Edit Profile Patterson, Samuel James Compute Distance To: Compute Author ID: patterson.samuel-james Published as: Patterson, S. J.; Patterson, Samuel; Patterson, Samuel J.; Patterson, Samuel James External Links: MGP · Wikidata · GND Documents Indexed: 69 Publications since 1975, including 6 Books Reviewing Activity: 491 Reviews Biographic References: 2 Publications all top 5 Co-Authors 56 single-authored 3 Kazhdan, David A. 2 Piatetski-Shapiro, Ilya 1 Blomer, Valentin 1 Eckhard, C. 1 Goldfeld, Dorian Morris 1 Hayman, Walter Kurt 1 Heath-Brown, Roger 1 Hoffstein, Jeffrey 1 Huxley, Martin N. 1 Jutila, Matti Ilmari 1 Livné, Ron A. 1 Michel, Philippe Gabriel 1 Motohasi, Yoichi 1 Perry, Peter A. 1 Pommerenke, Christian all top 5 Serials 7 Journal für die Reine und Angewandte Mathematik 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Compositio Mathematica 3 Glasgow Mathematical Journal 3 Proceedings of the London Mathematical Society. Third Series 3 The Asian Journal of Mathematics 2 Publications Mathématiques 2 Mathematika 2 Experimental Mathematics 2 Oberwolfach Reports 2 Cambridge Studies in Advanced Mathematics 1 Bulletin of the Australian Mathematical Society 1 Arkiv för Matematik 1 Acta Arithmetica 1 Acta Mathematica 1 Advances in Mathematics 1 Archiv der Mathematik 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 The Journal of the Indian Mathematical Society. New Series 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 Tohoku Mathematical Journal. Second Series 1 Historia Mathematica 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Computational Methods and Function Theory all top 5 Fields 58 Number theory (11-XX) 17 Functions of a complex variable (30-XX) 12 Topological groups, Lie groups (22-XX) 6 Group theory and generalizations (20-XX) 5 History and biography (01-XX) 5 Algebraic geometry (14-XX) 5 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 General and overarching topics; collections (00-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 51 Publications have been cited 727 times in 544 Documents Cited by ▼ Year ▼ The limit set of a Fuchsian group. Zbl 0336.30005Patterson, S. J. 209 1976 Metaplectic forms. Zbl 0559.10026Kazhdan, D. A.; Patterson, S. J. 98 1984 The divisor of Selberg’s zeta function for Kleinian groups. Appendix A by Charles Epstein. Zbl 1012.11083Patterson, S. J.; Perry, Peter A. 56 2001 An introduction to the theory of the Riemann zeta-function. Zbl 0641.10029Patterson, S. J. 38 1988 A lattice-point problem in hyperbolic space. Zbl 0308.10013Patterson, S. J. 27 1975 The distribution of Kummer sums at prime arguments. Zbl 0412.10028Heath-Brown, D. R.; Patterson, S. J. 25 1979 Diophantine approximation in Fuchsian groups. Zbl 0338.10028Patterson, S. J. 23 1976 The Laplacian operator on a Riemann surface. Zbl 0321.30020Patterson, S. J. 23 1975 A cubic analogue of the theta series. Zbl 0358.10011Patterson, S. J. 21 1977 On a lattice-point problem in hyperbolic space and related questions in spectral theory. Zbl 0645.10040Patterson, S. J. 16 1988 Towards a generalized Shimura correspondence. Zbl 0616.10023Kazhdan, D. A.; Patterson, S. J. 16 1986 The exponent of convergence of Poincaré series. Zbl 0349.30012Patterson, S. J. 16 1976 On automorphic functions of half-integral weight with applications to elliptic curves. Zbl 0499.10029Goldfeld, D.; Hoffstein, J.; Patterson, S. J. 13 1982 