Edit Profile Piatetski-Shapiro, Ilya Compute Distance To: Compute Author ID: piatetski-shapiro.ilya-i Published as: Piatetski-Shapiro, I. I.; Piatetski-Shapiro, Ilya; Piatetski-Shapiro, Ilya I.; Pyatetskii-Shapiro, I. I.; Pyatetskij-Shapiro, I. I.; Pyatetskiĭ-Shapiro, I. I. External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor Awards: Wolf Prize (1990) Documents Indexed: 174 Publications since 1950, including 14 Books Biographic References: 6 Publications all top 5 Co-Authors 60 single-authored 21 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 Graev, Mark Iosifovich 5 Shahidi, Freydoon 5 Stavskaya, O. N. 5 Tsetlin, Mikhail L’vovich 4 Gindikin, Simon Grigorevich 4 Leontovich, Aleksandr Mikhaĭlovich 4 Soudry, David 3 Bryzgalov, V. I. 3 Howe, Roger Evans 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 Sarnak, Peter Clive 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 Chentsov, Nikolaĭ Nikolaevich 1 Dynkin, Evgeniĭ Borisovich 1 Ginzburg, David 1 Gohberg, Israel 1 Gromov, Mikhael Leonidovich 1 Gurfinkel’, V. S. 1 Gutnik, Leonid A. 1 Ivanov, Valery V. 1 Jiang, Dihua 1 Kim, Ju-Lee 1 Livšic, Mikhail Samuilovich (Moshe) 1 Malyshev, Vadim Aleksandrovich 1 Minlos, Robert Adol’fovich 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 Shidlovskij, A. B. 1 Shlosman, Senya B. 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 Proceedings of the Steklov Institute of Mathematics all top 5 Fields 102 Number theory (11-XX) 65 Topological groups, Lie groups (22-XX) 16 Algebraic geometry (14-XX) 12 Group theory and generalizations (20-XX) 12 Several complex variables and analytic spaces (32-XX) 6 History and biography (01-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 4 Computer science (68-XX) 4 Biology and other natural sciences (92-XX) 3 Abstract harmonic analysis (43-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Probability theory and stochastic processes (60-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 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 120 Publications have been cited 1,683 times in 1,175 Documents Cited by ▼ Year ▼ Rankin-Selberg convolutions. Zbl 0525.22018Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 193 1983 Explicit constructions of automorphic \(L\)-functions. Zbl 0612.10022Gelbart, Stephen; Piatetski-Shapiro, Ilya I.; Rallis, Stephen 79 1987 A Torelli theorem for algebraic surfaces of type K3. Zbl 0253.14006Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 76 1972 Automorphic forms on \(GL(3)\). I, II. Zbl 0401.10037Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 63 1979 On the Saito-Kurokawa lifting. Zbl 0515.10024Piatetski-Shapiro, Ilya I. 62 1983 Rankin triple \(L\)-functions. Zbl 0637.10023Piatetski-Shapiro, Ilya I.; Rallis, Stephen 60 1987 Functoriality for the classical groups. Zbl 1090.22010Cogdell, J. W.; Kim, H. H.; Piatetski-Shapiro, I. I.; Shahidi, F. 53 2004 Conducteur des représentations du groupe linéaire. Zbl 0443.22013Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, J. 53 1981 Non-arithmetic groups in Lobachevsky spaces. Zbl 0649.22007Gromov, M.; Piatetski-Shapiro, Ilya I. 51 1988 Representation theory and automorphic function. Translated from the Russian by K. A. Hirsch. Zbl 0177.18003Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 48 1969 Generalized functions. Vol. 6. Representation theory and automorphic functions. Zbl 0138.07201Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 48 1966 On the distribution of the prime numbers in sequences of the form \([f(n)]\). Zbl 0053.02702Piatetski-Shapiro, Ilya I. 45 1953 Der Satz von Torelli für algebraische Flächen vom Typ K3. Zbl 0219.14021Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 42 1971 Distinguished representations and modular forms of half-integral weight. Zbl 0426.10027Gelbart, Stephen; Piatetski-Shapiro, Ilya I. 34 1980 Some examples of automorphic forms on Sp4. Zbl 0529.22012Howe, Roger; Piatetski-Shapiro, Ilya I. 32 1983 Converse theorems for \(\text{GL}_n\). Zbl 0814.11033Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 31 1994 \(L\) functions for the orthogonal group. Zbl 