Ilya Piatetski-Shapiro

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF	Derivatives and L-Functions for GL n	2017	James Cogdell Ilya Piatetski-Shapiro
+ PDF	On partial Poincaré series	2009	J. W. Cogdell Ilya Piatetski-Shapiro
+	STABILITY OF $\gamma$-FACTORS FOR QUASI-SPLIT GROUPS	2007	James Cogdell Ilya Piatetski-Shapiro Freydoon Shahidi
+	STABILITY OF γ-FACTORS FOR QUASI-SPLIT GROUPS	2007	James Cogdell Ilya Piatetski-Shapiro Freydoon Shahidi
+ PDF	Partial Bessel functions for quasi-split groups	2005	James Cogdell Ilya Piatetski-Shapiro Freydoon Shahidi
+	Ramanujan complexes, non-uniform quotients, and isospectrality	2005	Beth Samuels Ilya Piatetski-Shapiro
+ PDF	Functoriality for the classical groups	2004	James Cogdell H. H. Kim Ilya Piatetski-Shapiro Freydoon Shahidi
+	On the uniqueness of Fourier Jacobi models for representations of 𝑈(2,1)	2003	Ehud Moshe Baruch Ilya Piatetski-Shapiro Stephen Rallis
+	Converse theorems, functoriality, and applications to number theory	2003	James Cogdell Ilya Piatetski-Shapiro
+	Converse Theorems, Fune tor iality, and Applications to Number Theory	2002	James Cogdell Ilya Piatetski-Shapiro
+	Quadratic base change of θ10	2001	Ju-Lee Kim Ilya Piatetski-Shapiro
+ PDF	On lifting from classical groups to GLN	2001	James Cogdell H.H. Kim Ilya Piatetski-Shapiro Freydoon Shahidi
+	Selected Works of Ilya Piatetski-Shapiro	2000	Ilya Piatetski-Shapiro James Cogdell Семен Григорьевич Гиндикин Peter Sarnak
+	Converse theorems for GLn, II	1999	James Cogdell Ilya Piatetski-Shapiro
+	Stability of gamma factors forSO(2n+1)	1998	James Cogdell Ilya Piatetski-Shapiro
+	Stability of gamma factors for SO (2 n +1)	1998	James Cogdell Ilya Piatetski-Shapiro
+ PDF	L-functions for GSp<sub>4</sub>	1997	Ilya Piatetski-Shapiro
+	L Functions for the Orthogonal Group	1997	David Ginzburg Ilya Piatetski-Shapiro Stephen Rallis
+ PDF	A Converse Theorem for $GL_4$	1996	James Cogdell Ilya Piatetski-Shapiro
+	Unitarity and functoriality	1995	James Cogdell Ilya Piatetski-Shapiro
+ PDF	On base change for odd orthogonal groups	1995	James Cogdell Ilya Piatetski-Shapiro
+ PDF	Unitarity and Functoriality	1995	James Cogdell Ilya Piatetski-Shapiro
+	Converse theorems for GL n	1994	J. W. Cogdell Ilya Piatetski-Shapiro
+	Hénon mappings in the complex domain I : the global topology of dynamical space . Moduli of representations of the fundamental group of a smooth projective variety I . First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity . Converse theorems for GL[n]	1994	John H. Hubbard Ralph W. Oberste-Vorth Carlos Simpson A. B. Katok Ralf Spatzier James Cogdell Ilya Piatetski-Shapiro
+	Rankin-Selberg Integrals for the Group G 2	1992	Ilya Piatetski-Shapiro Stephen Rallis Gérard Schiffmann
+ PDF	Poincaré series for SO(n, 1)	1991	James Cogdell Ilya Piatetski-Shapiro Jinshan Li Peter Sarnak
+	The meromorphic continuation of Kloosterman-Selberg zeta functions	1990	James Cogdell Ilya Piatetski-Shapiro
+	Papers in analysis, number theory and automorphic L-functions	1990	Ilya Piatetski-Shapiro Stephen Gelbart Roger Howe Peter Sarnak
+ PDF	𝐿 functions for the group 𝐺₂	1990	Ilya Piatetski-Shapiro Stephen Rallis Gérard Schiffmann
