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Patterson, Samuel James

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: 70 Publications since 1975, including 6 Books and 1 Additional arXiv Preprint
4 Contributions as Editor · 1 Further Contribution
Reviewing Activity: 493 Reviews
Biographic References: 2 Publications
Co-Authors: 17 Co-Authors with 15 Joint Publications
770 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

55 Publications have been cited 931 times in 698 Documents Cited by Year
The limit set of a Fuchsian group. Zbl 0336.30005
Patterson, S. J.
274
1976
Metaplectic forms. Zbl 0559.10026
Kazhdan, D. A.; Patterson, S. J.
120
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.
64
2001
An introduction to the theory of the Riemann zeta-function. Zbl 0641.10029
Patterson, S. J.
46
1988
The Laplacian operator on a Riemann surface. Zbl 0321.30020
Patterson, S. J.
39
1975
The distribution of Kummer sums at prime arguments. Zbl 0412.10028
Heath-Brown, D. R.; Patterson, S. J.
35
1979
A lattice-point problem in hyperbolic space. Zbl 0308.10013
Patterson, S. J.
35
1975
The shaping of arithmetic after C.F. Gauss’s Disquisitiones Arithmeticae. Zbl 1149.01001
33
2007
Diophantine approximation in Fuchsian groups. Zbl 0338.10028
Patterson, S. J.
28
1976
A cubic analogue of the theta series. Zbl 0358.10011
Patterson, S. J.
25
1977
On a lattice-point problem in hyperbolic space and related questions in spectral theory. Zbl 0645.10040
Patterson, S. J.
21
1988
Towards a generalized Shimura correspondence. Zbl 0616.10023
Kazhdan, D. A.; Patterson, S. J.
18
1986
The exponent of convergence of Poincaré series. Zbl 0349.30012
Patterson, S. J.
17
1976
The distribution of general Gauss sums and similar arithmetic functions at prime arguments. Zbl 0612.10030
Patterson, S. J.
17
1987
On automorphic functions of half-integral weight with applications to elliptic curves. Zbl 0499.10029
Goldfeld, D.; Hoffstein, J.; Patterson, S. J.
15
1982
The symmetric-square L-function attached to a cuspidal automorphic representation of \(GL_ 3\). Zbl 0645.22007
Patterson, S. J.; Piatetski-Shapiro, Ilya I.
14
1989
Lectures on measures on limit sets of Kleinian groups. Zbl 0611.30036
Patterson, S. J.
14
1987
Further remarks on the exponent of convergence of Poincaré series. Zbl 0505.20036
Patterson, S. J.
13
1983
Spectral theory and Fuchsian groups. Zbl 0372.30015
Patterson, S. J.
11
1977
The Laplacian operator on a Riemann surface. II. Zbl 0321.30021
Patterson, S. J.
10
1976
A cubic analogue of the theta series. II. Zbl 0358.10012
Patterson, S. J.
9
1977
The Selberg zeta-function of a Kleinian group. Zbl 0668.10036
Patterson, S. J.
9
1989
The Laplacian operator on a Riemann surface. III. Zbl 0342.30011
Patterson, S. J.
9
1976
On the cohomology of Fuchsian groups. Zbl 0317.20029
Patterson, S. J.
8
1975
An introduction to the theory of the Riemann zeta-function. 1st pbk ed. Zbl 0831.11045
Patterson, S. J.
8
1995
A cubic analogue of the cuspidal theta representations. Zbl 0563.10022
Patterson, S. J.; Piatetski-Shapiro, Ilya I.
7
1984
Some examples of Fuchsian groups. Zbl 0393.30038
Patterson, S. J.
6
1979
Metaplectic forms and Gauss sums. I. Zbl 0632.10030
Patterson, S. J.
5
1987
On the distribution of Kummer sums. Zbl 0384.10017
Patterson, S. J.
5
1978
On Ruelle’s zeta-function. Zbl 0721.58041
Patterson, S. J.
4
1990
Note on a paper of J. Hoffstein. Zbl 1160.11020
Patterson, S. J.
4
2007
A course of modern analysis. An introduction to the general theory of infinite processes and of analytic functions with an account of the principal transcendental functions. Edited and prepared for publication by Victor H. Moll. With a new foreword by S. J. Patterson. 5th edition. Zbl 1468.30001
Whittaker, Edmund Taylor; Watson, George Neville
4
2021
The asymptotic distribution of exponential sums. II. Zbl 1148.11043
Patterson, S. J.
3
2005
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
The distribution of general Gauss sums at prime arguments. Zbl 0463.10027
Patterson, S. J.
3
1981
The asymptotic distribution of exponential sums. I. Zbl 1061.11046
Patterson, S. J.
3
2003
On the distribution of certain Hua sums. II. Zbl 1161.11371
Patterson, S. J.
3
2002
The first moment of cubic exponential sums. Zbl 1039.11051
Livné, R.; Patterson, S. J.
3
2002
On Dirichlet series associated with cubic Gauss sums. Zbl 0384.10016
Patterson, S. J.
3
1978
The constant term of the cubic theta series. Zbl 0484.10018
Patterson, S. J.
2
1982
Whittaker models of generalized theta series. Zbl 0563.10023
Patterson, S. J.
2
1984
A footnote to ’On the coefficients of certain automorphic functions’. Zbl 0387.30025
Patterson, S. J.
2
1978
On the distribution of some arithmetical functions. Zbl 1161.11370
Patterson, S. J.
1
2006
Uniformization and discontinuous groups. (Uniformisierung und diskontinuierliche Gruppen.) Zbl 0873.01017
Patterson, Samuel
1
1997
Metric Diophantine approximation of quadratic forms. Zbl 0705.11041
