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Patterson, Samuel James

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Author ID: patterson.samuel-james Recent zbMATH articles by "Patterson, Samuel James"
Published as: Patterson, S. J.; Patterson, Samuel J.; Patterson, Samuel James; Patterson, Samuel
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 68 Publications since 1975, including 6 Books
4 Contributions as Editor · 1 Further Contribution
Reviewing Activity: 491 Reviews
Biographic References: 2 Publications
Co-Authors: 17 Co-Authors with 15 Joint Publications
688 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 791 times in 588 Documents Cited by Year
The limit set of a Fuchsian group. Zbl 0336.30005
Patterson, S. J.
238
1976
Metaplectic forms. Zbl 0559.10026
Kazhdan, D. A.; Patterson, S. J.
101
1984
The divisor of Selberg’s zeta function for Kleinian groups. Appendix A by Charles Epstein. Zbl 1012.11083
Patterson, S. J.; Perry, Peter A.
57
2001
An introduction to the theory of the Riemann zeta-function. Zbl 0641.10029
Patterson, S. J.
38
1988
A lattice-point problem in hyperbolic space. Zbl 0308.10013
Patterson, S. J.
30
1975
The distribution of Kummer sums at prime arguments. Zbl 0412.10028
Heath-Brown, D. R.; Patterson, S. J.
27
1979
Diophantine approximation in Fuchsian groups. Zbl 0338.10028
Patterson, S. J.
24
1976
The Laplacian operator on a Riemann surface. Zbl 0321.30020
Patterson, S. J.
24
1975
A cubic analogue of the theta series. Zbl 0358.10011
Patterson, S. J.
21
1977
On a lattice-point problem in hyperbolic space and related questions in spectral theory. Zbl 0645.10040
Patterson, S. J.
17
1988
The shaping of arithmetic after C.F. Gauss’s Disquisitiones Arithmeticae. Zbl 1149.01001
17
2007
Towards a generalized Shimura correspondence. Zbl 0616.10023
Kazhdan, D. A.; Patterson, S. J.
16
1986
The exponent of convergence of Poincaré series. Zbl 0349.30012
Patterson, S. J.
16
1976
On automorphic functions of half-integral weight with applications to elliptic curves. Zbl 0499.10029
Goldfeld, D.; Hoffstein, J.; Patterson, S. J.
13
1982
The distribution of general Gauss sums and similar arithmetic functions at prime arguments. Zbl 0612.10030
Patterson, S. J.
12
1987
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
Further remarks on the exponent of convergence of Poincaré series. Zbl 0505.20036
Patterson, S. J.
12
1983
Spectral theory and Fuchsian groups. Zbl 0372.30015
Patterson, S. J.
10
1977
Lectures on measures on limit sets of Kleinian groups. Zbl 0611.30036
Patterson, S. J.
9
1987
A cubic analogue of the cuspidal theta representations. Zbl 0563.10022
Patterson, S. J.; Piatetski-Shapiro, Ilya I.
7
1984
An introduction to the theory of the Riemann zeta-function. 1st pbk ed. Zbl 0831.11045
Patterson, S. J.
7
1995
The Laplacian operator on a Riemann surface. III. Zbl 0342.30011
Patterson, S. J.
7
1976
On the cohomology of Fuchsian groups. Zbl 0317.20029
Patterson, S. J.
7
1975
The Laplacian operator on a Riemann surface. II. Zbl 0321.30021
Patterson, S. J.
7
1976
A cubic analogue of the theta series. II. Zbl 0358.10012
Patterson, S. J.
6
1977
The Selberg zeta-function of a Kleinian group. Zbl 0668.10036
Patterson, S. J.
5
1989
Some examples of Fuchsian groups. Zbl 0393.30038
Patterson, S. J.
5
1979
On the distribution of Kummer sums. Zbl 0384.10017
Patterson, S. J.
4
1978
Eisenstein and the quintic equation. Zbl 0699.01015
Patterson, S. J.
3
1990
On the Fourier coefficients of biquadratic theta series. Zbl 0725.11023