The symmetric-square L-function attached to a cuspidal automorphic representation of \(GL_ 3\). Zbl 0645.22007Patterson, S. J.; Piatetski-Shapiro, Ilya I. 12 1989 Further remarks on the exponent of convergence of Poincaré series. Zbl 0505.20036Patterson, S. J. 11 1983 Spectral theory and Fuchsian groups. Zbl 0372.30015Patterson, S. J. 10 1977 Lectures on measures on limit sets of Kleinian groups. Zbl 0611.30036Patterson, S. J. 9 1987 The distribution of general Gauss sums and similar arithmetic functions at prime arguments. Zbl 0612.10030Patterson, S. J. 8 1987 An introduction to the theory of the Riemann zeta-function. 1st pbk ed. Zbl 0831.11045Patterson, S. J. 7 1995 A cubic analogue of the cuspidal theta representations. Zbl 0563.10022Patterson, S. J.; Piatetski-Shapiro, Ilya I. 7 1984 A cubic analogue of the theta series. II. Zbl 0358.10012Patterson, S. J. 7 1977 The Laplacian operator on a Riemann surface. III. Zbl 0342.30011Patterson, S. J. 7 1976 The Laplacian operator on a Riemann surface. II. Zbl 0321.30021Patterson, S. J. 7 1976 On the cohomology of Fuchsian groups. Zbl 0317.20029Patterson, S. J. 7 1975 The Selberg zeta-function of a Kleinian group. Zbl 0668.10036Patterson, S. J. 6 1989 Some examples of Fuchsian groups. Zbl 0393.30038Patterson, S. J. 5 1979 The asymptotic distribution of exponential sums. I. Zbl 1061.11046Patterson, S. J. 3 2003 The first moment of cubic exponential sums. Zbl 1039.11051Livné, R.; Patterson, S. J. 3 2002 On the Fourier coefficients of biquadratic theta series. Zbl 0725.11023Eckhard, C.; Patterson, S. J. 3 1992 Eisenstein and the quintic equation. Zbl 0699.01015Patterson, S. J. 3 1990 Metaplectic forms and Gauss sums. I. Zbl 0632.10030Patterson, S. J. 3 1987 On the distribution of Kummer sums. Zbl 0384.10017Patterson, S. J. 3 1978 On Dirichlet series associated with cubic Gauss sums. Zbl 0384.10016Patterson, S. J. 3 1978 The asymptotic distribution of exponential sums. II. Zbl 1148.11043Patterson, S. J. 2 2005 On the distribution of certain Hua sums. II. Zbl 1161.11371Patterson, S. J. 2 2002 On Ruelle’s zeta-function. Zbl 0721.58041Patterson, S. J. 2 1990 The distribution of general Gauss sums at prime arguments. Zbl 0463.10027Patterson, S. J. 2 1981 Note on a paper of J. Hoffstein. Zbl 1160.11020Patterson, S. J. 1 2007 On the distribution of some arithmetical functions. Zbl 1161.11370Patterson, S. J. 1 2006 On the distribution of certain Hua sums. Zbl 1107.11309Patterson, S. J. 1 2000 Abel’s theorem. Zbl 0952.01012Patterson, S. J. 1 1999 Uniformization and discontinuous groups. Zbl 0873.01017Patterson, Samuel 1 1997 The asymptotic distribution of Kloosterman sums. Zbl 0868.11036Patterson, S. J. 1 1997 Metric Diophantine approximation of quadratic forms. Zbl 0705.11041Patterson, S. J. 1 1989 A heuristic principle and applications to Gauss sums. Zbl 0669.10060Patterson, S. J. 1 1987 The Selberg zeta function of a Kleinian group. Zbl 0603.10029Patterson, S. J. 1 1986 Whittaker models of generalized theta series. Zbl 0563.10023Patterson, S. J. 1 1984 The constant term of the cubic theta series. Zbl 0484.10018Patterson, S. J. 1 1982 A footnote to ’On the coefficients of certain automorphic functions’. Zbl 0387.30025Patterson, S. J. 1 1978 On the coefficients of certain automorphic functions. Zbl 0373.30017Hayman, W. K.; Patterson, S. J.; Pommerenke, Ch. 1 1977 Ramified coverings of Riemann