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Piatetski-Shapiro, Ilya

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Author ID: piatetski-shapiro.ilya-i Recent zbMATH articles by "Piatetski-Shapiro, Ilya"
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

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

Publications by Year

Citations contained in zbMATH Open

120 Publications have been cited 1,701 times in 1,190 Documents Cited by Year
Rankin-Selberg convolutions. Zbl 0525.22018
Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph
194
1983
Explicit constructions of automorphic \(L\)-functions. Zbl 0612.10022
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.; Rallis, Stephen
82
1987
A Torelli theorem for algebraic surfaces of type K3. Zbl 0253.14006
Pyatetskij-Shapiro, I. I.; Shafarevich, I. R.
76
1972
On the Saito-Kurokawa lifting. Zbl 0515.10024
Piatetski-Shapiro, Ilya I.
63
1983
Automorphic forms on \(GL(3)\). I, II. Zbl 0401.10037
Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph
63
1979
Rankin triple \(L\)-functions. Zbl 0637.10023
Piatetski-Shapiro, Ilya I.; Rallis, Stephen
61
1987
Conducteur des représentations du groupe linéaire. Zbl 0443.22013
Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, J.
54
1981
Functoriality for the classical groups. Zbl 1090.22010
Cogdell, J. W.; Kim, H. H.; Piatetski-Shapiro, I. I.; Shahidi, F.
53
2004
Non-arithmetic groups in Lobachevsky spaces. Zbl 0649.22007
Gromov, M.; Piatetski-Shapiro, Ilya I.
53
1988
Generalized functions. Vol. 6. Representation theory and automorphic functions. Zbl 0138.07201
Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I.
49
1966
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.
48
1969
On the distribution of the prime numbers in sequences of the form \([f(n)]\). Zbl 0053.02702
Piatetski-Shapiro, Ilya I.
46
1953
Der Satz von Torelli für algebraische Flächen vom Typ K3. Zbl 0219.14021
Pyatetskij-Shapiro, I. I.; Shafarevich, I. R.
43
1971
Distinguished representations and modular forms of half-integral weight. Zbl 0426.10027
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.
35
1980
Some examples of automorphic forms on Sp4. Zbl 0529.22012
Howe, Roger; Piatetski-Shapiro, Ilya I.
32
1983
Converse theorems for \(\text{GL}_n\). Zbl 0814.11033
Cogdell, J. W.; Piatetski-Shapiro, Ilya I.
31
1994
\(L\) functions for the orthogonal group. Zbl 0884.11022
Ginzburg, D.; Piatetski-Shapiro, Ilya I.; Rallis, S.
27
1997
Complex representations of \(\text{GL}(2,K)\) for finite fields \(K\). Zbl 0513.20026
Piatetski-Shapiro, Ilya I.
27
1983
Automorphic functions and the geometry of classical domains. Translated from the Russian. Zbl 0196.09901
Piatetski-Shapiro, Ilya I.
27
1969
On lifting from classical groups to \(\text{GL}_N\). Zbl 1028.11029
Cogdell, J. W.; Kim, H. H.; Piatetski-Shapiro, I. I.; Shahidi, F.
26
2001
Multiplicity one theorems. Zbl 0423.22017
Piatetski-Shapiro, Ilya I.
26
1979
\(\varepsilon\) factor of representations of classical groups. Zbl 0599.12012
Piatetski-Shapiro, Ilya I.; Rallis, Stephen
25
1986
A new way to get Euler products. Zbl 0651.10021
Piatetski-Shapiro, Ilya I.; Rallis, S.
24
1988
Classification and canonical realization of complex bounded homogeneous domains. Zbl 0137.05603
Vinberg, È. B.; Piatetski-Shapiro, Ilya I.
24
1963
The arithmetic and spectral analysis of Poincaré series. (Notes prepared by Ze’ev Rudnick). Zbl 0714.11032
Cogdell, James W.; Piatetski-Shapiro, Ilya I.
21
1990
Euler subgroups. Zbl 0329.20028
Piatetski-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 1339.01004
Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I.
18
2016
Converse theorems for \(\text{GL}_n\). II. Zbl 0912.11022
Cogdell, J. W.; Piatetski-Shapiro, Ilya I.