+	WITHDRAWN: THE KLOOSTERMAN-SELBERG ZETA FUNCTION, II	1990	James Cogdell Ilya Piatetski-Shapiro
+	WITHDRAWN: KLOOSTERMAN-SELBERG ZETA FUNCTION: GEOMETRIC SIDE	1990	James Cogdell Ilya Piatetski-Shapiro
+	WITHDRAWN: THE RAMANUJAN-PETERSSON AND LINNIK-SELBERG CONJECTURES	1990	James Cogdell Ilya Piatetski-Shapiro
+	The Arithmetic and Spectral Analysis of Poincaré Series	1990	James Cogdell Ilya Piatetski-Shapiro
+	The symmetric-squareL-function attached to a cuspidal automorphic representation ofGL 3	1989	S. J. Patterson Ilya Piatetski-Shapiro
+	The existence of Maass cusp forms and Kloosterman sums	1989	Ilya Piatetski-Shapiro
+	Special representations of rank one orthogonal groups	1988	Ilya Piatetski-Shapiro David Soudry
+	Base change for the Saito-Kurokawa representations of PGSp(4)	1988	James Cogdell Ilya Piatetski-Shapiro
+	Bifurcations de points fixes elliptiques, III. - Orbites périodiques de > périodes et élimination résonnante des couples de courbes invariantes . Non-arithmetic groups in Lobachevsky spaces . Existence de faisceaux réflexifs de rang deux sur P[3] à bonne cohomologie . On the creation of homoclinic points . A proof of the C[1] stability conjecture . On the C[1] Ω-stability conjecture	1988	Alain Chenciner Mikhael Gromov Ilya Piatetski-Shapiro André Hirschowitz Ricardo Mañé Jacob Palis
+	Non-arithmetic groups in lobachevsky spaces	1987	M. Gromov Ilya Piatetski-Shapiro
+	Poincaré series forSO(n, 1)	1987	Jian-Shu Li Ilya Piatetski-Shapiro Peter Sarnak
+	Base change for ≈SL2	1987	James Cogdell Ilya Piatetski-Shapiro
+ PDF	Explicit Constructions of Automorphic L-Functions	1987	Stephen Gelbart Ilya Piatetski-Shapiro Stephen Rallis
+	Rankin triple L functions	1987	Ilya Piatetski-Shapiro Stephen Rallis
+	L-functions for G×GL(n)	1987	Stephen Gelbart Ilya Piatetski-Shapiro
+	L-functions for the classical groups	1987	Ilya Piatetski-Shapiro Stephen Rallis
+	Invariant theory and kloosterman sums	1987	Ilya Piatetski-Shapiro
+	ε factor of representations of classical groups	1986	Ilya Piatetski-Shapiro Stephen Rallis
+ PDF	L and ε functions for GSp(4) × GL(2)	1984	Ilya Piatetski-Shapiro David Soudry
+	A remark on my paper ?On the Saito-Kurokawa lifting?	1984	Ilya Piatetski-Shapiro
+	On the Saito-Kurokawa lifting	1983	Ilya Piatetski-Shapiro
+	Some remarks on metaplectic cusp forms and the correspondences of Shimura and Waldspurger	1983	Stephen Gelbart Ilya Piatetski-Shapiro
+	Some examples of automorphic forms on Sp4	1983	Roger Howe Ilya Piatetski-Shapiro
+	Automorphic forms and L-functions for the unitary group	1983	Stephen Gelbart Ilya Piatetski-Shapiro
+	Complex Representations of 𝐺𝐿(2,𝐾) for Finite Fields 𝐾	1983	Ilya Piatetski-Shapiro
+ PDF	Chapter 2: The representations of GL(2,K)	1983	Ilya Piatetski-Shapiro
+	Chapter 3: Γ-functions and Bessel functions	1983	Ilya Piatetski-Shapiro
+	Work of Waldspurger	1983	Ilya Piatetski-Shapiro
+	Complex representations of GL(2,K) for finite fields K	1983	Ilya Piatetski-Shapiro
+	Special Automorphic Forms on PGSp 4	1983	Ilya Piatetski-Shapiro
+	L and ε Factors for GSp (4)	1982	Ilya Piatetski-Shapiro David Soudry
+	Cuspidal Automorphic Representations Associated to Parabolic Subgroups and Ramanujan Conjecture	1982	Ilya Piatetski-Shapiro