surfaces. Zbl 0351.30013Patterson, S. J. 1 1977 Note on a paper of J. Hoffstein. Zbl 1160.11020Patterson, S. J. 1 2007 On the distribution of some arithmetical functions. Zbl 1161.11370Patterson, S. J. 1 2006 The asymptotic distribution of exponential sums. II. Zbl 1148.11043Patterson, S. J. 2 2005 The asymptotic distribution of exponential sums. I. Zbl 1061.11046Patterson, S. J. 3 2003 The first moment of cubic exponential sums. Zbl 1039.11051Livné, R.; Patterson, S. J. 3 2002 On the distribution of certain Hua sums. II. Zbl 1161.11371Patterson, S. J. 2 2002 The divisor of Selberg’s zeta function for Kleinian groups. Appendix A by Charles Epstein. Zbl 1012.11083Patterson, S. J.; Perry, Peter A. 56 2001 On the distribution of certain Hua sums. Zbl 1107.11309Patterson, S. J. 1 2000 Abel’s theorem. Zbl 0952.01012Patterson, S. J. 1 1999 Uniformization and discontinuous groups. Zbl 0873.01017Patterson, Samuel 1 1997 The asymptotic distribution of Kloosterman sums. Zbl 0868.11036Patterson, S. J. 1 1997 An introduction to the theory of the Riemann zeta-function. 1st pbk ed. Zbl 0831.11045Patterson, S. J. 7 1995 On the Fourier coefficients of biquadratic theta series. Zbl 0725.11023Eckhard, C.; Patterson, S. J. 3 1992 Eisenstein and the quintic equation. Zbl 0699.01015Patterson, S. J. 3 1990 On Ruelle’s zeta-function. Zbl 0721.58041Patterson, S. J. 2 1990 The symmetric-square L-function attached to a cuspidal automorphic representation of \(GL_ 3\). Zbl 0645.22007Patterson, S. J.; Piatetski-Shapiro, Ilya I. 12 1989 The Selberg zeta-function of a Kleinian group. Zbl 0668.10036Patterson, S. J. 6 1989 Metric Diophantine approximation of quadratic forms. Zbl 0705.11041Patterson, S. J. 1 1989 An introduction to the theory of the Riemann zeta-function. Zbl 0641.10029Patterson, S. J. 38 1988 On a lattice-point problem in hyperbolic space and related questions in spectral theory. Zbl 0645.10040Patterson, S. J. 16 1988 Lectures on measures on limit sets of Kleinian groups. Zbl 0611.30036Patterson, S. J. 9 1987 The distribution of general Gauss sums and similar arithmetic functions at prime arguments. Zbl 0612.10030Patterson, S. J. 8 1987 Metaplectic forms and Gauss sums. I. Zbl 0632.10030Patterson, S. J. 3 1987 A heuristic principle and applications to Gauss sums. Zbl 0669.10060Patterson, S. J. 1 1987 Towards a generalized Shimura correspondence. Zbl 0616.10023Kazhdan, D. A.; Patterson, S. J. 16 1986 The Selberg zeta function of a Kleinian group. Zbl 0603.10029Patterson, S. J. 1 1986 Metaplectic forms. Zbl 0559.10026Kazhdan, D. A.; Patterson, S. J. 98 1984 A cubic analogue of the cuspidal theta representations. Zbl 0563.10022Patterson, S. J.; Piatetski-Shapiro, Ilya I. 7 1984 Whittaker models of generalized theta series. Zbl 0563.10023Patterson, S. J. 1 1984 Further remarks on the exponent of convergence of Poincaré series. Zbl 0505.20036Patterson, S. J. 11 1983 On automorphic functions of half-integral weight with applications to elliptic curves. Zbl 0499.10029Goldfeld, D.; Hoffstein, J.; Patterson, S. J. 13 1982 The constant term of the cubic theta series. Zbl 0484.10018Patterson, S. J. 1 1982 The distribution of general Gauss sums at prime arguments. Zbl 0463.10027Patterson, S. J. 2 1981 The distribution of Kummer sums at prime arguments. Zbl 0412.10028Heath-Brown, D. R.; Patterson, S. J. 25 1979 Some examples of Fuchsian groups. Zbl 