0884.11022Ginzburg, D.; Piatetski-Shapiro, Ilya I.; Rallis, S. 27 1997 Complex representations of \(\text{GL}(2,K)\) for finite fields \(K\). Zbl 0513.20026Piatetski-Shapiro, Ilya I. 27 1983 Automorphic functions and the geometry of classical domains. Translated from the Russian. Zbl 0196.09901Piatetski-Shapiro, Ilya I. 27 1969 Multiplicity one theorems. Zbl 0423.22017Piatetski-Shapiro, Ilya I. 26 1979 On lifting from classical groups to \(\text{GL}_N\). Zbl 1028.11029Cogdell, J. W.; Kim, H. H.; Piatetski-Shapiro, I. I.; Shahidi, F. 25 2001 \(\varepsilon\) factor of representations of classical groups. Zbl 0599.12012Piatetski-Shapiro, Ilya I.; Rallis, Stephen 25 1986 A new way to get Euler products. Zbl 0651.10021Piatetski-Shapiro, Ilya I.; Rallis, S. 24 1988 Classification and canonical realization of complex bounded homogeneous domains. Zbl 0137.05603Vinberg, È. B.; Piatetski-Shapiro, Ilya I. 24 1963 The arithmetic and spectral analysis of Poincaré series. (Notes prepared by Ze’ev Rudnick). Zbl 0714.11032Cogdell, James W.; Piatetski-Shapiro, Ilya I. 20 1990 Euler subgroups. Zbl 0329.20028Piatetski-Shapiro, Ilya I. 19 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 1339.01004Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 18 2016 Converse theorems for \(\text{GL}_n\). II. Zbl 0912.11022Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 18 1999 On Shimura’s correspondence for modular forms of half-integral weight. Zbl 0495.10020Gelbart, Stephen; Piatetski-Shapiro, Ilya I. 18 1981 A counterexample to the ”generalized Ramanujan conjecture” for (quasi-) split groups. Zbl 0423.22018Howe, Roger; Piatetski-Shapiro, Ilya I. 18 1979 Representation theory and automorphic functions. Transl. from the Russian by K.A. Hirsch. Reprint. Zbl 0718.11022Gel’fand, I. M.; Graev, M. I.; Piatetski-Shapiro, Ilya I. 17 1990 On a variant of the Waring-Goldbach problem. Zbl 0047.28001Piatetski-Shapiro, Ilya I. 17 1952 Functoriality for the quasisplit classical groups. Zbl 1235.22025Cogdell, J. W.; Piatetski-Shapiro, I. I.; Shahidi, F. 15 2011 Remarks on Rankin-Selberg convolutions. Zbl 1080.11038Cogdell, James W.; Piatetski-Shapiro, Ilya I. 15 2004 Relevement cubique non normal. Zbl 0475.12017Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 14 1981 Poincaré series for \(SO(n,1)\). Zbl 0743.11028Cogdell, J.; Li, J.-S.; Piatetski-Shapiro, Ilya I.; Sarnak, P. 12 1991 The symmetric-square L-function attached to a cuspidal automorphic representation of \(GL_ 3\). Zbl 0645.22007Patterson, S. J.; Piatetski-Shapiro, Ilya I. 12 1989 Automorphic forms and L-functions for the unitary group. Zbl 0531.10034Gelbart, Stephen; Piatetski-Shapiro, Ilya I. 12 1984 Uniqueness and existence of Whittaker models for the metaplectic group. Zbl 0441.22015Gelbart, Stephen; Howe, Roger; Piatetski-Shapiro, Ilya I. 12 1979 \(L\)-functions for GS\(p_4\). Zbl 1001.11020Piatetski-Shapiro, I. I. 11 1998 Some remarks on metaplectic cusp forms and the correspondences of Shimura and Waldspurger. Zbl 0526.10026Gelbart, Stephen; Piatetski-Shapiro, Ilya I. 10 1983 \(L\)-functions of automorphic forms on simple classical groups. Zbl 0566.10022Piatetski-Shapiro, Ilya I.; Rallis, Stephen 9 1984 Géométrie des domaines classiques et théorie des fonctions automorphes. Traduit par A.W. Golovanoff. Zbl 0142.05101Piatetski-Shapiro, Ilya I. 9 1966 On the laws of distribution of the fractional parts of an exponential function. Zbl 0042.04902Piatetski-Shapiro, Ilya I. 9 1951 Stability of gamma factors for \(SO(2n+1)\). Zbl 0959.22011Cogdell, J. W.; Piatetski-Shapiro, I. I. 8 1998 On a correspondence of automorphic forms on orthogonal groups of order five. Zbl 0644.22009Piatetski-Shapiro, Ilya I.; Soudry, David 8 1987 On homogeneous networks of spontaneous activ elements. Zbl 0191.31102Stavskaya, O. N.; Pyatetskij-Shapiro, I. I. 8 1968 Homogeneous Kähler manifolds. Zbl 0183.35401Gindikin, S. G.; Pyatetskij-Shapiro, I. I.; Vinberg, E. B. 8 1968 Stability of \(\gamma\)-factors for quasi-split groups. Zbl 1175.11024Cogdell, J. W.; Piatetski-Shapiro, I. I.; Shahidi, F. 7 2008 Partial Bessel functions for quasi-split groups. Zbl 