18
1999
On Shimura’s correspondence for modular forms of half-integral weight. Zbl 0495.10020
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.
18
1981
A counterexample to the ”generalized Ramanujan conjecture” for (quasi-) split groups. Zbl 0423.22018
Howe, Roger; Piatetski-Shapiro, Ilya I.
18
1979
On a variant of the Waring-Goldbach problem. Zbl 0047.28001
Piatetski-Shapiro, Ilya I.
18
1952
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.
17
1990
Functoriality for the quasisplit classical groups. Zbl 1235.22025
Cogdell, J. W.; Piatetski-Shapiro, I. I.; Shahidi, F.
15
2011
Remarks on Rankin-Selberg convolutions. Zbl 1080.11038
Cogdell, James W.; Piatetski-Shapiro, Ilya I.
15
2004
Relevement cubique non normal. Zbl 0475.12017
Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph
14
1981
Uniqueness and existence of Whittaker models for the metaplectic group. Zbl 0441.22015
Gelbart, Stephen; Howe, Roger; Piatetski-Shapiro, Ilya I.
13
1979
Poincaré series for \(SO(n,1)\). Zbl 0743.11028
Cogdell, 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 0645.22007
Patterson, S. J.; Piatetski-Shapiro, Ilya I.
12
1989
Automorphic forms and L-functions for the unitary group. Zbl 0531.10034
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.
12
1984
\(L\)-functions for GS\(p_4\). Zbl 1001.11020
Piatetski-Shapiro, I. I.
11
1998
Some remarks on metaplectic cusp forms and the correspondences of Shimura and Waldspurger. Zbl 0526.10026
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.
10
1983
\(L\)-functions of automorphic forms on simple classical groups. Zbl 0566.10022
Piatetski-Shapiro, Ilya I.; Rallis, Stephen
9
1984
Géométrie des domaines classiques et théorie des fonctions automorphes. Traduit par A.W. Golovanoff. Zbl 0142.05101
Piatetski-Shapiro, Ilya I.
9
1966
On the laws of distribution of the fractional parts of an exponential function. Zbl 0042.04902
Piatetski-Shapiro, Ilya I.
9
1951
Stability of gamma factors for \(SO(2n+1)\). Zbl 0959.22011
Cogdell, J. W.; Piatetski-Shapiro, I. I.
8
1998
On a correspondence of automorphic forms on orthogonal groups of order five. Zbl 0644.22009
Piatetski-Shapiro, Ilya I.; Soudry, David
8
1987
On homogeneous networks of spontaneous activ elements. Zbl 0191.31102
Stavskaya, O. N.; Pyatetskij-Shapiro, I. I.
8
1968
Homogeneous Kähler manifolds. Zbl 0183.35401
Gindikin, S. G.; Pyatetskij-Shapiro, I. I.; Vinberg, E. B.
8
1968
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.
7
2005
A cubic analogue of the cuspidal theta representations. Zbl 0563.10022
Patterson, S. J.; Piatetski-Shapiro, Ilya I.
7
1984
Work of Waldspurger. Zbl 0539.22017
Piatetski-Shapiro, Ilya I.
7
1984
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
On a problem proposed by É. Cartan. Zbl 0089.06201
Piatetski-Shapiro, Ilya I.
6
1959
Derivatives and \(L\)-functions for \(\mathrm{GL}_n\). Zbl 1433.11054
Cogdell, J. W.; Piatetski-Shapiro, I. I.
5
2017
Quadratic base change of \(\theta_{10}\). Zbl 0973.22012
Kim, Ju-Lee; Piatetski-Shapiro, Ilya I.
5
2001
A converse theorem for \(GL_ 4\). Zbl 0864.22009
Cogdell, J. W.; Piatetski-Shapiro, Ilya I.
5
1996
L and epsilon factors for \(GSp(4)\). Zbl 0499.22020
Piatetski-Shapiro, Ilya I.; Soudry, David
5
1981
Generalized Bessel models for a symplectic group of rank 2. Zbl 0281.22019
Novodvorskij, M. E.; Pyatetskij-Shapiro, I. I.
5
1974
Interrelations between the Tate and Hodge conjectures for Abelian varieties. Zbl 0229.14014
Pyatetskij-Shapiro, I. I.