0393.30038Patterson, S. J. 5 1979 On the distribution of Kummer sums. Zbl 0384.10017Patterson, S. J. 3 1978 On Dirichlet series associated with cubic Gauss sums. Zbl 0384.10016Patterson, S. J. 3 1978 A footnote to ’On the coefficients of certain automorphic functions’. Zbl 0387.30025Patterson, S. J. 1 1978 A cubic analogue of the theta series. Zbl 0358.10011Patterson, S. J. 21 1977 Spectral theory and Fuchsian groups. Zbl 0372.30015Patterson, S. J. 10 1977 A cubic analogue of the theta series. II. Zbl 0358.10012Patterson, S. J. 7 1977 On the coefficients of certain automorphic functions. Zbl 0373.30017Hayman, W. K.; Patterson, S. J.; Pommerenke, Ch. 1 1977 Ramified coverings of Riemann surfaces. Zbl 0351.30013Patterson, S. J. 1 1977 The limit set of a Fuchsian group. Zbl 0336.30005Patterson, S. J. 209 1976 Diophantine approximation in Fuchsian groups. Zbl 0338.10028Patterson, S. J. 23 1976 The exponent of convergence of Poincaré series. Zbl 0349.30012Patterson, S. J. 16 1976 The Laplacian operator on a Riemann surface. III. Zbl 0342.30011Patterson, S. J. 7 1976 The Laplacian operator on a Riemann surface. II. Zbl 0321.30021Patterson, S. J. 7 1976 A lattice-point problem in hyperbolic space. Zbl 0308.10013Patterson, S. J. 27 1975 The Laplacian operator on a Riemann surface. Zbl 0321.30020Patterson, S. J. 23 1975 On the cohomology of Fuchsian groups. Zbl 0317.20029Patterson, S. J. 7 1975 all cited Publications top 5 cited Publications all top 5 Cited by 526 Authors 17 Patterson, Samuel James 14 Bump, Daniel 13 Friedberg, Solomon 13 Ginzburg, David 12 Guillarmou, Colin 11 Oh, Hee 10 Hoffstein, Jeffrey 9 Stratmann, Bernd O. 8 Dyatlov, Semyon 8 Kontorovich, Alex V. 8 Naud, Frédéric 7 Borthwick, David 7 Brubaker, Ben 7 Perry, Peter A. 7 Pollicott, Mark 7 Proskurin, Nikolaĭ Vital’evich 7 Sarnak, Peter Clive 7 Urbański, Mariusz 6 Bourgain, Jean 6 Falk, Kurt 6 Matsuzaki, Katsuhiko 5 Gamburd, Alexander 5 Gao, Peng 5 Link, Gabriele 5 Peigné, Marc 5 Sharp, Richard W. 5 Sullivan, Dennis Parnell 5 Zhao, Liangyi 5 Zworski, Maciej 4 Chatzakos, Dimitrios 4 Jakobson, Dmitry 4 Kaplan, Eyal 4 Kazhdan, David A. 4 Kesseböhmer, Marc 4 Lapidus, Michel L. 4 Michel, Philippe Gabriel 4 Pohl, Anke D. 4 Rallis, Stephen James 4 Szpruch, Dani 4 Tukia, Pekka 4 Velani, Sanju L. 4 Weich, Tobias 3 Albin, Pierre 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 Lieman, Daniel B. 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 Simmons, David 3 Stadlbauer, Manuel 3 Tomaschitz, Roman 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 Boyer, Adrien 2 Bridgeman, Martin J. 2 Buciumas, Valentin 2 Butzer, Paul Leo 2 Cai, Yuanqing 2 Carron, Gilles 2 Christian, Ulrich 2 Connell, Chris 2 Cordeiro, Gauss Moutinho 2 Corlette, Kevin 2 Cornelissen, Gunther 2 Cribari-Neto, Francisco 2 Dal’bo, Françoise 2 Ferrari, Silvia Lopes de Paula 2 Fouvry, Etienne 2 Froese, Richard 2 Gao, Fan 2 Gekhtman, Ilya 2 Gelbart, Stephen S. 2 Ghosh, Anish 2 Gorodnik, Alexander 2 Gunawan, Emily 2 Hassell, Andrew 2 Hilgert, Joachim 2 Hislop, Peter D. 2 Huang, Jing-Song 2 Inoue, Katsumi 2 Intissar, Ahmed 2 Iommi, Godofredo 2 Izeki, Hiroyasu ...and 426 more Authors all top 5 Cited in 140 Serials 36 Duke Mathematical Journal 23 Israel Journal of Mathematics 22 Inventiones Mathematicae 22 Transactions of the American Mathematical Society 21 Ergodic Theory and Dynamical Systems 15 Annales de l’Institut Fourier 