Eckhard, C.; Patterson, S. J.
3
1992
Metaplectic forms and Gauss sums. I. Zbl 0632.10030
Patterson, S. J.
3
1987
On Dirichlet series associated with cubic Gauss sums. Zbl 0384.10016
Patterson, S. J.
3
1978
The first moment of cubic exponential sums. Zbl 1039.11051
Livné, R.; Patterson, S. J.
3
2002
The asymptotic distribution of exponential sums. I. Zbl 1061.11046
Patterson, S. J.
3
2003
On Ruelle’s zeta-function. Zbl 0721.58041
Patterson, S. J.
2
1990
The distribution of general Gauss sums at prime arguments. Zbl 0463.10027
Patterson, S. J.
2
1981
Note on a paper of J. Hoffstein. Zbl 1160.11020
Patterson, S. J.
2
2007
On the distribution of certain Hua sums. II. Zbl 1161.11371
Patterson, S. J.
2
2002
The asymptotic distribution of exponential sums. II. Zbl 1148.11043
Patterson, S. J.
2
2005
Uniformization and discontinuous groups. (Uniformisierung und diskontinuierliche Gruppen.) Zbl 0873.01017
Patterson, Samuel
1
1997
The Selberg zeta function of a Kleinian group. Zbl 0603.10029
Patterson, S. J.
1
1986
A heuristic principle and applications to Gauss sums. Zbl 0669.10060
Patterson, S. J.
1
1987
Whittaker models of generalized theta series. Zbl 0563.10023
Patterson, S. J.
1
1984
The constant term of the cubic theta series. Zbl 0484.10018
Patterson, S. J.
1
1982
The asymptotic distribution of Kloosterman sums. Zbl 0868.11036
Patterson, S. J.
1
1997
Metric Diophantine approximation of quadratic forms. Zbl 0705.11041
Patterson, S. J.
1
1989
On the coefficients of certain automorphic functions. Zbl 0373.30017
Hayman, W. K.; Patterson, S. J.; Pommerenke, Ch.
1
1977
A footnote to ’On the coefficients of certain automorphic functions’. Zbl 0387.30025
Patterson, S. J.
1
1978
On the distribution of some arithmetical functions. Zbl 1161.11370
Patterson, S. J.
1
2006
Abel’s theorem. Zbl 0952.01012
Patterson, S. J.
1
1999
Corrigendum to: “A lattice-point problem in hyperbolic space”. Zbl 0341.10022
Patterson, S. J.
1
1976
Ramified coverings of Riemann surfaces. Zbl 0351.30013
Patterson, S. J.
1
1977
On the distribution of certain Hua sums. Zbl 1107.11309
Patterson, S. J.
1
2000
The shaping of arithmetic after C.F. Gauss’s Disquisitiones Arithmeticae. Zbl 1149.01001
17
2007
Note on a paper of J. Hoffstein. Zbl 1160.11020
Patterson, S. J.
2
2007
On the distribution of some arithmetical functions. Zbl 1161.11370
Patterson, S. J.
1
2006
The asymptotic distribution of exponential sums. II. Zbl 1148.11043
Patterson, S. J.
2
2005
The asymptotic distribution of exponential sums. I. Zbl 1061.11046
Patterson, S. J.
3
2003
The first moment of cubic exponential sums. Zbl 1039.11051
Livné, R.; Patterson, S. J.
3
2002
On the distribution of certain Hua sums. II. Zbl 1161.11371
Patterson, S. J.
2
2002
The divisor of Selberg’s zeta function for Kleinian groups. Appendix A by Charles Epstein. Zbl 1012.11083
Patterson, S. J.; Perry, Peter A.
57
2001
On the distribution of certain Hua sums. Zbl 1107.11309
Patterson, S. J.
1
2000
Abel’s theorem. Zbl 0952.01012
Patterson, S. J.
1
1999
Uniformization and discontinuous groups. (Uniformisierung und diskontinuierliche Gruppen.) Zbl 0873.01017
Patterson, Samuel
1
1997
The asymptotic distribution of Kloosterman sums. Zbl 0868.11036
Patterson, S. J.
1
1997
An introduction to the theory of the Riemann zeta-function. 1st pbk ed. Zbl 0831.11045
Patterson, S. J.
7
1995
On the Fourier coefficients of biquadratic theta series. Zbl 0725.11023
Eckhard, C.; Patterson, S. J.
3
1992
Eisenstein and the quintic equation. Zbl 0699.01015
Patterson, S. J.
3
1990