1101.22011Cogdell, J. W.; Piatetski-Shapiro, I. I.; Shahidi, F. 7 2005 Work of Waldspurger. Zbl 0539.22017Piatetski-Shapiro, Ilya I. 7 1984 Base change for the Saito-Kurokawa representations of PGSp(4). Zbl 0652.10022Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 6 1988 Poincaré series for \(\mathrm{SO}(n,1)\). Zbl 0659.10028Li, Jian-Shu; Piatetski-Shapiro, Ilya I.; Sarnak, P. 6 1987 A cubic analogue of the cuspidal theta representations. Zbl 0563.10022Patterson, S. J.; Piatetski-Shapiro, Ilya I. 6 1984 On a problem proposed by É. Cartan. Zbl 0089.06201Piatetski-Shapiro, Ilya I. 6 1959 Derivatives and \(L\)-functions for \(\mathrm{GL}_n\). Zbl 1433.11054Cogdell, J. W.; Piatetski-Shapiro, I. I. 5 2017 Quadratic base change of \(\theta_{10}\). Zbl 0973.22012Kim, Ju-Lee; Piatetski-Shapiro, Ilya I. 5 2001 A converse theorem for \(GL_ 4\). Zbl 0864.22009Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 5 1996 L and epsilon factors for \(GSp(4)\). Zbl 0499.22020Piatetski-Shapiro, Ilya I.; Soudry, David 5 1981 Generalized Bessel models for a symplectic group of rank 2. Zbl 0281.22019Novodvorskij, M. E.; Pyatetskij-Shapiro, I. I. 5 1974 Interrelations between the Tate and Hodge conjectures for Abelian varieties. Zbl 0229.14014Pyatetskij-Shapiro, I. I. 5 1971 Homogeneous games for automata and their computer simulation. Zbl 0141.33904Bryzgalov, V. I.; Gel’fand, I. M.; Pyatetskij-Shapiro, I. I.; Tsetlin, M. L. 5 1965 Converse theorems, functoriality, and applications to number theory. Zbl 1146.11312Cogdell, J. W.; Piatetski-Shapiro, I. I. 3 2002 Rankin-Selberg integrals for the group \(G_ 2\). Zbl 0777.11017Piatetski-Shapiro, Ilya I.; Rallis, S.; Schiffmann, G. 3 1992 A remark on my paper ”On the Saito-Kurokawa lifting”. Zbl 0559.10021Piatetski-Shapiro, Ilya I. 3 1984 Special automorphic forms on \(PGSp_ 4\). Zbl 0566.10021Piatetski-Shapiro, Ilya I. 3 1983 Cuspidal automorphic representations associated to parabolic subgroups and Ramanujan conjecture. Zbl 0505.12017Piatetski-Shapiro, Ilya I. 3 1982 Facteurs L et epsilon du groupe linéaire: théorie archimedienne. Zbl 0478.22006Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 3 1981 Tate theory for reductive groups and distinguished representations. Zbl 0443.12003Piatetski-Shapiro, Ilya I. 3 1980 Classical and adelic automorphic forms. An introduction. Zbl 0423.10017Piatetski-Shapiro, Ilya I. 3 1979 Automorphic L-functions of half-integral weight. Zbl 0379.10017Gelbart, Stephen S.; Piatetski-Shapiro, Ilya I. 3 1978 zeta-functions of modular curves. Zbl 0308.14004Piatetski-Shapiro, Ilya I. 3 1973 On a controlable branching process. Zbl 0259.60036Levina, L. V.; Leontovich, A. M.; Pyatetskij-Shapiro, I. I. 3 1968 The geometry and classification of bounded homogeneous domains. Zbl 0142.05002Pyatetskij-Shapiro, I. I. 3 1965 Automorphic functions and representation theory. Zbl 0136.07301Gel’fand, I. M.; Pyatetskij-Shapiro, I. I. 3 1963 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 0119.27101Gel’fand, I. M.; Piatetski-Shapiro, Ilya I. 3 1962 The structure of \(j\)-algebras. Zbl 0109.05601Piatetski-Shapiro, Ilya I. 3 1962 On bounded homogeneous domains in \(n\)-dimensional complex space. Zbl 0105.06302Piatetski-Shapiro, Ilya I. 3 1962 Geometry of classical domains and the theory of discrete groups. Zbl 0137.27502Piatetski-Shapiro, Ilya I. 3 1961 Normal Bernoulli sequences of symbols. Zbl 0078.31102Postnikov, A. G.; Piatetski-Shapiro, Ilya I. 3 1957 Converse theorems for GL\(_n\) and their application to liftings. Zbl 1039.11030Cogdell, J. W.; Piatetski-Shapiro, I. I. 2 2001 On Hamburger’s theorem. Zbl 0843.11041Piatetski-Shapiro, Ilya I.; Raghunathan, Ravi 2 1995 Unitarity and functoriality. Zbl 0842.11021Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 2 1995 L functions for the group \(G_ 2\). Zbl 0734.11034Piatetski-Shapiro, Ilya I.; Rallis, S.; Schiffmann, G. 2 1990 The meromorphic continuation of Kloosterman-Selberg zeta functions. Zbl 0694.10039Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 2 1990 Base change for \(SL_ 2^{\sim}\). Zbl 0632.10031Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 2 1987 \(L\) and \(\epsilon\) functions for \(GSp(4)\times GL(2)\). Zbl 0541.22012Piatetski-Shapiro, Ilya I.; Soudry, David 2 1984 Conducteur des représentations generiques du groupe linéaire. Zbl 0475.22012Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 2 1981 Facteurs L et \(\varepsilon\) du groupe linéaire. Zbl 0448.10022Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 2 1979 Interrelations between the Tate and Hodge conjectures for Abelian varieties. Zbl 0239.14019Pyatetskij-Shapiro, I. I. 2 1972 Model of voting with random error. Zbl 0205.17803Vasil’ev, N. B.; Petrovskaya, M. B.; Pyatetskij-Shapiro, I. I. 2 1969 Bounded homogeneous domains in \(n\)-dimensional complex space. Zbl 0154.08401Pyatetskij-Shapiro, I. I. 2 1964 Theory of representations and theory of automorphic functions. Zbl 0138.31901Gel’fand, I. M.; Pyatetskij-Shapiro, I. I. 2 1963 Classification of bounded homogeneous domains in \(n\)-dimensional complex space. Zbl 0121.06801Pyatetskij-Shapiro, I. I. 2 1961 On a Poincaré theorem. Zbl 0107.17101Gel’fand, I. M.; Piatetski-Shapiro, Ilya I. 2 1959 Normal Markov sequences of symbols and normal continued fractions. Zbl 0084.13601Postnikov, A. G.; Piatetski-Shapiro, Ilya I. 2 1958 On a generalization of the concept of uniform distribution of fractional parts. Zbl 0046.04901Piatetski-Shapiro, Ilya I. 2 1952 On partial Poincaré series. Zbl 1187.11019Cogdell, J. W.; Piatetski-Shapiro, I. I. 1 2009 On the uniqueness of Fourier Jacobi models for representations of \(U(2,1)\). Zbl 1036.22006Baruch, Ehud Moshe; Piatetski-Shapiro, Ilya; Rallis, Stephen 1 2003 Selected works of Ilya Piatetski-Shapiro. Edited by James Cogdell, Simon Gindikin and Peter Sarnak. Zbl 0958.01046Piatetski-Shapiro, Ilya 1 2000 Derivatives and \(L\)-functions for \(\mathrm{GL}_n\). Zbl 1433.11054Cogdell, J. W.; Piatetski-Shapiro, I. I. 5 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 1339.01004Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 18 2016 Functoriality for the quasisplit classical groups. Zbl 1235.22025Cogdell, J. W.; Piatetski-Shapiro, I. I.; Shahidi, F. 15 2011 On partial Poincaré series. Zbl 1187.11019Cogdell, J. W.; Piatetski-Shapiro, I. I. 1 2009 Stability of \(\gamma\)-factors for quasi-split groups. Zbl 1175.11024Cogdell, J. W.; Piatetski-Shapiro, I. I.; Shahidi, F. 7 2008 Partial Bessel functions for quasi-split groups. Zbl 1101.22011Cogdell, J. W.; Piatetski-Shapiro, I. I.; Shahidi, F. 7 2005 Functoriality for the classical groups. Zbl 1090.22010Cogdell, J. W.; Kim, H. H.; Piatetski-Shapiro, I. I.; Shahidi, F. 53 2004 Remarks on Rankin-Selberg convolutions. Zbl 1080.11038Cogdell, James W.; Piatetski-Shapiro, Ilya I. 15 2004 On the uniqueness of Fourier Jacobi models for representations of \(U(2,1)\). Zbl 1036.22006Baruch, Ehud Moshe; Piatetski-Shapiro, Ilya; Rallis, Stephen 1 2003 Converse theorems, functoriality, and applications to number theory. Zbl 1146.11312Cogdell, J. W.; Piatetski-Shapiro, I. I. 3 2002 On lifting from classical groups to \(\text{GL}_N\). Zbl 1028.11029Cogdell, J. W.; Kim, H. H.; Piatetski-Shapiro, I. I.; Shahidi, F. 25 2001 Quadratic base change of \(\theta_{10}\). Zbl 0973.22012Kim, Ju-Lee; Piatetski-Shapiro, Ilya I. 5 2001 Converse theorems for GL\(_n\) and their application to liftings. Zbl 1039.11030Cogdell, J. W.; Piatetski-Shapiro, I. I. 2 2001 Selected works of Ilya Piatetski-Shapiro. Edited by James Cogdell, Simon Gindikin and Peter Sarnak. Zbl 0958.01046Piatetski-Shapiro, Ilya 1 2000 Converse theorems for \(\text{GL}_n\). II. Zbl 0912.11022Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 18 1999 \(L\)-functions for GS\(p_4\). Zbl 1001.11020Piatetski-Shapiro, I. I. 11 1998 Stability of gamma factors for \(SO(2n+1)\). Zbl 0959.22011Cogdell, J. W.; Piatetski-Shapiro, I. I. 8 1998 \(L\) functions for the orthogonal group. Zbl 0884.11022Ginzburg, D.; Piatetski-Shapiro, Ilya I.; Rallis, S. 27 1997 A converse theorem for \(GL_ 4\). Zbl 0864.22009Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 5 1996 On Hamburger’s theorem. Zbl 0843.11041Piatetski-Shapiro, Ilya I.; Raghunathan, Ravi 2 1995 Unitarity and functoriality. Zbl 0842.11021Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 2 1995 On base change for odd orthogonal groups. Zbl 0849.11043Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 1 1995 Converse theorems for \(\text{GL}_n\). Zbl 0814.11033Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 31 1994 Rankin-Selberg integrals for the group \(G_ 2\). Zbl 0777.11017Piatetski-Shapiro, Ilya I.; Rallis, S.; Schiffmann, G. 3 1992 Poincaré series for \(SO(n,1)\). Zbl 0743.11028Cogdell, J.; Li, J.