5
1971
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
Converse theorems, functoriality, and applications to number theory. Zbl 1146.11312
Cogdell, J. W.; Piatetski-Shapiro, I. I.
3
2002
Rankin-Selberg integrals for the group \(G_ 2\). Zbl 0777.11017
Piatetski-Shapiro, Ilya I.; Rallis, S.; Schiffmann, G.
3
1992
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
Cuspidal automorphic representations associated to parabolic subgroups and Ramanujan conjecture. Zbl 0505.12017
Piatetski-Shapiro, Ilya I.
3
1982
Facteurs L et epsilon du groupe linéaire: théorie archimedienne. Zbl 0478.22006
Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph
3
1981
Tate theory for reductive groups and distinguished representations. Zbl 0443.12003
Piatetski-Shapiro, Ilya I.
3
1980
Classical and adelic automorphic forms. An introduction. Zbl 0423.10017
Piatetski-Shapiro, Ilya I.
3
1979
Automorphic L-functions of half-integral weight. Zbl 0379.10017
Gelbart, Stephen S.; Piatetski-Shapiro, Ilya I.
3
1978
zeta-functions of modular curves. Zbl 0308.14004
Piatetski-Shapiro, Ilya I.
3
1973
On a controlable branching process. Zbl 0259.60036
Levina, L. V.; Leontovich, A. M.; Pyatetskij-Shapiro, I. I.
3
1968
The geometry and classification of bounded homogeneous domains. Zbl 0142.05002
Pyatetskij-Shapiro, I. I.
3
1965
Automorphic functions and representation theory. Zbl 0136.07301
Gel’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 0119.27101
Gel’fand, I. M.; Piatetski-Shapiro, Ilya I.
3
1962
The structure of \(j\)-algebras. Zbl 0109.05601
Piatetski-Shapiro, Ilya I.
3
1962
On bounded homogeneous domains in \(n\)-dimensional complex space. Zbl 0105.06302
Piatetski-Shapiro, Ilya I.
3
1962
Geometry of classical domains and the theory of discrete groups. Zbl 0137.27502
Piatetski-Shapiro, Ilya I.
3
1961
Normal Bernoulli sequences of symbols. Zbl 0078.31102
Postnikov, A. G.; Piatetski-Shapiro, Ilya I.
3
1957
Converse theorems for GL\(_n\) and their application to liftings. Zbl 1039.11030
Cogdell, J. W.; Piatetski-Shapiro, I. I.
2
2001
On Hamburger’s theorem. Zbl 0843.11041
Piatetski-Shapiro, Ilya I.; Raghunathan, Ravi
2
1995
Unitarity and functoriality. Zbl 0842.11021
Cogdell, J. W.; Piatetski-Shapiro, Ilya I.
2
1995
L functions for the group \(G_ 2\). Zbl 0734.11034
Piatetski-Shapiro, Ilya I.; Rallis, S.; Schiffmann, G.
2
1990
The meromorphic continuation of Kloosterman-Selberg zeta functions. Zbl 0694.10039
Cogdell, J. W.; Piatetski-Shapiro, Ilya I.
2
1990
Base change for \(SL_ 2^{\sim}\). Zbl 0632.10031
Cogdell, J. W.; Piatetski-Shapiro, Ilya I.
2
1987
\(L\) and \(\epsilon\) functions for \(GSp(4)\times GL(2)\). Zbl 0541.22012
Piatetski-Shapiro, Ilya I.; Soudry, David
2
1984
Conducteur des représentations generiques du groupe linéaire. Zbl 0475.22012
Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph
2
1981
Facteurs L et \(\varepsilon\) du groupe linéaire. Zbl 0448.10022
Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph
2
1979
Interrelations between the Tate and Hodge conjectures for Abelian varieties. Zbl 0239.14019
Pyatetskij-Shapiro, I. I.
2
1972
Model of voting with random error. Zbl 0205.17803
Vasil’ev, N. B.; Petrovskaya, M. B.; Pyatetskij-Shapiro, I. I.
2
1969
Bounded homogeneous domains in \(n\)-dimensional complex space. Zbl 0154.08401
Pyatetskij-Shapiro, I. I.