On Ruelle’s zeta-function. Zbl 0721.58041
Patterson, S. J.
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
The Selberg zeta-function of a Kleinian group. Zbl 0668.10036
Patterson, S. J.
5
1989
Metric Diophantine approximation of quadratic forms. Zbl 0705.11041
Patterson, S. J.
1
1989
An introduction to the theory of the Riemann zeta-function. Zbl 0641.10029
Patterson, S. J.
38
1988
On a lattice-point problem in hyperbolic space and related questions in spectral theory. Zbl 0645.10040
Patterson, S. J.
17
1988
The distribution of general Gauss sums and similar arithmetic functions at prime arguments. Zbl 0612.10030
Patterson, S. J.
12
1987
Lectures on measures on limit sets of Kleinian groups. Zbl 0611.30036
Patterson, S. J.
9
1987
Metaplectic forms and Gauss sums. I. Zbl 0632.10030
Patterson, S. J.
3
1987
A heuristic principle and applications to Gauss sums. Zbl 0669.10060
Patterson, S. J.
1
1987
Towards a generalized Shimura correspondence. Zbl 0616.10023
Kazhdan, D. A.; Patterson, S. J.
16
1986
The Selberg zeta function of a Kleinian group. Zbl 0603.10029
Patterson, S. J.
1
1986
Metaplectic forms. Zbl 0559.10026
Kazhdan, D. A.; Patterson, S. J.
101
1984
A cubic analogue of the cuspidal theta representations. Zbl 0563.10022
Patterson, S. J.; Piatetski-Shapiro, Ilya I.
7
1984
Whittaker models of generalized theta series. Zbl 0563.10023
Patterson, S. J.
1
1984
Further remarks on the exponent of convergence of Poincaré series. Zbl 0505.20036
Patterson, S. J.
12
1983
On automorphic functions of half-integral weight with applications to elliptic curves. Zbl 0499.10029
Goldfeld, D.; Hoffstein, J.; Patterson, S. J.
13
1982
The constant term of the cubic theta series. Zbl 0484.10018
Patterson, S. J.
1
1982
The distribution of general Gauss sums at prime arguments. Zbl 0463.10027
Patterson, S. J.
2
1981
The distribution of Kummer sums at prime arguments. Zbl 0412.10028
Heath-Brown, D. R.; Patterson, S. J.
27
1979
Some examples of Fuchsian groups. Zbl 0393.30038
Patterson, S. J.
5
1979
On the distribution of Kummer sums. Zbl 0384.10017
Patterson, S. J.
4
1978
On Dirichlet series associated with cubic Gauss sums. Zbl 0384.10016
Patterson, S. J.
3
1978
A footnote to ’On the coefficients of certain automorphic functions’. Zbl 0387.30025
Patterson, S. J.
1
1978
A cubic analogue of the theta series. Zbl 0358.10011
Patterson, S. J.
21
1977
Spectral theory and Fuchsian groups. Zbl 0372.30015
Patterson, S. J.
10
1977
A cubic analogue of the theta series. II. Zbl 0358.10012
Patterson, S. J.
6
1977
On the coefficients of certain automorphic functions. Zbl 0373.30017
Hayman, W. K.; Patterson, S. J.; Pommerenke, Ch.
1
1977
Ramified coverings of Riemann surfaces. Zbl 0351.30013
Patterson, S. J.
1
1977
The limit set of a Fuchsian group. Zbl 0336.30005
Patterson, S. J.
238
1976
Diophantine approximation in Fuchsian groups. Zbl 0338.10028
Patterson, S. J.
24
1976
The exponent of convergence of Poincaré series. Zbl 0349.30012
Patterson, S. J.
16
1976
The Laplacian operator on a Riemann surface. III. Zbl 0342.30011
Patterson, S. J.
7
1976
The Laplacian operator on a Riemann surface. II. Zbl 0321.30021
Patterson, S. J.
7
1976
Corrigendum to: “A lattice-point problem in hyperbolic space”. Zbl 0341.10022
Patterson, S. J.
1
1976
A lattice-point problem in hyperbolic space. Zbl 0308.10013
Patterson, S. J.
30
1975
The Laplacian operator on a Riemann surface. Zbl 0321.30020
Patterson, S. J.
24
1975
On the cohomology of Fuchsian groups. Zbl 0317.20029
Patterson, S. J.
7
1975
all top 5