-S.; Piatetski-Shapiro, Ilya I.; Sarnak, P. 12 1991 The arithmetic and spectral analysis of Poincaré series. (Notes prepared by Ze’ev Rudnick). Zbl 0714.11032Cogdell, James W.; Piatetski-Shapiro, Ilya I. 20 1990 Representation theory and automorphic functions. Transl. from the Russian by K.A. Hirsch. Reprint. Zbl 0718.11022Gel’fand, I. M.; Graev, M. I.; Piatetski-Shapiro, Ilya I. 17 1990 L functions for the group \(G_ 2\). Zbl 0734.11034Piatetski-Shapiro, Ilya I.; Rallis, S.; Schiffmann, G. 2 1990 The meromorphic continuation of Kloosterman-Selberg zeta functions. Zbl 0694.10039Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 2 1990 The symmetric-square L-function attached to a cuspidal automorphic representation of \(GL_ 3\). Zbl 0645.22007Patterson, S. J.; Piatetski-Shapiro, Ilya I. 12 1989 Special representations of rank one orthogonal groups. Zbl 0687.10020Piatetski-Shapiro, Ilya I.; Soudry, David 1 1989 Non-arithmetic groups in Lobachevsky spaces. Zbl 0649.22007Gromov, M.; Piatetski-Shapiro, Ilya I. 51 1988 A new way to get Euler products. Zbl 0651.10021Piatetski-Shapiro, Ilya I.; Rallis, S. 24 1988 Base change for the Saito-Kurokawa representations of PGSp(4). Zbl 0652.10022Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 6 1988 Explicit constructions of automorphic \(L\)-functions. Zbl 0612.10022Gelbart, Stephen; Piatetski-Shapiro, Ilya I.; Rallis, Stephen 79 1987 Rankin triple \(L\)-functions. Zbl 0637.10023Piatetski-Shapiro, Ilya I.; Rallis, Stephen 60 1987 On a correspondence of automorphic forms on orthogonal groups of order five. Zbl 0644.22009Piatetski-Shapiro, Ilya I.; Soudry, David 8 1987 Poincaré series for \(\mathrm{SO}(n,1)\). Zbl 0659.10028Li, Jian-Shu; Piatetski-Shapiro, Ilya I.; Sarnak, P. 6 1987 Base change for \(SL_ 2^{\sim}\). Zbl 0632.10031Cogdell, J. W.; Piatetski-Shapiro, Ilya I. 2 1987 Invariant theory and Kloosterman sums. Zbl 0631.10016Piatetski-Shapiro, Ilya I. 1 1987 \(\varepsilon\) factor of representations of classical groups. Zbl 0599.12012Piatetski-Shapiro, Ilya I.; Rallis, Stephen 25 1986 Automorphic forms and L-functions for the unitary group. Zbl 0531.10034Gelbart, Stephen; Piatetski-Shapiro, Ilya I. 12 1984 \(L\)-functions of automorphic forms on simple classical groups. Zbl 0566.10022Piatetski-Shapiro, Ilya I.; Rallis, Stephen 9 1984 Work of Waldspurger. Zbl 0539.22017Piatetski-Shapiro, Ilya I. 7 1984 A cubic analogue of the cuspidal theta representations. Zbl 0563.10022Patterson, S. J.; Piatetski-Shapiro, Ilya I. 6 1984 A remark on my paper ”On the Saito-Kurokawa lifting”. Zbl 0559.10021Piatetski-Shapiro, Ilya I. 3 1984 \(L\) and \(\epsilon\) functions for \(GSp(4)\times GL(2)\). Zbl 0541.22012Piatetski-Shapiro, Ilya I.; Soudry, David 2 1984 Rankin-Selberg convolutions. Zbl 0525.22018Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 193 1983 On the Saito-Kurokawa lifting. Zbl 0515.10024Piatetski-Shapiro, Ilya I. 62 1983 Some examples of automorphic forms on Sp4. Zbl 0529.22012Howe, Roger; Piatetski-Shapiro, Ilya I. 32 1983 Complex representations of \(\text{GL}(2,K)\) for finite fields \(K\). Zbl 0513.20026Piatetski-Shapiro, Ilya I. 27 1983 Some remarks on metaplectic cusp forms and the correspondences of Shimura and Waldspurger. Zbl 0526.10026Gelbart, Stephen; Piatetski-Shapiro, Ilya I. 10 1983 Special automorphic forms on \(PGSp_ 4\). Zbl 0566.10021Piatetski-Shapiro, Ilya I. 3 1983 Cuspidal automorphic representations associated to parabolic subgroups and Ramanujan conjecture. Zbl 0505.12017Piatetski-Shapiro, Ilya I. 3 1982 Conducteur des représentations du groupe linéaire. Zbl 0443.22013Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, J. 