2
1964
Theory of representations and theory of automorphic functions. Zbl 0138.31901
Gel’fand, I. M.; Pyatetskij-Shapiro, I. I.
2
1963
Classification of bounded homogeneous domains in \(n\)-dimensional complex space. Zbl 0121.06801
Pyatetskij-Shapiro, I. I.
2
1961
On a Poincaré theorem. Zbl 0107.17101
Gel’fand, I. M.; Piatetski-Shapiro, Ilya I.
2
1959
Normal Markov sequences of symbols and normal continued fractions. Zbl 0084.13601
Postnikov, A. G.; Piatetski-Shapiro, Ilya I.
2
1958
On a generalization of the concept of uniform distribution of fractional parts. Zbl 0046.04901
Piatetski-Shapiro, Ilya I.
2
1952
On partial Poincaré series. Zbl 1187.11019
Cogdell, J. W.; Piatetski-Shapiro, I. I.
1
2009
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
Selected works of Ilya Piatetski-Shapiro. Edited by James Cogdell, Simon Gindikin and Peter Sarnak. Zbl 0958.01046
Piatetski-Shapiro, Ilya
1
2000
Derivatives and \(L\)-functions for \(\mathrm{GL}_n\). Zbl 1433.11054
Cogdell, 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 1339.01004
Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I.
18
2016
Functoriality for the quasisplit classical groups. Zbl 1235.22025
Cogdell, J. W.; Piatetski-Shapiro, I. I.; Shahidi, F.
15
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.
7
2005
Functoriality for the classical groups. Zbl 1090.22010
Cogdell, J. W.; Kim, H. H.; Piatetski-Shapiro, I. I.; Shahidi, F.
53
2004
Remarks on Rankin-Selberg convolutions. Zbl 1080.11038
Cogdell, James W.; Piatetski-Shapiro, Ilya I.
15
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.
3
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.
26
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
1
2000
Converse theorems for \(\text{GL}_n\). II. Zbl 0912.11022
Cogdell, J. W.; Piatetski-Shapiro, Ilya I.
18
1999
\(L\)-functions for GS\(p_4\). Zbl 1001.11020
Piatetski-Shapiro, I. I.
11
1998
Stability of gamma factors for \(SO(2n+1)\). Zbl 0959.22011
Cogdell, J. W.; Piatetski-Shapiro, I. I.
8
1998
\(L\) functions for the orthogonal group. Zbl 0884.11022
Ginzburg, D.; Piatetski-Shapiro, Ilya I.; Rallis, S.
27
1997
A converse theorem for \(GL_ 4\). Zbl 0864.22009
Cogdell, J. W.; Piatetski-Shapiro, Ilya I.
5
1996
On Hamburger’s theorem. Zbl 0843.11041
Piatetski-Shapiro, Ilya I.; Raghunathan, Ravi
2
1995
Unitarity and functoriality. Zbl 0842.11021
Cogdell, J. W.; Piatetski-Shapiro, Ilya I.
2
1995
On base change for odd orthogonal groups. Zbl 0849.11043
Cogdell, J. W.; Piatetski-Shapiro, Ilya I.
1
1995
Converse theorems for \(\text{GL}_n\). Zbl 0814.11033
Cogdell, J. W.; Piatetski-Shapiro, Ilya I.
31
1994
Rankin-Selberg integrals for the group \(G_ 2\). Zbl 0777.11017
Piatetski-Shapiro, Ilya I.; Rallis, S.; Schiffmann, G.
3
1992
Poincaré series for \(SO(n,1)\). Zbl 0743.11028
Cogdell, 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 0714.11032
Cogdell, James W.; Piatetski-Shapiro, Ilya I.
21
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.
17
1990
L functions for the group \(G_ 2\). Zbl 0734.11034
Piatetski-Shapiro, Ilya I.; Rallis, S.; Schiffmann, G.
2
1990
The meromorphic continuation of Kloosterman-Selberg zeta functions. Zbl 0694.10039
Cogdell, J. W.; Piatetski-Shapiro, Ilya I.
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.
12
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.
53
1988
A new way to get Euler products. Zbl 0651.10021
Piatetski-Shapiro, Ilya I.; Rallis, S.