Cited by 567 Authors

17 Patterson, Samuel James
14 Bump, Daniel
13 Friedberg, Solomon
13 Ginzburg, David
12 Guillarmou, Colin
12 Oh, Hee
10 Hoffstein, Jeffrey
9 Gao, Peng
9 Naud, Frédéric
9 Stratmann, Bernd O.
9 Urbański, Mariusz
9 Zhao, Liangyi
8 Dyatlov, Semyon
8 Kontorovich, Alex V.
8 Pollicott, Mark
7 Borthwick, David
7 Brubaker, Ben
7 Perry, Peter A.
7 Proskurin, Nikolaĭ Vital’evich
7 Sarnak, Peter Clive
6 Bourgain, Jean
6 Falk, Kurt
6 Matsuzaki, Katsuhiko
5 Gamburd, Alexander
5 Kesseböhmer, Marc
5 Link, Gabriele
5 Peigné, Marc
5 Pohl, Anke D.
5 Sharp, Richard W.
5 Sullivan, Dennis Parnell
5 Szpruch, Dani
5 Zworski, Maciej
4 Chatzakos, Dimitrios
4 Jakobson, Dmitry
4 Kaplan, Eyal
4 Kazhdan, David A.
4 Lapidus, Michel L.
4 Michel, Philippe Gabriel
4 Rallis, Stephen James
4 Simmons, David
4 Tukia, Pekka
4 Velani, Sanju L.
4 Weich, Tobias
3 Albin, Pierre
3 Boyer, Adrien
3 Burger, Marc
3 Bytsenko, Andrei A.
3 Canary, Richard D.
3 Chamizo Lorente, Fernando
3 Denker, Manfred
3 Flicker, Yuval Z.
3 Furusawa, Harushi
3 Guillopé, Laurent
3 Hill, Richard Michael
3 Jaerisch, Johannes
3 Lazowski, Andrew
3 Lieman, Daniel B.
3 Magee, Michael
3 Mohammadi, Amir
3 Petridis, Yiannis N.
3 Phillips, Ralph Saul
3 Risager, Morten S.
3 Sambarino, Andrés
3 Savin, Gordan
3 Schlenker, Jean-Marc
3 Soares, Louis
3 Stadlbauer, Manuel
3 Tomaschitz, Roman
3 Wang, Fang
2 Abreu, Luís Daniel
2 Adams, Jeffrey David
2 Akaza, Tohru
2 Balasubramanian, Kumar
2 Banks, William D.
2 Berg, Michael C.
2 Bishop, Christopher James
2 Bonfert-Taylor, Petra
2 Bray, Harrison
2 Bridgeman, Martin J.
2 Buciumas, Valentin
2 Butzer, Paul Leo
2 Cai, Yuanqing
2 Carron, Gilles
2 Christian, Ulrich
2 Climenhaga, Vaughn
2 Connell, Chris
2 Cordeiro, Gauss Moutinho
2 Corlette, Kevin
2 Cornelissen, Gunther
2 Cribari-Neto, Francisco
2 Dal’bo, Françoise
2 Das, Tushar Kanti
2 Epstein, Charles Lawrence
2 Ferrari, Silvia Lopes de Paula
2 Fishman, Lior
2 Fouvry, Etienne
2 Fraser, Jonathan MacDonald
2 Froese, Richard
2 Gao, Fan
2 Gekhtman, Ilya
...and 467 more Authors
all top 5

