups. Zbl 1101.22011 Cogdell, J. W.; Piatetski-Shapiro, I. I.; Shahidi, F. 9 2005 Functoriality for the classical groups. Zbl 1090.22010 Cogdell, J. W.; Kim, H. H.; Piatetski-Shapiro, I. I.; Shahidi, F. 72 2004 Remarks on Rankin-Selberg convolutions. Zbl 1080.11038 Cogdell, James W.; Piatetski-Shapiro, Ilya I. 19 2004 On the uniqueness of Fourier Jacobi models for representations of \(U(2,1)\). Zbl 1036.22006 Baruch, Ehud Moshe; Piatetski-Shapiro, Ilya; Rallis, Stephen 1 2003 Converse theorems, functoriality, and applications to number theory. Zbl 1146.11312 Cogdell, J. W.; Piatetski-Shapiro, I. I. 4 2002 On lifting from classical groups to \(\text{GL}_N\). Zbl 1028.11029 Cogdell, J. W.; Kim, H. H.; Piatetski-Shapiro, I. I.; Shahidi, F. 32 2001 Quadratic base change of \(\theta_{10}\). Zbl 0973.22012 Kim, Ju-Lee; Piatetski-Shapiro, Ilya I. 5 2001 Converse theorems for GL\(_n\) and their application to liftings. Zbl 1039.11030 Cogdell, J. W.; Piatetski-Shapiro, I. I. 2 2001 Selected works of Ilya Piatetski-Shapiro. Edited by James Cogdell, Simon Gindikin and Peter Sarnak. Zbl 0958.01046 Piatetski-Shapiro, Ilya 2 2000 Converse theorems for \(\text{GL}_n\). II. Zbl 0912.11022 Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 22 1999 \(L\)-functions for GS\(p_4\). Special issue of the Pacific Journal of Mathematics. Zbl 1001.11020 Piatetski-Shapiro, I. I. 14 1998 Stability of gamma factors for \(SO(2n+1)\). Zbl 0959.22011 Cogdell, J. W.; Piatetski-Shapiro, I. I. 7 1998 \(L\) functions for the orthogonal group. Zbl 0884.11022 Ginzburg, D.; Piatetski-Shapiro, Ilya I.; Rallis, S. 32 1997 A converse theorem for \(GL_ 4\). Zbl 0864.22009 Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 6 1996 Unitarity and functoriality. Zbl 0842.11021 Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 2 1995 On Hamburger’s theorem. Zbl 0843.11041 Piatetski-Shapiro, Ilya I.; Raghunathan, Ravi 2 1995 On base change for odd orthogonal groups. Zbl 0849.11043 Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 2 1995 Converse theorems for \(\text{GL}_n\). Zbl 0814.11033 Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 41 1994 Rankin-Selberg integrals for the group \(G_ 2\). Zbl 0777.11017 Piatetski-Shapiro, Ilya I.; Rallis, S.; Schiffmann, G. 5 1992 Poincaré series for \(SO(n,1)\). Zbl 0743.11028 Cogdell, J.; Li, J.-S.; Piatetski-Shapiro, Ilya I.; Sarnak, P. 14 1991 The arithmetic and spectral analysis of Poincaré series. (Notes prepared by Ze’ev Rudnick). Zbl 0714.11032 Cogdell, James W.; Piatetski-Shapiro, Ilya I. 28 1990 Representation theory and automorphic functions. Transl. from the Russian by K. A. Hirsch. Reprint. Zbl 0718.11022 Gel’fand, I. M.; Graev, M. I.; Piatetski-Shapiro, Ilya I. 18 1990 The meromorphic continuation of Kloosterman-Selberg zeta functions. Zbl 0694.10039 Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 2 1990 L functions for the group \(G_ 2\). Zbl 0734.11034 Piatetski-Shapiro, Ilya I.; Rallis, S.; Schiffmann, G. 2 1990 The symmetric-square L-function attached to a cuspidal automorphic representation of \(GL_ 3\). Zbl 0645.22007 Patterson, S. J.; Piatetski-Shapiro, Ilya I. 14 1989 The existence of Maaß cusp forms and Kloosterman sums. Zbl 0683.10023 Piatetski-Shapiro, Ilya I. 1 1989 Special representations of rank one orthogonal groups. Zbl 0687.10020 Piatetski-Shapiro, Ilya I.; Soudry, David 1 1989 Non-arithmetic groups in Lobachevsky spaces. Zbl 0649.22007 Gromov, M.; Piatetski-Shapiro, Ilya I. 70 1988 A new way to get Euler products. Zbl 0651.10021 