Patterson, S. J.
1
1989
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
A heuristic principle and applications to Gauss sums. Zbl 0669.10060
Patterson, S. J.
1
1987
The Selberg zeta function of a Kleinian group. Zbl 0603.10029
Patterson, S. J.
1
1986
The asymptotic distribution of Kloosterman sums. Zbl 0868.11036
Patterson, S. J.
1
1997
Abel’s theorem. Zbl 0952.01012
Patterson, S. J.
1
1999
Introduction to function theory. Edited by Ralf Meyer and Samuel J. Patterson. (Einführung in die Funktionentheorie.) Zbl 1152.01011
Weyl, Hermann
1
2008
On the coefficients of certain automorphic functions. Zbl 0373.30017
Hayman, W. K.; Patterson, S. J.; Pommerenke, Ch.
1
1977
Corrigendum to: “A lattice-point problem in hyperbolic space”. Zbl 0341.10022
Patterson, S. J.
1
1976
A course of modern analysis. An introduction to the general theory of infinite processes and of analytic functions with an account of the principal transcendental functions. Edited and prepared for publication by Victor H. Moll. With a new foreword by S. J. Patterson. 5th edition. Zbl 1468.30001
Whittaker, Edmund Taylor; Watson, George Neville
4
2021
Introduction to function theory. Edited by Ralf Meyer and Samuel J. Patterson. (Einführung in die Funktionentheorie.) Zbl 1152.01011
Weyl, Hermann
1
2008
The shaping of arithmetic after C.F. Gauss’s Disquisitiones Arithmeticae. Zbl 1149.01001
33
2007
Note on a paper of J. Hoffstein. Zbl 1160.11020
Patterson, S. J.
4
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.
3
2005
The asymptotic distribution of exponential sums. I. Zbl 1061.11046
Patterson, S. J.
3
2003
On the distribution of certain Hua sums. II. Zbl 1161.11371
Patterson, S. J.
3
2002
The first moment of cubic exponential sums. Zbl 1039.11051
Livné, R.; Patterson, S. J.
3
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.
64
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.
8
1995
On the Fourier coefficients of biquadratic theta series. Zbl 0725.11023
Eckhard, C.; Patterson, S. J.
3
1992
On Ruelle’s zeta-function. Zbl 0721.58041
Patterson, S. J.
4
1990
Eisenstein and the quintic equation. Zbl 0699.01015
Patterson, S. J.
3
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.
14
1989
The Selberg zeta-function of a Kleinian group. Zbl 0668.10036
Patterson, S. J.
9
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.
46
1988
On a lattice-point problem in hyperbolic space and related questions in spectral theory. Zbl 0645.10040
Patterson, S. J.
21
1988
The distribution of general Gauss sums and similar arithmetic functions at prime arguments. Zbl 0612.10030
Patterson, S. J.
17
1987
Lectures on measures on limit sets of Kleinian groups. Zbl 0611.30036
Patterson, S. J.
14
1987
Metaplectic forms and Gauss sums. I. Zbl 0632.10030
Patterson, S. J.
5
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.
18
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.
120
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.
2
1984
Further remarks on the exponent of convergence of Poincaré series. Zbl 0505.20036
Patterson, S. J.
13
1983
On automorphic functions of half-integral weight with applications to elliptic curves. Zbl 0499.10029
Goldfeld, D.; Hoffstein, J.; Patterson, S. J.
15
1982
The constant term of the cubic theta series. Zbl 0484.10018
Patterson, S. J.
2
1982
The distribution of general Gauss sums at prime arguments. Zbl 0463.10027
Patterson, S. J.
3
1981
The distribution of Kummer sums at prime arguments. Zbl 0412.10028
Heath-Brown, D. R.; Patterson, S. J.
35
1979
Some examples of Fuchsian groups. Zbl 0393.30038
Patterson, S. J.
6
1979
On the distribution of Kummer sums. Zbl 0384.10017
Patterson, S. J.
5
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.
2
1978
A cubic analogue of the theta series. Zbl 0358.10011
Patterson, S. J.
25
1977
Spectral theory and Fuchsian groups. Zbl 0372.30015
Patterson, S. J.
11
1977
A cubic analogue of the theta series. II. Zbl 0358.10012
Patterson, S. J.
9
1977
Ramified coverings of Riemann surfaces. Zbl 0351.30013
Patterson, S. J.
1
1977
On the coefficients of certain automorphic functions. Zbl 0373.30017
Hayman, W. K.; Patterson, S. J.; Pommerenke, Ch.
1
1977
The limit set of a Fuchsian group. Zbl 0336.30005
Patterson, S. J.
274
1976
Diophantine approximation in Fuchsian groups. Zbl 0338.10028
Patterson, S. J.
28
1976
The exponent of convergence of Poincaré series. Zbl 0349.30012
Patterson, S. J.
17
1976
The Laplacian operator on a Riemann surface. II. Zbl 0321.30021
Patterson, S. J.
10
1976
The Laplacian operator on a Riemann surface. III. Zbl 0342.30011
Patterson, S. J.
9
1976
Corrigendum to: “A lattice-point problem in hyperbolic space”. Zbl 0341.10022
Patterson, S. J.
1
1976
The Laplacian operator on a Riemann surface. Zbl 0321.30020
Patterson, S. J.
39
1975
A lattice-point problem in hyperbolic space. Zbl 0308.10013
Patterson, S. J.
35
1975
On the cohomology of Fuchsian groups. Zbl 0317.20029
Patterson, S. J.
8
1975
all top 5