Cited in 157 Serials

37 Duke Mathematical Journal
26 Ergodic Theory and Dynamical Systems
23 Israel Journal of Mathematics
23 Transactions of the American Mathematical Society
22 Inventiones Mathematicae
18 Geometric and Functional Analysis. GAFA
15 Annales de l’Institut Fourier
15 Journal of Number Theory
14 Communications in Mathematical Physics
14 Advances in Mathematics
13 Bulletin of the American Mathematical Society. New Series
12 Mathematische Annalen
12 Mathematische Zeitschrift
12 Proceedings of the American Mathematical Society
11 Acta Mathematica
11 Compositio Mathematica
10 Publications Mathématiques
10 Journal of Functional Analysis
8 Geometriae Dedicata
8 Tôhoku Mathematical Journal. Second Series
8 Journal of the American Mathematical Society
7 Journal d’Analyse Mathématique
7 Mathematical Proceedings of the Cambridge Philosophical Society
6 Journal of Soviet Mathematics
6 Journal of Mathematical Sciences (New York)
5 Journal für die Reine und Angewandte Mathematik
5 Forum Mathematicum
5 Communications in Partial Differential Equations
5 Discrete and Continuous Dynamical Systems
5 Acta Mathematica Sinica. English Series
4 Journal of Mathematical Physics
4 The Mathematical Intelligencer
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Monatshefte für Mathematik
4 Selecta Mathematica. New Series
4 Conformal Geometry and Dynamics
4 Journal of Modern Dynamics
4 Journal of Spectral Theory
3 Bulletin of the Australian Mathematical Society
3 Arkiv för Matematik
3 Mathematics of Computation
3 Journal of Geometry and Physics
3 Glasgow Mathematical Journal
3 Differential Geometry and its Applications
3 The Journal of Geometric Analysis
3 Expositiones Mathematicae
3 Indagationes Mathematicae. New Series
3 Experimental Mathematics
3 Journal de Théorie des Nombres de Bordeaux
3 The Journal of Fourier Analysis and Applications
3 Annals of Mathematics. Second Series
3 Dynamical Systems
2 Computers & Mathematics with Applications
2 Journal of Mathematical Analysis and Applications
2 Mathematical Notes
2 Nuclear Physics. B
2 Acta Arithmetica
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Functiones et Approximatio. Commentarii Mathematici
2 Illinois Journal of Mathematics
2 Journal of Algebra
2 Journal of Computational and Applied Mathematics
2 Journal of the Mathematical Society of Japan
2 Mathematika
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Representation Theory
2 The Ramanujan Journal
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of the Institute of Mathematics of Jussieu
2 International Journal of Number Theory
2 Groups, Geometry, and Dynamics
2 Journal of Fractal Geometry
2 Research in Number Theory
1 American Mathematical Monthly
1 Centaurus
1 Computer Physics Communications
1 Discrete Mathematics
1 General Relativity and Gravitation
1 International Journal of Theoretical Physics
1 Nonlinearity
1 Reports on Mathematical Physics
1 Chaos, Solitons and Fractals
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica Vietnamica
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Commentarii Mathematici Helvetici
1 Functional Analysis and its Applications
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 Journal of the London Mathematical Society. Second Series
1 Journal of Pure and Applied Algebra
1 Kodai Mathematical Journal
1 Manuscripta Mathematica
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Pacific Journal of Mathematics
...and 57 more Serials
all top 5

Cited in 48 Fields

277 Number theory (11-XX)
166 Dynamical systems and ergodic theory (37-XX)
121 Topological groups, Lie groups (22-XX)
113 Functions of a complex variable (30-XX)
100 Global analysis, analysis on manifolds (58-XX)
82 Differential geometry (53-XX)
68 Group theory and generalizations (20-XX)
49 Partial differential equations (35-XX)
46 Measure and integration (28-XX)
22 Manifolds and cell complexes (57-XX)
22 Quantum theory (81-XX)
21 Several complex variables and analytic spaces (32-XX)
16 Probability theory and stochastic processes (60-XX)
15 Algebraic geometry (14-XX)
11 Operator theory (47-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
9 Combinatorics (05-XX)
9 Special functions (33-XX)
9 Abstract harmonic analysis (43-XX)
9 Relativity and gravitational theory (83-XX)
7 Nonassociative rings and algebras (17-XX)
7 Geometry (51-XX)
7 Convex and discrete geometry (52-XX)
6 History and biography (01-XX)
6 General topology (54-XX)
5 Field theory and polynomials (12-XX)
5 Associative rings and algebras (16-XX)
5 Functional analysis (46-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Potential theory (31-XX)
4 Integral transforms, operational calculus (44-XX)
4 Information and communication theory, circuits (94-XX)
3 Real functions (26-XX)
2 Ordinary differential equations (34-XX)
2 Statistics (62-XX)
1 Mathematical logic and foundations (03-XX)
1 Commutative algebra (13-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Algebraic topology (55-XX)
1 Numerical analysis (65-XX)
1 Geophysics (86-XX)
1 Mathematics education (97-XX)

Citations by Year

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