15 Journal of Number Theory 15 Geometric and Functional Analysis. GAFA 14 Communications in Mathematical Physics 13 Advances in Mathematics 13 Bulletin of the American Mathematical Society. New Series 12 Mathematische Annalen 11 Acta Mathematica 11 Mathematische Zeitschrift 11 Proceedings of the American Mathematical Society 10 Compositio Mathematica 10 Publications Mathématiques 10 Journal of Functional Analysis 8 Tohoku Mathematical Journal. Second Series 8 Journal of the American Mathematical Society 7 Journal d’Analyse Mathématique 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Geometriae Dedicata 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 4 Journal of Mathematical Physics 4 The Mathematical Intelligencer 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Conformal Geometry and Dynamics 4 Acta Mathematica Sinica. English Series 4 Journal of Spectral Theory 3 Arkiv för Matematik 3 Mathematics of Computation 3 Journal of Geometry and Physics 3 Glasgow Mathematical Journal 3 Monatshefte für Mathematik 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 Selecta Mathematica. New Series 3 The Journal of Fourier Analysis and Applications 3 Annals of Mathematics. Second Series 3 Dynamical Systems 3 Journal of Modern Dynamics 2 Bulletin of the Australian Mathematical Society 2 Computers & Mathematics with Applications 2 Journal of Mathematical Analysis and Applications 2 Mathematical Notes 2 Nuclear Physics. B 2 Acta Arithmetica 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 Centaurus 1 Computer Physics Communications 1 Discrete Mathematics 1 General Relativity and Gravitation 1 International Journal of Theoretical Physics 1 Chaos, Solitons and Fractals 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali di Matematica Pura ed Applicata. Serie Quarta 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 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics ...and 40 more Serials all top 5 Cited in 47 Fields 260 Number theory (11-XX) 143 Dynamical systems and ergodic theory (37-XX) 114 Topological groups, Lie groups (22-XX) 103 Functions of a complex variable (30-XX) 96 Global analysis, analysis on manifolds (58-XX) 80 Differential geometry (53-XX) 59 Group theory and generalizations (20-XX) 47 Partial differential equations (35-XX) 42 Measure and integration (28-XX) 21 Manifolds and cell complexes (57-XX) 21 Quantum theory (81-XX) 17 Several complex variables and analytic spaces (32-XX) 13 Algebraic geometry (14-XX) 13 Probability theory and stochastic processes (60-XX) 10 Operator theory (47-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Abstract harmonic analysis (43-XX) 8 Combinatorics (05-XX) 8 Special functions (33-XX) 8 Relativity and gravitational theory (83-XX) 7 Nonassociative rings and algebras (17-XX) 6 History and biography (01-XX) 6 Geometry (51-XX) 6 Convex and discrete geometry (52-XX) 5 Field theory and polynomials (12-XX) 5 Associative rings and algebras (16-XX) 5 General topology (54-XX) 4 Potential theory (31-XX) 4 Integral transforms, operational calculus (44-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Information and communication theory, circuits (94-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Ordinary differential equations (34-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 Numerical analysis (65-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.