S. J. Patterson

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All published works

Action	Title	Year	Authors
+	On a question of H. A. Schwarz	2020	S. J. Patterson
+	On a question of H. A. Schwarz	2019	S. J. Patterson
+	On a question of H. A. Schwarz	2019	S. J. Patterson
+	Reading Riemann	2017	S. J. Patterson
+	Selberg Sums: A New Perspective	2016	S. J. Patterson
+	The Fourier coefficients of metaplectic theta series on GL(2) over rational function fields	2014	S. J. Patterson
+	Selberg sums - a new perspective	2014	S. J. Patterson
+	The Analytic Theory of Automorphic Forms	2012	Valentin Blomer Philippe Michel S. J. Patterson
+	Excerpt from an Unwritten Letter	2012	S. J. Patterson
+	Analytic Number Theory and Statistics	2007	S. J. Patterson
+ PDF	NOTE ON A PAPER OF J. HOFFSTEIN	2007	S. J. Patterson
+	Gauss Sums	2007	S. J. Patterson
+	Fundamentals of Hyperbolic Manifolds	2006	Richard D. Canary D. B. A. Epstein Richard D. Canary Richard D. Canary Richard D. Canary D. B. A. Epstein William P. Thurston S. J. Patterson
+	LECTURES ON MEASURES ON LIMIT SETS OF KLEINIAN GROUPS	2006	S. J. Patterson
+	Fundamentals of Hyperbolic Manifolds: LECTURES ON MEASURES ON LIMIT SETS OF KLEINIAN GROUPS	2006	S. J. Patterson
+	Theory of the Riemann Zeta and Allied Functions	2005	M. N. Huxley Matti Jutila Yoichi Motohashi S. J. Patterson
+ PDF	The Asymptotic Distribution of Exponential Sums, II	2005	S. J. Patterson
+ PDF	The Asymptotic Distribution of Exponential Sums, I	2003	S. J. Patterson
+	The first moment of cubic exponential sums	2002	Ron Livné S. J. Patterson
+ PDF	On the distribution of certain Hua sums, II	2002	S. J. Patterson
+	The divisor of Selberg's zeta function for Kleinian groups	2001	S. J. Patterson Peter Perry
+ PDF	On the distribution of certain Hua sums	2000	S. J. Patterson
+	The level structure of exceptional metaplectic representations	1998	S. J. Patterson
+ PDF	The cubic Shimura correspondence	1998	S. J. Patterson
+ PDF	Book Review: Selberg zeta and theta functions, A differential operator approach	1997	S. J. Patterson
+ PDF	Book Review: Geometry and spectra of compact Riemann surfaces	1994	S. J. Patterson
+	On the Fourier Coefficients of Biquadratic Theta Series	1992	Carsten Eckhardt S. J. Patterson
+	HARMONIC ANALYSIS ON SYMMETRIC SPACES AND APPLICATIONS	1990	S. J. Patterson
+	THE ERGODIC THEORY OF DISCRETE GROUPS (London Mathematical Society Lecture Note Series 143)	1990	S. J. Patterson
+	Eisenstein and the quintic equation	1990	S. J. Patterson
+	Erich Hecke und die Rolle der L-Reihen in der Zahlentheorie	1990	S. J. Patterson
+	Metric Diophantine approximation of quadratic forms	1989	S. J. Patterson
+	The symmetric-squareL-function attached to a cuspidal automorphic representation ofGL 3	1989	S. J. Patterson Ilya Piatetski-Shapiro
+	The Selberg Zeta-Function of a Kleinian Group	1989	S. J. Patterson
+ PDF	On a lattice-point problem in hyperbolic space and related questions in spectral theory	1988	S. J. Patterson
+	The zeros of the zeta-function and the Prime Number Theorem	1988	S. J. Patterson
+	The gamma-function	1988	S. J. Patterson
+	The Hadamard Product Formula and ‘explicit formulae’ of prime number theory	1988	S. J. Patterson
+	An Introduction to the Theory of the Riemann Zeta-Function	1988	S. J. Patterson
+	Borel–Caratheodory Theorems	1988	S. J. Patterson
+	The Poisson Summation Formula and the functional equation	1988	S. J. Patterson
+	The Riemann Hypothesis and the Lindelöf Hypothesis	1988	S. J. Patterson
+	The approximate functional equation	1988	S. J. Patterson
+	Fourier theory	1988	S. J. Patterson
+	An estimate for certain integrals	1988	S. J. Patterson