Cited by 687 Authors

19 Oh, Hee
17 Patterson, Samuel James
14 Bump, Daniel
14 Friedberg, Solomon
14 Ginzburg, David
13 Guillarmou, Colin
12 Gao, Peng
12 Kontorovich, Alex V.
12 Zhao, Liangyi
11 Hoffstein, Jeffrey
10 Urbański, Mariusz
9 Naud, Frédéric
9 Stratmann, Bernd O.
9 Weich, Tobias
8 Dyatlov, Semyon
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 Fraser, Jonathan MacDonald
6 Gamburd, Alexander
6 Kaplan, Eyal
6 Matsuzaki, Katsuhiko
6 Peigné, Marc
6 Pohl, Anke D.
6 Szpruch, Dani
5 Chatzakos, Dimitrios
5 Kesseböhmer, Marc
5 Lapidus, Michel L.
5 Link, Gabriele
5 Sharp, Richard W.
5 Simmons, David
5 Sullivan, Dennis Parnell
5 Zworski, Maciej
4 Cai, Yuanqing
4 Canary, Richard D.
4 Edwards, Sam
4 Ghosh, Anish
4 Jakobson, Dmitry
4 Kazhdan, David
4 Michel, Philippe Gabriel
4 Rallis, Stephen James
4 Tomaschitz, Roman
4 Tukia, Pekka
4 Velani, Sanju L.
3 Abreu, Luís Daniel
3 Albin, Pierre
3 Boyer, Adrien
3 Bray, Harrison
3 Burger, Marc
3 Butzer, Paul Leo
3 Bytsenko, Andrei A.
3 Chamizo Lorente, Fernando
3 Connes, Alain
3 Das, Tushar Kanti
3 Denker, Manfred
3 Do, Viet Cuong
3 Fishman, Lior
3 Flicker, Yuval Z.
3 Furusawa, Harushi
3 Guillopé, Laurent
3 Hilgert, Joachim
3 Hill, Richard Michael
3 Jaerisch, Johannes
3 Kaimanovich, Vadim A.
3 Kowalski, Emmanuel
3 Lagarias, Jeffrey C.
3 Lazowski, Andrew
3 Lee, Minju
3 Lieman, Daniel B.
3 Liu, Fei
3 Magee, Michael
3 Mohammadi, Amir
3 Petridis, Yiannis N.
3 Phillips, Ralph Saul
3 Roblin, Thomas
3 Sambarino, Andrés
3 Savin, Gordan
3 Schlenker, Jean-Marc
3 Soares, Louis
3 Stadlbauer, Manuel
3 Stuart, Liam
3 Wang, Fang
3 Wolf, Lasse Lennart
3 Yang, Wenyuan
3 Young, Matthew P.
2 Adams, Jeffrey David
2 Akaza, Tohru
2 Babillot, Martine
2 Balasubramanian, Kumar
2 Banks, William David
2 Berg, Michael C.
2 Bishop, Christopher James
2 Bonfert-Taylor, Petra
2 Bridgeman, Martin J.
2 Buciumas, Valentin
...and 587 more Authors
all top 5