+	Conducteur des repr�sentations du groupe lin�aire	1981	H. Jacquet Ilya Piatetski-Shapiro J. A. Shalika
+	On Shimura’s Correspondence for Modular Forms of Half-Integral Weight	1981	Stephen Gelbart Ilya Piatetski-Shapiro
+	Distinguished representations and modular forms of half-integral Weight	1980	Stephen Gelbart Ilya Piatetski-Shapiro
+	Uniqueness and existence of Whittaker models for the metaplictic group	1979	Stephen Gelbart Roger Howe Ilya Piatetski-Shapiro
+ PDF	A counterexample to the “generalized Ramanujan conjecture” for (quasi-) split groups	1979	Roger Howe Ilya Piatetski-Shapiro
+	Classical and adelic automorphic forms. An introduction	1979	Ilya Piatetski-Shapiro
+	Multiplicity one theorems	1979	Ilya Piatetski-Shapiro
+ PDF	Automorphic L-functions of half-integral weight	1978	Stephen Gelbart Ilya Piatetski-Shapiro
+	Converse theorem for GL(3)	1975	Ilya Piatetski-Shapiro
+	Representation theory and automorphic functions	1969	М. И. Граев Ilya Piatetski-Shapiro I. M. Gel'fand K. A. Hirsch
+	Automorphic functions and the geometry of classical domains	1969	Ilya Piatetski-Shapiro
+	Géométrie des domaines classiques et théorie des fonctions automorphes	1966	Ilya Piatetski-Shapiro

Common Coauthors

Coauthor	Papers Together
James Cogdell	25
Stephen Gelbart	9
Stephen Rallis	8
Freydoon Shahidi	5
Peter Sarnak	4
Roger Howe	3
David Soudry	3
Gérard Schiffmann	2
J. W. Cogdell	2
A. B. Katok	1
Roger Howe	1
Alain Chenciner	1
H.H. Kim	1
David Ginzburg	1
André Hirschowitz	1
Carlos Simpson	1
Ehud Moshe Baruch	1
Jinshan Li	1
John H. Hubbard	1
S. J. Patterson	1
I. M. Gel'fand	1
M. Gromov	1
Jian-Shu Li	1
Mikhael Gromov	1
Семен Григорьевич Гиндикин	1
H. Jacquet	1
Ricardo Mañé	1
М. И. Граев	1
K. A. Hirsch	1
J. A. Shalika	1
Ju-Lee Kim	1
Ralf Spatzier	1
Jacob Palis	1
Beth Samuels	1
Ralph W. Oberste-Vorth	1
H. H. Kim	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	Automorphic Forms on GL (2)	1970	H. Jacquet R. P. Langlands	19
+	On Euler Products and the Classification of Automorphic Representations I	1981	H. Jacquet J. A. Shalika	13
+	Rankin-Selberg Convolutions	1983	H. Jacquet I. I. Piatetskii-Shapiro J. A. Shalika	10
+ PDF	A counterexample to the “generalized Ramanujan conjecture” for (quasi-) split groups	1979	Roger Howe Ilya Piatetski-Shapiro	9
+ PDF	Weil’s Representation and the Spectrum of the Metaplectic Group	1976	Stephen Gelbart	8
+	On Shimura’s Correspondence for Modular Forms of Half-Integral Weight	1981	Stephen Gelbart Ilya Piatetski-Shapiro	8
+	On Modular Forms of Half Integral Weight	1973	Goro Shimura	7
+	On the Saito-Kurokawa lifting	1983	Ilya Piatetski-Shapiro	7
+	Distinguished representations and modular forms of half-integral Weight	1980	Stephen Gelbart Ilya Piatetski-Shapiro	6
+	Some examples of automorphic forms on Sp4	1983	Roger Howe Ilya Piatetski-Shapiro	6
+ PDF	Induced representations of reductive ${\germ p}$-adic groups. I	1977	I. N. Bernstein Andrei Zelevinsky	6
+ PDF	Automorphic Forms on GL(2) Part II	1972	Hervé Jacquet	6
+	Converse theorems for GL n	1994	J. W. Cogdell Ilya Piatetski-Shapiro	6
+ PDF	On the notion of an automorphic representation. A supplement to the preceding paper	1979	R. P. Langlands	5