53 1981 On Shimura’s correspondence for modular forms of half-integral weight. Zbl 0495.10020Gelbart, Stephen; Piatetski-Shapiro, Ilya I. 18 1981 Relevement cubique non normal. Zbl 0475.12017Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 14 1981 L and epsilon factors for \(GSp(4)\). Zbl 0499.22020Piatetski-Shapiro, Ilya I.; Soudry, David 5 1981 Facteurs L et epsilon du groupe linéaire: théorie archimedienne. Zbl 0478.22006Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 3 1981 Conducteur des représentations generiques du groupe linéaire. Zbl 0475.22012Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 2 1981 Distinguished representations and modular forms of half-integral weight. Zbl 0426.10027Gelbart, Stephen; Piatetski-Shapiro, Ilya I. 34 1980 Tate theory for reductive groups and distinguished representations. Zbl 0443.12003Piatetski-Shapiro, Ilya I. 3 1980 Automorphic forms on \(GL(3)\). I, II. Zbl 0401.10037Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 63 1979 Multiplicity one theorems. Zbl 0423.22017Piatetski-Shapiro, Ilya I. 26 1979 A counterexample to the ”generalized Ramanujan conjecture” for (quasi-) split groups. Zbl 0423.22018Howe, Roger; Piatetski-Shapiro, Ilya I. 18 1979 Uniqueness and existence of Whittaker models for the metaplectic group. Zbl 0441.22015Gelbart, Stephen; Howe, Roger; Piatetski-Shapiro, Ilya I. 12 1979 Classical and adelic automorphic forms. An introduction. Zbl 0423.10017Piatetski-Shapiro, Ilya I. 3 1979 Facteurs L et \(\varepsilon\) du groupe linéaire. Zbl 0448.10022Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 2 1979 Automorphic L-functions of half-integral weight. Zbl 0379.10017Gelbart, Stephen S.; Piatetski-Shapiro, Ilya I. 3 1978 Construction de formes automorphes pour le groupe GL(3). Zbl 0356.12017Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph 1 1976 Euler subgroups. Zbl 0329.20028Piatetski-Shapiro, Ilya I. 19 1975 On the Weil-Jacquet-Langlands theorem. Zbl 0329.22014Piatetski-Shapiro, Ilya I. 1 1975 Generalized Bessel models for a symplectic group of rank 2. Zbl 0281.22019Novodvorskij, M. E.; Pyatetskij-Shapiro, I. I. 5 1974 zeta-functions of modular curves. Zbl 0308.14004Piatetski-Shapiro, Ilya I. 3 1973 Arithmetic of \(K3\) surfaces. Zbl 0293.14010Piatetski-Shapiro, Ilya I.; Shafarevich, I. R. 1 1973 Verallgemeinerte Besselsche Modelle für eine symplektische Gruppe vom Rang 2. Zbl 0272.22013Novodvorskij, M. E.; Pyatetskij-Shapiro, I. I. 1 1973 A Torelli theorem for algebraic surfaces of type K3. Zbl 0253.14006Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 76 1972 Interrelations between the Tate and Hodge conjectures for Abelian varieties. Zbl 0239.14019Pyatetskij-Shapiro, I. I. 2 1972 Der Satz von Torelli für algebraische Flächen vom Typ K3. Zbl 0219.14021Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 42 1971 Interrelations between the Tate and Hodge conjectures for Abelian varieties. Zbl 0229.14014Pyatetskij-Shapiro, I. I. 5 1971 On the classification of one-dimensional homogeneous networks. Zbl 0306.94030Vasil’ev, N. B.; Piatetski-Shapiro, Ilya I. 1 1971 Some mathematical problems connected with morphogenesis. Zbl 0213.21902Leontovich, 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 0177.18003Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 48 1969 Automorphic functions and the geometry of classical domains. Translated from the Russian. Zbl 0196.09901Piatetski-Shapiro, Ilya I. 27 1969 Model of voting with random error. Zbl 0205.17803Vasil’ev, N. B.; Petrovskaya, M. B.; Pyatetskij-Shapiro, I. I. 2 1969 Certain homogeneous neuron nets. Zbl 0205.49501Pyatetskij-Shapiro, I. I.; Stavskaya, O. N.; Toom, A. L. 1 1969 On homogeneous networks of spontaneous activ elements. Zbl 0191.31102Stavskaya, O. N.; Pyatetskij-Shapiro, I. I. 8 1968 Homogeneous Kähler manifolds. Zbl 0183.35401Gindikin, S. G.; Pyatetskij-Shapiro, I. I.; Vinberg, E. B. 8 1968 On a controlable branching process. Zbl 0259.60036Levina, L. V.; Leontovich, A. M.; Pyatetskij-Shapiro, I. I. 3 1968 Discrete subgroups of Lie groups. Zbl 0203.32907Pyatetskij-Shapiro, I. I. 1 1968 On reduction