Cited in 176 Serials

38 Duke Mathematical Journal
30 Ergodic Theory and Dynamical Systems
25 Transactions of the American Mathematical Society
24 Israel Journal of Mathematics
24 Inventiones Mathematicae
19 Journal of Number Theory
18 Advances in Mathematics
18 Geometric and Functional Analysis. GAFA
15 Communications in Mathematical Physics
15 Annales de l’Institut Fourier
15 Mathematische Zeitschrift
14 Bulletin of the American Mathematical Society. New Series
13 Mathematische Annalen
12 Compositio Mathematica
12 Geometriae Dedicata
12 Proceedings of the American Mathematical Society
11 Acta Mathematica
10 Publications Mathématiques
10 Journal of Functional Analysis
8 Journal d’Analyse Mathématique
8 Tôhoku Mathematical Journal. Second Series
8 Journal of the American Mathematical Society
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Journal für die Reine und Angewandte Mathematik
7 Journal of Mathematical Sciences (New York)
6 Bulletin de la Société Mathématique de France
6 Journal of Soviet Mathematics
6 Journal of Modern Dynamics
5 Forum Mathematicum
5 Communications in Partial Differential Equations
5 Selecta Mathematica. New Series
5 Discrete and Continuous Dynamical Systems
5 Acta Mathematica Sinica. English Series
4 Journal of Mathematical Physics
4 Journal of Geometry and Physics
4 The Mathematical Intelligencer
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Functiones et Approximatio. Commentarii Mathematici
4 Mathematika
4 Monatshefte für Mathematik
4 Indagationes Mathematicae. New Series
4 Conformal Geometry and Dynamics
4 Journal of the Institute of Mathematics of Jussieu
4 Journal of Spectral Theory
3 Bulletin of the Australian Mathematical Society
3 Journal of Mathematical Analysis and Applications
3 Nuclear Physics. B
3 Arkiv för Matematik
3 Mathematics of Computation
3 Acta Arithmetica
3 Glasgow Mathematical Journal
3 Journal of the London Mathematical Society. Second Series
3 Journal of the Mathematical Society of Japan
3 Memoirs of the American Mathematical Society
3 Pacific Journal of Mathematics
3 Differential Geometry and its Applications
3 The Journal of Geometric Analysis
3 Annals of Physics
3 Expositiones Mathematicae
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
3 Oberwolfach Reports
3 EMS Surveys in Mathematical Sciences
3 Journal of Fractal Geometry
3 Research in Number Theory
2 Computers & Mathematics with Applications
2 Mathematical Notes
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Canadian Journal of Mathematics
2 Commentarii Mathematici Helvetici
2 Illinois Journal of Mathematics
2 Journal of Algebra
2 Journal of Computational and Applied Mathematics
2 Manuscripta Mathematica
2 Michigan Mathematical Journal
2 Proceedings of the London Mathematical Society. Third Series
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Annals of Global Analysis and Geometry
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 Finite Fields and their Applications
2 Documenta Mathematica
2 Representation Theory
2 The Ramanujan Journal
2 Geometry & Topology
2 Journal of High Energy Physics
2 Algebraic & Geometric Topology
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 International Journal of Number Theory
2 Groups, Geometry, and Dynamics
2 Algebra & Number Theory
2 Analysis & PDE
2 Bulletin of Mathematical Sciences
1 American Mathematical Monthly
1 Centaurus
...and 76 more Serials
all top 5

Cited in 49 Fields

338 Number theory (11-XX)
203 Dynamical systems and ergodic theory (37-XX)
151 Topological groups, Lie groups (22-XX)
127 Functions of a complex variable (30-XX)
118 Global analysis, analysis on manifolds (58-XX)
95 Differential geometry (53-XX)
84 Group theory and generalizations (20-XX)
53 Measure and integration (28-XX)
52 Partial differential equations (35-XX)
31 Quantum theory (81-XX)
27 Manifolds and cell complexes (57-XX)
22 Several complex variables and analytic spaces (32-XX)
20 Probability theory and stochastic processes (60-XX)
19 Algebraic geometry (14-XX)
14 Operator theory (47-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
13 Abstract harmonic analysis (43-XX)
12 Combinatorics (05-XX)
11 Convex and discrete geometry (52-XX)
10 Special functions (33-XX)
10 Geometry (51-XX)
10 Relativity and gravitational theory (83-XX)
8 History and biography (01-XX)
8 Functional analysis (46-XX)
7 Nonassociative rings and algebras (17-XX)
6 Associative rings and algebras (16-XX)
6 General topology (54-XX)
5 Field theory and polynomials (12-XX)
5 Potential theory (31-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Integral transforms, operational calculus (44-XX)
4 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 Real functions (26-XX)
2 Mathematical logic and foundations (03-XX)
2 \(K\)-theory (19-XX)
2 Approximations and expansions (41-XX)
2 Statistics (62-XX)
1 Commutative algebra (13-XX)
1 Category theory; homological algebra (18-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-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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