+	The Distribution of General Gauss Sums and Similar Arithmetic Functions at Prime Arguments	1987	S. J. Patterson
+	Metaplectic forms and Gauss sums I	1987	S. J. Patterson
+	ELLIPTIC FUNCTIONS (Grundlehren der mathematischen Wissenschaften 281)	1986	S. J. Patterson
+	Tori in metaplectic covers of <i>GL</i><sub>2</sub> and applications to a formula of Loxton–Matthews	1986	S. J. Patterson
+	Towards a generalized shimura correspondence	1986	David Kazhdan S. J. Patterson
+ PDF	The distribution of certain special values of the cubic Legendre symbol	1985	S. J. Patterson
+	Spherical isotropy representations . Non-commutative differential geometry . Transformation de fourier et majoration de sommes exponentielles . Corrections to, Metaplectic forms	1985	Ted Petrie J.D. Randall Alain Connes Nicholas M. Katz Gérard Laumon David Kazhdan S. J. Patterson
+	Metaplectic forms	1984	David Kazhdan S. J. Patterson
+	THE SELBERG TRACE FORMULA FOR PSL(2, <i>R</i> ) Volume 2: (Lecture Notes in Mathematics, 1001)	1984	S. J. Patterson
+	Volume preserving actions of lattices in semisimple groups on compact manifolds . Metaplectic forms . The C[1+α] hypothesis in pesin theory . Propriétés ergodiques des mesures de sinaï	1984	Robert J. Zimmer David Kazhdan S. J. Patterson Charles Pugh F. Ledrappier
+ PDF	Further remarks on the exponent of convergence of Poincaré series	1983	S. J. Patterson
+	The constant term of the cubic theta series.	1982	S. J. Patterson
+	On Automorphic Functions of Half-Integral Weight with Applications to Elliptic Curves	1982	Dorian Goldfeld Jeffrey Hoffstein S. J. Patterson
+	Some Examples of Fuchsian Groups	1979	S. J. Patterson
+	The distribution of Kummer sums at prime arguments.	1979	D. R. Heath‐Brown S. J. Patterson
+	On Dirichlet series associated with cubic Gauss sums.	1978	S. J. Patterson
+	A footnote to ‘On the coefficients of certain automorphic functions’	1978	S. J. Patterson
+ PDF	Book Review: The Selberg trace formula for $PSL\,\left( {2,\mathbf{R}} \right)$, Volume I	1978	S. J. Patterson
+	Ramified coverings of Riemann surfaces	1977	S. J. Patterson
+	A cubic analogue of the theta series. II.	1977	S. J. Patterson
+	A cubic analogue of the theta series.	1977	S. J. Patterson
+	On the coefficients of certain automorphic functions	1977	W. K. Hayman S. J. Patterson Ch. Pommerenke
+	A cubic analogue of the theta series. II.	1977	S. J. Patterson
+	Spectral theory and Fuchsian groups	1977	S. J. Patterson
+	The exponent of convergence of poincar� series	1976	S. J. Patterson
+ PDF	<i>Corrigendum to:</i> “A lattice‐point problem in hyperbolic space”	1976	S. J. Patterson
+	Diophantine approximation in Fuchsian groups	1976	S. J. Patterson
+ PDF	The limit set of a Fuchsian group	1976	S. J. Patterson
+	The laplacian operator on a Riemann surface, III	1976	S. J. Patterson
+ PDF	On the cohomology of Fuchsian groups	1975	S. J. Patterson
+	A lattice‐point problem in hyperbolic space	1975	S. J. Patterson

Common Coauthors

Coauthor	Papers Together
David Kazhdan	4
Alain Connes	1
Jeffrey Hoffstein	1
Yoichi Motohashi	1
Carsten Eckhardt	1
D. B. A. Epstein	1
Richard D. Canary	1
W. K. Hayman	1
William P. Thurston	1
Valentin Blomer	1
Ted Petrie	1
Ilya Piatetski-Shapiro	1
Philippe Michel	1
Peter Perry	1
Gérard Laumon	1
Matti Jutila	1
Nicholas M. Katz	1
Dorian Goldfeld	1
D. R. Heath‐Brown	1
M. N. Huxley	1
Robert J. Zimmer	1
Ch. Pommerenke	1
J.D. Randall	1
F. Ledrappier	1
Ron Livné	1
Charles Pugh	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Metaplectic forms	1984	David Kazhdan S. J. Patterson	11
+	Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series	1956	Atle Selberg	9