modulo a prime of field of modular functions. Zbl 0179.12401Pyatetskij-Shapiro, I. I. 1 1968 Generalized functions. Vol. 6. Representation theory and automorphic functions. Zbl 0138.07201Gel’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 0142.05101Piatetski-Shapiro, Ilya I. 9 1966 Homogeneous games for automata and their computer simulation. Zbl 0141.33904Bryzgalov, V. I.; Gel’fand, I. M.; Pyatetskij-Shapiro, I. I.; Tsetlin, M. L. 5 1965 The geometry and classification of bounded homogeneous domains. Zbl 0142.05002Pyatetskij-Shapiro, I. I. 3 1965 Bounded homogeneous domains in \(n\)-dimensional complex space. Zbl 0154.08401Pyatetskij-Shapiro, I. I. 2 1964 The main trends of algebraic topology and algebraic geometry. Zbl 0168.43903Novikov, S. P.; Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 1 1964 Arithmetic groups in complex domains. Zbl 0138.31804Pyatetskij-Shapiro, I. I. 1 1964 Classification and canonical realization of complex bounded homogeneous domains. Zbl 0137.05603Vinberg, È. B.; Piatetski-Shapiro, Ilya I. 24 1963 Automorphic functions and representation theory. Zbl 0136.07301Gel’fand, I. M.; Pyatetskij-Shapiro, I. I. 3 1963 ...and 20 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,010 Authors 27 Ginzburg, David 22 Rallis, Stephen James 22 Soudry, David 21 Jiang, Dihua 18 Piatetski-Shapiro, Ilya 16 Henniart, Guy M. 11 Gelbart, Stephen S. 11 Liu, Baiying 11 Sarnak, Peter Clive 11 Shahidi, Freydoon 10 Bump, Daniel 10 Friedberg, Solomon 10 Kaplan, Eyal 10 Kondō, Shigeyuki 10 Kudla, Stephen S. 10 Mao, Zhengyu 9 Li, Jian-Shu 9 Pitale, Ameya 9 Yamana, Shunsuke 8 Bushnell, Colin J. 8 Flicker, Yuval Z. 8 Gan, Wee Teck 8 Ichino, Atsushi 8 Jacquet, Hervé Michel 8 Kim, Henry H. 8 Matringe, Nadir 8 Prasad, Dipendra 8 Schmidt, Ralf 8 Stade, Eric 7 Baruch, Ehud Moshe 7 Brown, Jim L. 7 Cogdell, James W. 7 Harris, Michael Howard 7 Khrennikov, Andreĭ Yur’evich 7 Lapid, Erez Moshe 7 Ye, Yangbo 6 Gillespie, Timothy L. 6 Hoffstein, Jeffrey 6 Li, Jinjiang 6 Lubotzky, Alexander 6 Nikulin, Vyacheslav Valentinovich 6 Saha, Abhishek 6 Watanabe, Takao 5 Akbal, Yıldırım 5 Carlson, James A. 5 Dragovich, Branko 5 Grbac, Neven 5 Ji, Lizhen 5 Kazhdan, David A. 5 Miller, Stephen D. 5 Moeglin, Colette 5 Murase, Atsushi 5 Reznikov, Andre 5 Savin, Gordan 5 Schulze-Pillot, Rainer 5 Schwermer, Joachim 5 Shelkovich, Vladimir M. 5 Zhang, Min 4 Adrian, Moshe 4 Azukawa, Kazuo 4 Blomer, Valentin 4 Bouganis, Thanasis 4 Buttcane, Jack 4 Cai, Yingchun 4 Chen, Shih-Yu 4 Dolgachev, Igor’ Vladimirovich 4 Grobner, Harald 4 Gross, Benedict Hyman 4 Horikawa, Eiji 4 Hulek, Klaus 4 Ikeda, Tamotsu 4 Ishi, Hideyuki 4 Lanphier, Dominic 4 Liu, Yifeng 4 Lomelí, Luis Alberto 4 Miyauchi, Michitaka 4 Nien, Chufeng 4 Panchishkin, Alexei A. 4 Patterson, Samuel James 4 Qi, Zhi 4 Ramakrishnan, Dinakar 4 Schiffmann, Gérard 4 Schmidt, Claus-Günther 4 Shimura, Goro 4 Sugano, Takashi 4 Sun, Binyong 4 Szpruch, Dani 4 Takeda, Shuichiro 4 Taki, Shingo 4 Takloo-Bighash, Ramin 4 Ürtiş, Çetin 4 Vershik, Anatoliĭ Moiseevich 4 Virdol, Cristian 4 Weber, Andreas 4 Wong, Peng-Jie 4 Zorn, Christian A. 3 Albeverio, Sergio A. 3 Banks, William D. 3 Bergeron, Nicolas 3 Böcherer, Siegfried ...and 910 more Authors all top 5 Cited in 191 Serials 97 Journal of Number Theory 55 Duke Mathematical Journal 53 Inventiones Mathematicae 51 Compositio Mathematica 48 Israel Journal of Mathematics 45 Mathematische Annalen 36 Transactions of the American Mathematical Society 27 Manuscripta Mathematica 24 Mathematische Zeitschrift 24 International Journal of Number Theory 23 Journal of Functional Analysis 21 Bulletin of the American Mathematical Society. New Series 19 Annales de l’Institut Fourier 18 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 18 Journal of Algebra 18 Proceedings of the American Mathematical Society 18 Tohoku Mathematical Journal. Second Series 16 Journal of Mathematical Sciences (New York) 15 Advances in Mathematics 15 Journal of the American Mathematical Society 14 Geometriae Dedicata 14 Proceedings of the Japan Academy. Series A 13 Functional Analysis and its Applications 13 Journal für die Reine und Angewandte