Stephen Gelbart

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All published works

Action	Title	Year	Authors
+ PDF Chat	Estimates on Eisenstein Distributions for Reciprocals of p-Adic L-Functions: The Case of Irregular Primes	2017	Stephen Gelbart Ralph Greenberg Stephen D. Miller Freydoon Shahidi
+	(automorphic forms on the metaplectic group/generalized modu	2016	Stephen Gelbart I. I. PIATETSKI-SHAPIROt
+	Estimates on Eisenstein distributions for reciprocals of p-adic L-functions: the case of irregular primes	2016	Stephen Gelbart Ralph Greenberg Stephen D. Miller Freydoon Shahidi
+	A 𝑝-adic integral for the reciprocal of 𝐿-functions	2014	Stephen Gelbart Stephen D. Miller Alexei Panchishkin Freydoon Shahidi
+	The p-Adic Eisenstein Measure and Fourier coefficients for SL(2)	2010	Stephen Gelbart Alexei Pantchichkine Freydoon Shahidi
+	A p-adic integral for the reciprocal of L-functions	2010	Stephen Gelbart Stephen D. Miller Alexei Pantchichkine Freydoon Shahidi
+ PDF	The p-Adic Eisenstein Measure and Shahidi-type p-Adic Integral for SL(2)	2009	Stephen Gelbart Stephen D. Miller Alexei Panchishkin Freydoon Shahidi
+	WHEN IS AN L-FUNCTION NON-VANISHING IN PART OF THE CRITICAL STRIP?	2007	Stephen Gelbart
+ PDF	Book Review: Advanced analytic number theory: L-functions	2007	Stephen Gelbart
+	Lower bounds for L -functions at the edge of the critical strip	2006	Stephen Gelbart Erez Lapid
+ PDF	A new method for lower bounds of L-functions	2004	Stephen Gelbart Erez Lapid Peter Sarnak
+ PDF	Riemann’s zeta function and beyond	2003	Stephen Gelbart Stephen D. Miller
+	Riemann's Zeta Function and Beyond	2003	Stephen Gelbart Stephen D. Miller
+	Generic representations for the unitary group in three variables	2001	Stephen Gelbart Hervé Jacquet Jonathan David Rogawski
+	Boundedness of automorphic 𝐿–functions in vertical strips	2000	Stephen Gelbart Freydoon Shahidi
+	Représentations génériques du groupe unitaire à trois variables	1999	Solomon Friedberg Stephen Gelbart Hervé Jacquet Jonathan David Rogawski
+	Endoscopy, Theta-Liftings, and Period Integrals for the Unitary Group in Three Variables	1997	Stephen Gelbart Jonathan David Rogawski David Soudry
+	Three Lectures on the Modularity of $$\bar{\rho }$$ E,3 and the Langlands Reciprocity Conjecture	1997	Stephen Gelbart
+	Arthur’s modified kernels I: The geometric terms	1996	Stephen Gelbart
+ PDF	More explicit forms of the trace formula	1996	Stephen Gelbart
+	Arthur’s modified kernels II: The spectral terms	1996	Stephen Gelbart
+	Applications of Paley–Wiener, and concluding remarks	1996	Stephen Gelbart
+ PDF	(𝐺,𝑀)-families and the spectral 𝐽ᵪ(𝑓)	1996	Stephen Gelbart
+	Simple forms of the trace formula	1996	Stephen Gelbart
+ PDF Chat	Lectures on the Arthur-Selberg Trace Formula	1996	Stephen Gelbart
+	Lectures on the Arthur-Selberg trace formula	1996	Stephen Gelbart
+	On theta-series liftings for unitary groups	1993	Stephen Gelbart
+	On periods of CUSP forms and algebraic cycles forU(3)	1993	Stephen Gelbart Jonathan David Rogawski David Soudry
+	L-functions and Fourier-Jacobi coefficients for the unitary group U(3)	1991	Stephen Gelbart Jonathan David Rogawski
+	Lectures on automorphic <i>L</i>-functions	1991	James Arthur Stephen Gelbart
+	Papers in analysis, number theory and automorphic L-functions	1990	Ilya Piatetski-Shapiro Stephen Gelbart Roger Howe Peter Sarnak
+	Recent Results on Automorphic L-Functions**Talk delivered at the Conference on Number Theory, Trace Formulas, and Discrete Groups, in honor of Atle Selberg (Oslo, Norway, June 1987).	1989	Stephen Gelbart
+	Analytic Properties of Automorphic L-Functions	1988	Stephen Gelbart
+	DEVELOPMENTS AND REFINEMENTS (1970–1982)	1988	Stephen Gelbart Freydoon Shahidi
+	FIRST STEPS (1965–1970)	1988	Stephen Gelbart Freydoon Shahidi
+	RECENT DEVELOPMENTS (1982– )	1988	Stephen Gelbart Freydoon Shahidi
+	On Whittaker models and the vanishing of Fourier coefficients of cusp forms	1987	Stephen Gelbart David Soudry