Piatetski-Shapiro, Ilya I.; Rallis, S. 30 1988 Base change for the Saito-Kurokawa representations of PGSp(4). Zbl 0652.10022 Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 6 1988 Explicit constructions of automorphic \(L\)-functions. Zbl 0612.10022 Gelbart, Stephen; Piatetski-Shapiro, Ilya I.; Rallis, Stephen 109 1987 Rankin triple \(L\)-functions. Zbl 0637.10023 Piatetski-Shapiro, Ilya I.; Rallis, Stephen 81 1987 On a correspondence of automorphic forms on orthogonal groups of order five. Zbl 0644.22009 Piatetski-Shapiro, Ilya I.; Soudry, David 8 1987 Poincaré series for \(\mathrm{SO}(n,1)\). Zbl 0659.10028 Li, Jian-Shu; Piatetski-Shapiro, Ilya I.; Sarnak, P. 6 1987 Base change for \(SL_ 2^{\sim}\). Zbl 0632.10031 Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 2 1987 Invariant theory and Kloosterman sums. Zbl 0631.10016 Piatetski-Shapiro, Ilya I. 1 1987 \(\varepsilon\) factor of representations of classical groups. Zbl 0599.12012 Piatetski-Shapiro, Ilya I.; Rallis, Stephen 28 1986 Automorphic forms and L-functions for the unitary group. Zbl 0531.10034 Gelbart, Stephen; Piatetski-Shapiro, Ilya I. 16 1984 Work of Waldspurger. Zbl 0539.22017 Piatetski-Shapiro, Ilya I. 10 1984 \(L\)-functions of automorphic forms on simple classical groups. Zbl 0566.10022 Piatetski-Shapiro, Ilya I.; Rallis, Stephen 10 1984 A cubic analogue of the cuspidal theta representations. Zbl 0563.10022 Patterson, S. J.; Piatetski-Shapiro, Ilya I. 7 1984 \(L\) and \(\epsilon\) functions for \(GSp(4)\times GL(2)\). Zbl 0541.22012 Piatetski-Shapiro, Ilya I.; Soudry, David 3 1984 A remark on my paper ”On the Saito-Kurokawa lifting”. Zbl 0559.10021 Piatetski-Shapiro, Ilya I. 3 1984 Rankin-Selberg convolutions. Zbl 0525.22018 Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 266 1983 On the Saito-Kurokawa lifting. Zbl 0515.10024 Piatetski-Shapiro, Ilya I. 73 1983 Complex representations of \(\text{GL}(2,K)\) for finite fields \(K\). Zbl 0513.20026 Piatetski-Shapiro, Ilya I. 35 1983 Some examples of automorphic forms on Sp4. Zbl 0529.22012 Howe, Roger; Piatetski-Shapiro, Ilya I. 34 1983 Some remarks on metaplectic cusp forms and the correspondences of Shimura and Waldspurger. Zbl 0526.10026 Gelbart, Stephen; Piatetski-Shapiro, Ilya I. 11 1983 Special automorphic forms on \(PGSp_ 4\). Zbl 0566.10021 Piatetski-Shapiro, Ilya I. 3 1983 Cuspidal automorphic representations associated to parabolic subgroups and Ramanujan conjecture. Zbl 0505.12017 Piatetski-Shapiro, Ilya I. 3 1982 Conducteur des représentations du groupe linéaire. Zbl 0443.22013 Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, J. 81 1981 On Shimura’s correspondence for modular forms of half-integral weight. Zbl 0495.10020 Gelbart, Stephen; Piatetski-Shapiro, Ilya I. 19 1981 Relevement cubique non normal. Zbl 0475.12017 Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 17 1981 L and epsilon factors for \(GSp(4)\). Zbl 0499.22020 Piatetski-Shapiro, Ilya I.; Soudry, David 9 1981 Facteurs L et epsilon du groupe linéaire: théorie archimedienne. Zbl 0478.22006 Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 3 1981 Conducteur des représentations generiques du groupe linéaire. Zbl 0475.22012 Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 2 1981 Distinguished representations and modular forms of half-integral weight. Zbl 0426.10027 Gelbart, Stephen; Piatetski-Shapiro, Ilya I. 43 1980 Tate theory for reductive groups and distinguished representations. Zbl 0443.12003 Piatetski-Shapiro, Ilya I. 3 1980 Automorphic