24
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
82
1987
Rankin triple \(L\)-functions. Zbl 0637.10023
Piatetski-Shapiro, Ilya I.; Rallis, Stephen
61
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
25
1986
Automorphic forms and L-functions for the unitary group. Zbl 0531.10034
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.
12
1984
\(L\)-functions of automorphic forms on simple classical groups. Zbl 0566.10022
Piatetski-Shapiro, Ilya I.; Rallis, Stephen
9
1984
A cubic analogue of the cuspidal theta representations. Zbl 0563.10022
Patterson, S. J.; Piatetski-Shapiro, Ilya I.
7
1984
Work of Waldspurger. Zbl 0539.22017
Piatetski-Shapiro, Ilya I.
7
1984
A remark on my paper ”On the Saito-Kurokawa lifting”. Zbl 0559.10021
Piatetski-Shapiro, Ilya I.
3
1984
\(L\) and \(\epsilon\) functions for \(GSp(4)\times GL(2)\). Zbl 0541.22012
Piatetski-Shapiro, Ilya I.; Soudry, David
2
1984
Rankin-Selberg convolutions. Zbl 0525.22018
Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph
194
1983
On the Saito-Kurokawa lifting. Zbl 0515.10024
Piatetski-Shapiro, Ilya I.
63
1983
Some examples of automorphic forms on Sp4. Zbl 0529.22012
Howe, Roger; Piatetski-Shapiro, Ilya I.
32
1983
Complex representations of \(\text{GL}(2,K)\) for finite fields \(K\). Zbl 0513.20026
Piatetski-Shapiro, Ilya I.
27
1983
Some remarks on metaplectic cusp forms and the correspondences of Shimura and Waldspurger. Zbl 0526.10026
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.
10
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.
54
1981
On Shimura’s correspondence for modular forms of half-integral weight. Zbl 0495.10020
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.
18
1981
Relevement cubique non normal. Zbl 0475.12017
Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph
14
1981
L and epsilon factors for \(GSp(4)\). Zbl 0499.22020
Piatetski-Shapiro, Ilya I.; Soudry, David
5
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.
35
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
63
1979
Multiplicity one theorems. Zbl 0423.22017
Piatetski-Shapiro, Ilya I.
26
1979
A counterexample to the ”generalized Ramanujan conjecture” for (quasi-) split groups. Zbl 0423.22018
Howe, Roger; Piatetski-Shapiro, Ilya I.
18
1979
Uniqueness and existence of Whittaker models for the metaplectic group. Zbl 0441.22015
Gelbart, Stephen; Howe, Roger; Piatetski-Shapiro, Ilya I.
13
1979
Classical and adelic automorphic forms. An introduction. Zbl 0423.10017
Piatetski-Shapiro, Ilya I.
3
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.
3
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.
19
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
zeta-functions of modular curves. Zbl 0308.14004
Piatetski-Shapiro, Ilya I.
3
1973
Arithmetic of \(K3\) surfaces. Zbl 0293.14010
Piatetski-Shapiro, Ilya I.; Shafarevich, I. R.
1
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.
76
1972
Interrelations between the Tate and Hodge conjectures for Abelian varieties. Zbl 0239.14019
Pyatetskij-Shapiro, I. I.
2
1972
Der Satz von Torelli für algebraische Flächen vom Typ K3. Zbl 0219.14021
Pyatetskij-Shapiro, I. I.; Shafarevich, I. R.
43
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
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.
48
1969
Automorphic functions and the geometry of classical domains. Translated from the Russian. Zbl 0196.09901
Piatetski-Shapiro, Ilya I.
27
1969
Model of voting with random error. Zbl 0205.17803
Vasil’ev, N. B.; Petrovskaya, M. B.; Pyatetskij-Shapiro, I. I.
2
1969
Certain homogeneous neuron nets. Zbl 0205.49501
Pyatetskij-Shapiro, I. I.; Stavskaya, O. N.; Toom, A. L.
1
1969
On homogeneous networks of spontaneous activ elements. Zbl 0191.31102
Stavskaya, O. N.; Pyatetskij-Shapiro, I. I.