+ PDF	Explicit Constructions of Automorphic L-Functions	1987	Stephen Gelbart Ilya Piatetski-Shapiro Stephen Rallis
+	L-functions for G×GL(n)	1987	Stephen Gelbart Ilya Piatetski-Shapiro
+	An elementary introduction to the Langlands program	1984	Stephen Gelbart
+	Some remarks on metaplectic cusp forms and the correspondences of Shimura and Waldspurger	1983	Stephen Gelbart Ilya Piatetski-Shapiro
+	Automorphic forms and L-functions for the unitary group	1983	Stephen Gelbart Ilya Piatetski-Shapiro
+	Automorphic Forms, Representation Theory and Arithmetic: Papers presented at the Bombay Colloquium 1979	1982	Stephen Gelbart
+	L-indistinguishability and R groups for the special linear group	1982	Stephen Gelbart Anthony W. Knapp
+	Irreducible constituents of principal series of SLn(k)	1981	Stephen Gelbart Anthony W. Knapp
+	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
+	Examples of dual reductive pairs	1979	Stephen Gelbart
+ PDF	Automorphic L-functions of half-integral weight	1978	Stephen Gelbart Ilya Piatetski-Shapiro
+ PDF	A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$	1978	Stephen Gelbart Hervé Jacquet
+	Automorphic forms and Artin's conjecture	1977	Stephen Gelbart
+ PDF	A relation between automorphic forms on <i>GL</i> (2) and <i>GL</i> (3)	1976	Stephen Gelbart Hervé Jacquet
+	Elliptic curves and automorphic representations	1976	Stephen Gelbart
+ PDF	Weil’s Representation and the Spectrum of the Metaplectic Group	1976	Stephen Gelbart
+	Automorphic forms on the metaplectic group: Global theory	1976	Stephen Gelbart
+	Local theory: the p-adic places	1976	Stephen Gelbart
+	Metaplectic groups and representations	1976	Stephen Gelbart
+	§5 . CUSP FORMS AND REPRESENTATIONS OF THE ADELE GROUP OF GL(2)	1975	Stephen Gelbart
+	§2. AUTOMORPHIC FORMS AND THE DECOMPOSITION OF L<sup>2</sup>(Γ\SL(2,ℝ))	1975	Stephen Gelbart
+	§6. HECKE THEORY FOR GL(2)	1975	Stephen Gelbart
+	§3. AUTOMORPHIC FORMS AS FUNCTIONS ON THE ADELE GROUP OF GL(2)	1975	Stephen Gelbart
+	§ 8 . EISENSTEIN SERIES AND THE CONTINUOUS SPECTRUM	1975	Stephen Gelbart
+	Automorphic Forms on Adele Groups. (AM-83)	1975	Stephen Gelbart
+	§9. THE TRACE FORMULA FOR GL(2)	1975	Stephen Gelbart
+ PDF	Interwining Operators and Automorphic Forms for the Metaplectic Group	1975	Stephen Gelbart Paul Sally
+	Automorphic forms on Adele groups	1975	Stephen Gelbart
+	Automorphic forms and representations of Adele groups	1975	Stephen Gelbart
+ PDF	A Theory of Stiefel Harmonics	1974	Stephen Gelbart
+ PDF	A theory of Stiefel harmonics	1974	Stephen Gelbart
+	Holomorphic discrete series for the real symplectic group	1973	Stephen Gelbart
+	The decomposition of $L^2 (\Gamma \backslash G)$	1973	Stephen Gelbart
+	Bessel functions, representation theory, and automorphic functions	1973	Stephen Gelbart
+	An example in the theory of automorphic forms	1973	Stephen Gelbart
+ PDF	Harmonics on Stiefel manifolds and generalized Hankel transforms	1972	Stephen Gelbart
+ PDF	Fourier Analysis on GL(n,R)	1970	Stephen Gelbart
+	Infinite dimensional measures and problem solutions	1969	Gustave Choquet Jerrold E. Marsden Tim Lance Stephen Gelbart

Common Coauthors

Coauthor	Papers Together
Freydoon Shahidi	10
Ilya Piatetski-Shapiro	9
Stephen D. Miller	7
Jonathan David Rogawski	5
Hervé Jacquet	4
David Soudry	3
Anthony W. Knapp	2
Alexei Panchishkin	2
Erez Lapid	2
Alexei Pantchichkine	2
Ralph Greenberg	2
Peter Sarnak	2
Gustave Choquet	1
Jerrold E. Marsden	1
I. I. PIATETSKI-SHAPIROt	1
Roger Howe	1
Paul Sally	1
Solomon Friedberg	1
Roger Howe	1
James Arthur	1
Stephen Rallis	1
Tim Lance	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	Automorphic Forms on GL (2)	1970	H. Jacquet R. P. Langlands	19
+ PDF	Zeta Functions of Simple Algebras	1972	Roger Godement Hervé Jacquet	12
+	On Modular Forms of Half Integral Weight	1973	Goro Shimura	10
+ PDF	Sur certains groupes d'opérateurs unitaires	1964	André Weil	10
+ PDF	Automorphic Forms on GL(2) Part II	1972	Hervé Jacquet	10