forms on \(GL(3)\). I, II. Zbl 0401.10037 Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 79 1979 Multiplicity one theorems. Zbl 0423.22017 Piatetski-Shapiro, Ilya I. 30 1979 A counterexample to the ”generalized Ramanujan conjecture” for (quasi-) split groups. Zbl 0423.22018 Howe, Roger; Piatetski-Shapiro, Ilya I. 25 1979 Uniqueness and existence of Whittaker models for the metaplectic group. Zbl 0441.22015 Gelbart, Stephen; Howe, Roger; Piatetski-Shapiro, Ilya I. 14 1979 Classical and adelic automorphic forms. An introduction. Zbl 0423.10017 Piatetski-Shapiro, Ilya I. 5 1979 Facteurs L et \(\varepsilon\) du groupe linéaire. Zbl 0448.10022 Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 2 1979 Automorphic L-functions of half-integral weight. Zbl 0379.10017 Gelbart, Stephen S.; Piatetski-Shapiro, Ilya I. 4 1978 Construction de formes automorphes pour le groupe GL(3). Zbl 0356.12017 Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 1 1976 Euler subgroups. Zbl 0329.20028 Piatetski-Shapiro, Ilya I. 22 1975 Mathematical models for cell rearrangement. Zbl 0308.92001 6 1975 The arithmetic of \(K3\) surfaces. Zbl 0305.14014 Piatetski-Shapiro, Ilya I.; Shafarevich, I. R. 1 1975 On the Weil-Jacquet-Langlands theorem. Zbl 0329.22014 Piatetski-Shapiro, Ilya I. 1 1975 Generalized Bessel models for a symplectic group of rank 2. Zbl 0281.22019 Novodvorskij, M. E.; Pyatetskij-Shapiro, I. I. 5 1974 Arithmetic of \(K3\) surfaces. Zbl 0293.14010 Piatetski-Shapiro, Ilya I.; Shafarevich, I. R. 3 1973 zeta-functions of modular curves. Zbl 0308.14004 Piatetski-Shapiro, Ilya I. 3 1973 Verallgemeinerte Besselsche Modelle für eine symplektische Gruppe vom Rang 2. Zbl 0272.22013 Novodvorskij, M. E.; Pyatetskij-Shapiro, I. I. 1 1973 A Torelli theorem for algebraic surfaces of type K3. Zbl 0253.14006 Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 81 1972 Interrelations between the Tate and Hodge conjectures for Abelian varieties. Zbl 0239.14019 Pyatetskij-Shapiro, I. I. 3 1972 Der Satz von Torelli für algebraische Flächen vom Typ K3. Zbl 0219.14021 Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 70 1971 Interrelations between the Tate and Hodge conjectures for Abelian varieties. Zbl 0229.14014 Pyatetskij-Shapiro, I. I. 5 1971 On the classification of one-dimensional homogeneous networks. Zbl 0306.94030 Vasil’ev, N. B.; Piatetski-Shapiro, Ilya I. 1 1971 Induced rings and reduction of fields of automorphic functions. Zbl 0201.53701 Pyatetskiĭ-Shapiro, I. I. 9 1970 Some mathematical problems connected with morphogenesis. Zbl 0213.21902 Leontovich, A. M.; Pyatetskij-Shapiro, I. I.; Stavskaya, O. N. 1 1970 Representation theory and automorphic function. Translated from the Russian by K. A. Hirsch. Zbl 0177.18003 Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 67 1969 Automorphic functions and the geometry of classical domains. Translated from the Russian. Zbl 0196.09901 Piatetski-Shapiro, Ilya I. 38 1969 Model of voting with random error. Zbl 0205.17803 Vasil’ev, N. B.; Petrovskaya, M. B.; Pyatetskij-Shapiro, I. I. 3 1969 Homogeneous Kähler manifolds. Zbl 0183.35401 Gindikin, S. G.; Pyatetskij-Shapiro, I. I.; Vinberg, E. B. 7 1968 On homogeneous networks of spontaneous activ elements. Zbl 0191.31102 Stavskaya, O. N.; Pyatetskij-Shapiro, I. I. 7 1968 On a controlable branching process. Zbl 0259.60036 Levina, L. V.; Leontovich, A. M.; Pyatetskij-Shapiro, I. I. 3 1968 On reduction modulo a prime of field of modular functions. Zbl 0179.12401 Pyatetskij-Shapiro, I. I. 1 1968 