+	A cubic analogue of the theta series. II.	1977	S. J. Patterson	6
+ PDF	Automorphic Forms on GL (2)	1970	H. Jacquet R. P. Langlands	5
+	A cubic analogue of the theta series.	1977	S. J. Patterson	5
+	Basic Number Theory	1967	André Weil	5
+	Basic Number Theory	1967	André Weil	5
+	A lattice‐point problem in hyperbolic space	1975	S. J. Patterson	4
+	Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. II	1967	Walter Roelcke	4
+	Spectral theory and Fuchsian groups	1977	S. J. Patterson	4
+	Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. Teil I	1973	J�rgen Elstrodt	4
+	On the Fourier Coefficients of Biquadratic Theta Series	1992	Carsten Eckhardt S. J. Patterson	4
+	Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene, I	1966	Walter Roelcke	4
+	Automorphic forms on covering groups ofGL(2)	1980	Yuval Z. Flicker	4
+ PDF	On the distribution of certain Hua sums	2000	S. J. Patterson	4
+	The first moment of cubic exponential sums	2002	Ron Livné S. J. Patterson	4
+	Gauss sums and elliptic functions: II. The quartic sum	1979	Christopher R. Matthews	4
+	The distribution of Kummer sums at prime arguments.	1979	D. R. Heath‐Brown S. J. Patterson	4
+	A Treatise on the Theory of Bessel Functions.	1923	Matthew Porter G. N. Watson	4
+	Solution of the congruence subgroup problem for SL n (n ≥ 3) and Sp2n (n ≥ 2)	1967	Hyman Bass John Milnor Jean-Pierre Serre	3
+	Abelian l-Adic Representations and Elliptic Curves	1997	Jean-Pierre Serre	3
+	On Some Exponential Sums	1948	André Weil	3
+	Potential theory in modern function theory	1959	正次辻	3
+	Sums of Kloosterman sums	1983	Dorian Goldfeld Peter Sarnak	3
+ PDF	Kummer’s conjecture for cubic Gauss sums	2000	D. R. Heath‐Brown	3
+	Elementary theory of Eisenstein series	1973	富雄久保田	3
+ PDF	The asymptotic distribution of Kloosterman sums	1997	Savannah Patterson	3
+ PDF	Discontinuous Groups and Automorphic Functions	1964	Joseph Lehner	3
+	On automorphic functions and the reciprocity law in a number field	1969	Tomio Kubota	3
+	On the distribution of the roots of polynomial congruences	1964	C. Hooley	3
+	Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature	1987	Rafe Mazzeo Richard Melrose	3
+ PDF	The limit set of a Fuchsian group	1976	S. J. Patterson	3
+ PDF	Sur certains groupes d'opérateurs unitaires	1964	André Weil	3
+	Proof of the Evans-Root Conjectures for Selberg Character Sums	1993	Paul B. van Wamelen	2
+ PDF	Repellers for real analytic maps	1982	David Ruelle	2
+	Gauss sums and elliptic functions	1979	Christopher R. Matthews	2
+	Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen Fällen.	1935	H. Davenport Helmut Hasse	2
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	2
+	Fundamental polygons for Fuchsian groups	1967	Leon A. Greenberg	2
+ PDF	The zeta functions of Ruelle and Selberg. I	1986	David Fried	2
+	Distinguished representations and modular forms of half-integral Weight	1980	Stephen Gelbart Ilya Piatetski-Shapiro	2
+ PDF	On the Functional Equations Satisfied by Eisenstein Series	1976	R. P. Langlands	2
+	On Hua's Estimate for Exponential Sums	1982	John Loxton Robert A. Smith	2
+	Handbuch der Lehre von der Verteilung der Primzahlen	1911	Edmund Landau	2
+ PDF	Kummer surfaces and the computation of the Picard group	2012	Andreas-Stephan Elsenhans Jörg Jahnel	2
+	Minorations de sommes d’exponentielles	1998	Philippe Michel	2
+	Zeta-functions for expanding maps and Anosov flows	1976	David Ruelle	2
+	Restglied eines Tauberschen Satzes. III	1954	G. Freud	2
+	An Introduction to Diophantine Approximation.	1958	John C. Brixey J. W. S. Cassels	2
+	Computation of Class Numbers by an Analytic Method	1987	Carsten Eckhardt	2