8
1968
Homogeneous Kähler manifolds. Zbl 0183.35401
Gindikin, S. G.; Pyatetskij-Shapiro, I. I.; Vinberg, E. B.
8
1968
On a controlable branching process. Zbl 0259.60036
Levina, L. V.; Leontovich, A. M.; Pyatetskij-Shapiro, I. I.
3
1968
Discrete subgroups of Lie groups. Zbl 0203.32907
Pyatetskij-Shapiro, I. I.
1
1968
On reduction modulo a prime of field of modular functions. Zbl 0179.12401
Pyatetskij-Shapiro, I. I.
1
1968
Generalized functions. Vol. 6. Representation theory and automorphic functions. Zbl 0138.07201
Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I.
49
1966
Géométrie des domaines classiques et théorie des fonctions automorphes. Traduit par A.W. Golovanoff. Zbl 0142.05101
Piatetski-Shapiro, Ilya I.
9
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
The main trends of algebraic topology and algebraic geometry. Zbl 0168.43903
Novikov, S. P.; Pyatetskij-Shapiro, I. I.; Shafarevich, I. R.
1
1964
Arithmetic groups in complex domains. Zbl 0138.31804
Pyatetskij-Shapiro, I. I.
1
1964
Classification and canonical realization of complex bounded homogeneous domains. Zbl 0137.05603
Vinberg, È. B.; Piatetski-Shapiro, Ilya I.
24
1963
Automorphic functions and representation theory. Zbl 0136.07301
Gel’fand, I. M.; Pyatetskij-Shapiro, I. I.
3
1963
...and 20 more Documents
all top 5

Cited by 1,021 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
10 Pitale, Ameya
9 Schmidt, Ralf
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 Li, Jian-Shu
8 Matringe, Nadir
8 Prasad, Dipendra
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 Saha, Abhishek
7 Ye, Yangbo
6 Gillespie, Timothy L.
6 Hoffstein, Jeffrey
6 Li, Jinjiang
6 Lubotzky, Alexander
6 Nikulin, Vyacheslav Valentinovich
6 Watanabe, Takao
5 Akbal, Yıldırım
5 Cai, Yingchun
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 Qi, Zhi
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, Yuanqing
4 Chen, Shih-Yu
4 Dolgachev, Igor’ Vladimirovich
4 Furusawa, Masaaki
4 Grobner, Harald
4 Gross, Benedict Hyman
4 Horikawa, Eiji
4 Hulek, Klaus
4 Ikeda, Tamotsu
4 Ishi, Hideyuki
4 Jo, Yeong Seong
4 Lanphier, Dominic
4 Liu, Yifeng
4 Lomelí, Luis Alberto
4 Miyauchi, Michitaka
4 Morimoto, Kazuki
4 Nien, Chufeng
4 Panchishkin, Alexei A.
4 Patterson, Samuel James
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.
...and 921 more Authors
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Cited in 191 Serials

99 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
26 Mathematische Zeitschrift
25 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 Advances in Mathematics
16 Journal of Mathematical Sciences (New York)
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
12 The Ramanujan Journal
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
8 Memoirs of the American Mathematical Society
8 Annals of Mathematics. Second Series
8 Research in Number Theory
7 Mathematical Notes
7 Bulletin de la Société Mathématique de France
7 Publications Mathématiques
7 Indagationes Mathematicae. New 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 Documenta Mathematica
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 Acta Mathematica Sinica. English Series
4 Algebra & Number Theory
4 Annales Mathématiques du Québec
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 Journal of the European Mathematical Society (JEMS)
3 Japanese Journal of Mathematics. 3rd Series
3 Kyoto Journal of Mathematics
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
...and 91 more Serials
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Cited in 51 Fields

798 Number theory (11-XX)
439 Topological groups, Lie groups (22-XX)
164 Algebraic geometry (14-XX)
96 Group theory and generalizations (20-XX)
87 Several complex variables and analytic spaces (32-XX)
47 Differential geometry (53-XX)
38 Abstract harmonic analysis (43-XX)
31 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 Special functions (33-XX)
15 Probability theory and stochastic processes (60-XX)
14 Combinatorics (05-XX)
14 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 \(K\)-theory (19-XX)
2 Integral transforms, operational calculus (44-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 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)

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