+	On the Ramanujan Conjecture and Finiteness of Poles for Certain L- Functions	1988	Freydoon Shahidi	10
+	On Certain L-Functions	1981	Freydoon Shahidi	10
+	On Euler Products and the Classification of Automorphic Representations I	1981	H. Jacquet J. A. Shalika	9
+ PDF	On the Functional Equations Satisfied by Eisenstein Series	1976	R. P. Langlands	9
+	On the Holomorphy of Certain Dirichlet Series	1975	Goro Shimura	9
+	Automorphic forms on Adele groups	1975	Stephen Gelbart	8
+ PDF	A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$	1978	Stephen Gelbart Hervé Jacquet	7
+	On automorphic functions and the reciprocity law in a number field	1969	Tomio Kubota	7
+	The Multiplicity One Theorem for GL n	1974	J. A. Shalika	7
+ PDF	Weil’s Representation and the Spectrum of the Metaplectic Group	1976	Stephen Gelbart	7
+	Automorphic Forms on GL(3) II	1979	Hervé Jacquet I. I. Piatetski-Shapiro J. A. Shalika	7
+	Automorphic Forms on GL(3) I	1979	Hervé Jacquet I. I. Piatetski-Shapiro J. A. Shalika	6
+	A Proof of Langlands' Conjecture on Plancherel Measures; Complementary Series of -adic groups	1990	Freydoon Shahidi	6
+	Automorphic forms and L-functions for the unitary group	1983	Stephen Gelbart Ilya Piatetski-Shapiro	6
+ PDF	<i>L</i>-Indistinguishability For <i>SL</i> (2)	1979	J.-P. Labesse R. P. Langlands	6
+	Analytic Properties of Automorphic L-Functions	1988	Stephen Gelbart	6
+	Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series	1956	Atle Selberg	5
+	A trace formula for reductive groups I terms associated to classes in G(Q)	1978	James Arthur	5
+	On an Explicit Construction of a Certain Class of Automorphic Forms	1969	J. A. Shalika S. Tanaka	5
+	Rankin-Selberg Convolutions	1983	H. Jacquet I. I. Piatetskii-Shapiro J. A. Shalika	5
+	Distinguished representations and modular forms of half-integral Weight	1980	Stephen Gelbart Ilya Piatetski-Shapiro	5
+	Fourier analysis in number fields and Hecke's zeta-functions	1967	John Tate	5
+	A trace formula for reductive groups. II : applications of a truncation operator	1980	James Arthur	5
+	On Shimura’s Correspondence for Modular Forms of Half-Integral Weight	1981	Stephen Gelbart Ilya Piatetski-Shapiro	5
+	Automorphic Representation of Unitary Groups in Three Variables. (AM-123)	1990	Jonathan David Rogawski	4
+ PDF	Interwining Operators and Automorphic Forms for the Metaplectic Group	1975	Stephen Gelbart Paul Sally	4
+	Formes Modulaires et Representations De GL(2)	2009	Pierre Deligne	4
+	A non-vanishing theorem for zeta functions ofGL n	1976	Herv� Jacquet J. A. Shalika	4
+	Some examples of automorphic forms on Sp4	1983	Roger Howe Ilya Piatetski-Shapiro	4
+ PDF	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito	4
+	Analytic number theory	1971	Larry Goldstein	4
+	Automorphic Forms on Adele Groups. (AM-83)	1975	Stephen Gelbart	4
+ PDF	Artin’s conjecture for representations of octahedral type	1981	Jerrold B. Tunnell	4
+	Rankin triple L functions	1987	Ilya Piatetski-Shapiro Stephen Rallis	4
+	Representation theory and automorphic functions	1969	М. И. Граев Ilya Piatetski-Shapiro I. M. Gel'fand K. A. Hirsch	4
+ PDF Chat	Functorial Products for GL 2 × GL 3 and the Symmetric Cube for GL 2	2002	Henry H. Kim Freydoon Shahidi	4
+	On the Saito-Kurokawa lifting	1983	Ilya Piatetski-Shapiro	4
+	Functional equation satisfied by certain $L$-functions	1978	Freydoon Shahidi	4
+	The Trace Class Conjecture in the Theory of Automorphic Forms	1989	Werner Müller	4
+ PDF	Automorphic Forms on Semisimple Lie Groups	1968	Harish-chandra Harish-Chandra	4
+	Introduction to the Arithmetic Theory of Automorphic Functions	1972	Marvin Tretkoff Goro Shimura	4
+	Analytic Proof of the Strong Multiplicity One Theorem	1985	Carlos Moreno	4
+	Automorphic representations of unitary groups in three variables	1990	Jonathan David Rogawski	4
+	Cuspidality of symmetric powers with applications	2002	Henry H. Kim Freydoon Shahidi	4
+	Automorphic forms on covering groups ofGL(2)	1980	Yuval Z. Flicker	4