Mathematik 13 Forum Mathematicum 12 Monatshefte für Mathematik 11 Rocky Mountain Journal of Mathematics 11 Science China. Mathematics 10 Nagoya Mathematical Journal 10 Journal de Théorie des Nombres de Bordeaux 10 Journal of the Institute of Mathematics of Jussieu 9 Journal of Soviet Mathematics 9 Geometric and Functional Analysis. GAFA 9 The Ramanujan Journal 8 Research in Number Theory 7 Mathematical Notes 7 Bulletin de la Société Mathématique de France 7 Publications Mathématiques 7 Memoirs of the American Mathematical Society 7 Indagationes Mathematicae. New Series 7 Annals of Mathematics. Second Series 7 Proceedings of the Steklov Institute of Mathematics 6 Journal of Mathematical Analysis and Applications 6 Theoretical and Mathematical Physics 6 Acta Arithmetica 6 Acta Mathematica 6 Siberian Mathematical Journal 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Representation Theory 6 Proceedings of the Japan Academy 5 Journal of Geometry and Physics 5 Journal of the Mathematical Society of Japan 5 Journal of Pure and Applied Algebra 5 Chinese Annals of Mathematics. Series B 5 Science in China. Series A 5 Differential Geometry and its Applications 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Izvestiya: Mathematics 5 Algebraic & Geometric Topology 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Linear Algebra and its Applications 4 Finite Fields and their Applications 4 Selecta Mathematica. New Series 4 Documenta Mathematica 4 Acta Mathematica Sinica. English Series 4 Algebra & Number Theory 4 Research in the Mathematical Sciences 3 Communications in Mathematical Physics 3 Journal of Statistical Physics 3 Lithuanian Mathematical Journal 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Journal of Computer and System Sciences 3 Pacific Journal of Mathematics 3 The Journal of Geometric Analysis 3 The Journal of Fourier Analysis and Applications 3 Mathematical Problems in Engineering 3 Japanese Journal of Mathematics. 3rd Series 3 Kyoto Journal of Mathematics 3 Annales Mathématiques du Québec 2 Communications in Algebra 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Biosciences 2 Nuclear Physics. B 2 Archiv der Mathematik 2 Canadian Journal of Mathematics 2 International Journal of Mathematics and Mathematical Sciences 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Theoretical Computer Science 2 Topology and its Applications 2 Acta Mathematica Hungarica 2 Annals of Global Analysis and Geometry 2 Physica D 2 Journal of Symbolic Computation 2 Revista Matemática Iberoamericana 2 Mathematical and Computer Modelling 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Cybernetics and Systems Analysis 2 Experimental Mathematics 2 Journal of Algebraic Geometry ...and 91 more Serials all top 5 Cited in 51 Fields 788 Number theory (11-XX) 432 Topological groups, Lie groups (22-XX) 163 Algebraic geometry (14-XX) 93 Group theory and generalizations (20-XX) 86 Several complex variables and analytic spaces (32-XX) 47 Differential geometry (53-XX) 38 Abstract harmonic analysis (43-XX) 30 Global analysis, analysis on manifolds (58-XX) 28 Manifolds and cell complexes (57-XX) 25 Quantum theory (81-XX) 22 Nonassociative rings and algebras (17-XX) 21 Partial differential equations (35-XX) 19 Dynamical systems and ergodic theory (37-XX) 18 Functions of a complex variable (30-XX) 18 Operator theory (47-XX) 17 Functional analysis (46-XX) 15 Probability theory and stochastic processes (60-XX) 14 Combinatorics (05-XX) 14 Special functions (33-XX) 13 Geometry (51-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Computer science (68-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Field theory and polynomials (12-XX) 6 Associative rings and algebras (16-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Real functions (26-XX) 4 Convex and discrete geometry (52-XX) 4 General topology (54-XX) 4 Numerical analysis (65-XX) 4 Biology and other natural sciences (92-XX) 4 Systems theory; control (93-XX) 3 History and biography (01-XX) 3 Algebraic topology (55-XX) 3 Relativity and gravitational theory (83-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.