Discrete subgroups of Lie groups. Zbl 0203.32907 Pyatetskij-Shapiro, I. I. 1 1968 Generalized functions. Vol. 6. Representation theory and automorphic functions. (Обобщенные функций. Выпуск 6. Теория представлений и автоморфные функции.) Zbl 0138.07201 Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 48 1966 Géométrie des domaines classiques et théorie des fonctions automorphes. Traduit par A.W. Golovanoff. Zbl 0142.05101 Piatetski-Shapiro, Ilya I. 9 1966 Maximal discrete subgroups of the unimodular group. Zbl 0223.20052 Gutnik, L. A.; Pyatetskij-Shapiro, I. I. 1 1966 Homogeneous games for automata and their computer simulation. Zbl 0141.33904 Bryzgalov, V. I.; Gel’fand, I. M.; Pyatetskij-Shapiro, I. I.; Tsetlin, M. L. 5 1965 The geometry and classification of bounded homogeneous domains. Zbl 0142.05002 Pyatetskij-Shapiro, I. I. 3 1965 Bounded homogeneous domains in \(n\)-dimensional complex space. Zbl 0154.08401 Pyatetskij-Shapiro, I. I. 2 1964 ...and 25 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,238 Authors 30 Ginzburg, David 24 Soudry, David 21 Jiang, Dihua 21 Rallis, Stephen James 19 Piatetski-Shapiro, Ilya 17 Henniart, Guy M. 17 Liu, Baiying 14 Friedberg, Solomon 14 Kaplan, Eyal 14 Matringe, Nadir 14 Shahidi, Freydoon 13 Kondō, Shigeyuki 13 Kudla, Stephen S. 13 Li, Jinjiang 13 Sarnak, Peter Clive 12 Bump, Daniel 12 Pitale, Ameya 12 Zhang, Min 11 Chen, Shih-Yu 11 Gelbart, Stephen S. 10 Flicker, Yuval Z. 10 Gan, Wee Teck 10 Ichino, Atsushi 10 Mao, Zhengyu 10 Prasad, Dipendra 10 Schmidt, Ralf 10 Yamana, Shunsuke 9 Bushnell, Colin John 9 Guo, Victor Zhenyu 9 Jo, Yeong Seong 9 Kazhdan, David 9 Kim, Henry H. 9 Li, Jian-Shu 8 Baruch, Ehud Moshe 8 Blomer, Valentin 8 Dimitrov, Stoyan Ivanov 8 Dragovich, Branko 8 Harris, Michael Howard 8 Jacquet, Hervé Michel 8 Khrennikov, Andreĭ Yur’evich 8 Lapid, Erez Moshe 8 Liu, Yifeng 8 Pollack, Aaron 8 Saha, Abhishek 8 Stade, Eric 8 Zhang, Qing 7 Brown, Jim L. 7 Cogdell, James W. 7 Hoffstein, Jeffrey 7 Hua, Guodong 7 Nikulin, Vyacheslav Valentinovich 7 Qi, Zhi 7 Szpruch, Dani 7 Ye, Yangbo 6 Adrian, Moshe 6 Akbal, Yıldırım 6 Buttcane, Jack 6 Gillespie, Timothy L. 6 Gourevitch, Dmitry 6 Reznikov, Andre 6 Savin, Gordan 6 Schulze-Pillot, Rainer 6 Skinner, Christopher M. 6 Srichan, Teerapat 6 Sun, Binyong 6 Watanabe, Takao 5 Anandavardhanan, U. K. 5 Bouganis, Thanasis 5 Cai, Yingchun 5 Carlson, James A. 5 Degtyarev, Alex 5 Grbac, Neven 5 Gross, Benedict Hyman 5 Ishi, Hideyuki 5 Ji, Lizhen 5 Lomelí, Luis Alberto 5 Lubotzky, Alexander 5 Miyauchi, Michitaka 5 Moeglin, Colette 5 Morimoto, Kazuki 5 Murase, Atsushi 5 Nelson, Paul D. 5 Nomura, Takaaki 5 Ramakrishnan, Dinakar 5 Schütt, Matthias 5 Schwermer, Joachim 5 Shelkovich, Vladimir M. 5 Stover, Matthew 5 Wong, Peng-Jie 5 Yamauchi, Takuya 4 Alexeev, Valery A. 4 Azukawa, Kazuo 4 Beuzart-Plessis, Raphaël 4 Böcherer, Siegfried 4 Cai, Yuanqing 4 Chenevier, Gaëtan 4 Clozel, Laurent 4 Dolgachev, Igor’ Vladimirovich 4 Engel, Philip Milton 4 Furusawa, Masaaki ...and 1,138 more Authors all top 5 Cited in 229 Serials 112 Journal of Number Theory 61 Duke Mathematical Journal 59 Compositio Mathematica 57 Israel Journal of Mathematics 57 Inventiones Mathematicae 49 Mathematische Annalen 37 Transactions of the American Mathematical Society 36 Mathematische Zeitschrift 34 International Journal of Number Theory 32 Manuscripta Mathematica 26 Journal of Functional Analysis 24 The Ramanujan Journal 22 Bulletin of the American Mathematical Society. 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