+	Stability of gamma factors for SO (2 n +1)	1998	James Cogdell Ilya Piatetski-Shapiro	5
+	On automorphic functions and the reciprocity law in a number field	1969	Tomio Kubota	5
+	Some remarks on metaplectic cusp forms and the correspondences of Shimura and Waldspurger	1983	Stephen Gelbart Ilya Piatetski-Shapiro	5
+	Automorphic Forms on GL(3) II	1979	Hervé Jacquet I. I. Piatetski-Shapiro J. A. Shalika	5
+ PDF	On the Functional Equations Satisfied by Eisenstein Series	1976	R. P. Langlands	5
+ PDF	Zeta Functions of Simple Algebras	1972	Roger Godement Hervé Jacquet	5
+	A lemma on highly ramified ?-factors	1985	Hervé Jacquet J. A. Shalika	5
+	Automorphic Forms on GL(3) I	1979	Hervé Jacquet I. I. Piatetski-Shapiro J. A. Shalika	5
+	Automorphic forms and automorphic representations	1979	A. Borel H. Jacquet	5
+	On the howe duality conjecture	1984	Stephen Rallis	5
+	A Proof of Langlands' Conjecture on Plancherel Measures; Complementary Series of -adic groups	1990	Freydoon Shahidi	5
+	Automorphic 𝐿-functions	1979	A. Borel	5
+ PDF	Sur certains groupes d'opérateurs unitaires	1964	André Weil	5
+ PDF	Sur la formule de Siegel dans la théorie des groupes classiques	1965	André Weil	4
+	Representation theory and automorphic functions	1969	М. И. Граев Ilya Piatetski-Shapiro I. M. Gel'fand K. A. Hirsch	4
+ PDF	Local coefficients as Artin factors for real groups	1985	Freydoon Shahidi	4
+	Group extensions ofp-adic and adelic linear groups	1968	Calvin C. Moore	4
+	Special Automorphic Forms on PGSp 4	1983	Ilya Piatetski-Shapiro	4
+	Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two	1978	Nobushige Kurokawa	4
+	Linear algebraic groups	1966	Armand Borel	4
+	None	2002	Freydoon Shahidi	4
+ PDF	On lifting from classical groups to GLN	2001	James Cogdell H.H. Kim Ilya Piatetski-Shapiro Freydoon Shahidi	4
+	On the estimation of Fourier coefficients of modular forms	1965	Atle Selberg	4
+	Automorphic forms on covering groups ofGL(2)	1980	Yuval Z. Flicker	4
+ PDF	A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$	1978	Stephen Gelbart Hervé Jacquet	4
+	Work of Waldspurger	1983	Ilya Piatetski-Shapiro	3
+	Formulas and Theorems for the Special Functions of Mathematical Physics	1966	Wilhelm Magnus Fritz Oberhettinger Raj Pal Soni	3
+	Uniqueness and existence of Whittaker models for the metaplictic group	1979	Stephen Gelbart Roger Howe Ilya Piatetski-Shapiro	3
+ PDF	The Whittaker models of induced representations	1983	Hervé Jacquet J. A. Shalika	3
+	Automorphic Forms, Representation Theory and Arithmetic	1981	Gelbart Harder Iwasawa Jacquet Katz Piatetski-Shapiro Raghavan Shintani Stark Zagier	3
+	Whittaker models for admissible representations of reductive 𝑝-adic split groups	1973	François Rodier	3
+ PDF	Modular forms of half integral weight and the integral of certain theta-functions	1975	Shinji Niwa	3
+	Weil Representations of Symplectic p-Adic Groups	1979	Charles Asmuth	3
+	Contributions to the theory of Ramanujan's function τ(<i>n</i>) and similar arithmetical functions	1940	R. A. Rankin	3
+	On Some Exponential Sums	1948	André Weil	3
+ PDF	On construction of holomorphic cusp forms of half integral weight	1975	Takuro Shintani	3