Edit Profile (opens in new tab) Rumely, Robert S. Co-Author Distance Author ID: rumely.robert-s Published as: Rumely, Robert; Rumely, Robert S.; Rumely, R. S.; Rumely, R. more...less External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 36 Publications since 1980, including 4 Books and 2 Additional arXiv Preprints Co-Authors: 13 Co-Authors with 17 Joint Publications 432 Co-Co-Authors all top 5 Co-Authors 19 single-authored 4 Baker, Matthew H. 3 Chinburg, Ted 3 Lau, Chi Fong 3 van der Poorten, Alfred J. 1 Adleman, Leonard Max 1 DeMarco, Laura Grace 1 Doyle, John R. 1 Ih, Su-ion 1 Jacobs, Kenneth S. 1 Pomerance, Carl Bernard 1 Ramaré, Olivier 1 Varley, Robert 1 Winburn, Stephen all top 5 Serials 3 Acta Arithmetica 3 Journal für die Reine und Angewandte Mathematik 2 Mathematics of Computation 2 Duke Mathematical Journal 2 Transactions of the American Mathematical Society 2 Mathematical Surveys and Monographs 2 Algebra & Number Theory 1 Bulletin of the Australian Mathematical Society 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Journal of the Australian Mathematical Society. Series A 1 Notices of the American Mathematical Society 1 Annals of Mathematics. Second Series 1 Lecture Notes in Mathematics 1 Research in Number Theory all top 5 Fields 27 Number theory (11-XX) 14 Algebraic geometry (14-XX) 9 Potential theory (31-XX) 8 Dynamical systems and ergodic theory (37-XX) 4 Functions of a complex variable (30-XX) 3 Field theory and polynomials (12-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 1 Combinatorics (05-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 656 times in 495 Documents Cited by ▼ Year ▼ Potential theory and dynamics on the Berkovich projective line. Zbl 1196.14002 Baker, Matthew; Rumely, Robert 135 2010 Primes in arithmetic progressions. Zbl 0856.11042 Ramaré, Olivier; Rumely, Robert 61 1996 On distinguishing prime numbers from composite numbers. Zbl 0526.10004 Adleman, Leonard M.; Pomerance, Carl; Rumely, Robert S. 60 1983 Capacity theory on algebraic curves. Zbl 0679.14012 Rumely, Robert S. 57 1989 Equidistribution of small points, rational dynamics, and potential theory. Zbl 1234.11082 Baker, Matthew H.; Rumely, Robert 48 2006 Arithmetic over the ring of all algebraic integers. Zbl 0581.14014 Rumely, Robert S. 35 1986 The capacity pairing. Zbl 0756.14013 Chinburg, Ted; Rumely, Robert 31 1993 Harmonic analysis on metrized graphs. Zbl 1123.43006 Baker, Matt; Rumely, Robert 29 2007 Undecidability and definability for the theory of global fields. Zbl 0472.03010 Rumely, R. S. 24 1980 Existence of the sectional capacity. Zbl 0987.14018 Rumely, Robert; Lau, Chi Fong; Varley, Robert 20 2000 Numerical computations concerning the ERH. Zbl 0792.11034 Rumely, Robert 19 1993 Notes on van der Poorten’s proof of the Hadamard quotient theorem. I, II. Zbl 0661.10017 Rumely, Robert 16 1988 A finiteness property of torsion points. Zbl 1182.11030 Baker, Matthew; Ih, Su-ion; Rumely, Robert 11 2008 On Bilu’s equidistribution theorem. Zbl 1029.11030 Rumely, Robert 11 1999 The minimal resultant locus. Zbl 1379.37148 Rumely, Robert 10 2015 Transfinite diameter and the resultant. Zbl 1131.37054 DeMarco, Laura; Rumely, Robert 8 2007 A Robin formula for the Fekete-Leja transfinite diameter. Zbl 1127.31003 Rumely, Robert 7 2007 Arithmetic capacities on \(\mathbb{P}^ N\). Zbl 0794.31008 Rumely, Robert; Lau, Chi Fong 7 1994 Capacity theory with local rationality. The strong Fekete-Szegő theorem on curves. Zbl 1348.31004 Rumely, Robert 7 2013 Zeros of \(p\)-adic exponential polynomials. II. Zbl 0633.12006 van der Poorten, A. J.; Rumely, Robert S. 6 1987 The Fekete-Szegő theorem with splitting conditions. II. Zbl 1126.11342 Rumely, Robert 6 2002 Capacity theory and arithmetic intersection theory. Zbl 1026.11056 Chinburg, Ted; Lau, Chi Fong; Rumely, Robert 5 2003 A note on the Hadamard \(k\)th root of a rational function. Zbl 0635.10008 Rumely, Robert S.; van der Poorten, A. J. 5 1987 On the relation between Cantor’s capacity and the sectional capacity. Zbl 0808.14023 Rumely, Robert 5 1993 Configuration of the crucial set for a quadratic rational map. Zbl 1391.37086 Doyle, John R.; Jacobs, Kenneth; Rumely, Robert 5 2016 A new equivariant in nonarchimedean dynamics. Zbl 1392.37119 Rumely, Robert 5 2017 An intersection pairing for curves, with analytic contributions from nonarchimedean places. Zbl 0859.11037 Rumely, Robert 4 1995 Well-adjusted models for curves over Dedekind rings. Zbl 0734.14003 Chinburg, T.; Rumely, R. 3 1991 Capacity theory on algebraic curves and canonical heights. Zbl 0623.14011 Rumely, Robert 3 1985 A formula for the Größencharacter of a parametrized elliptic curve. Zbl 0538.14032 Rumely, Robert S. 3 1983 Remarks on generalised power sums. Zbl 0615.10018 Rumely, Robert S.; van der Poorten, A. J. 2 1987 On the Größencharakter of an abelian variety in a parametrized family. Zbl 0573.14016 Rumely, Robert S. 2 1983 The Fekete-Szegő theorem with splitting conditions. I. Zbl 0946.11025 Rumely, Robert 2 2000 A new equivariant in nonarchimedean dynamics. Zbl 1392.37119 Rumely, Robert 5 2017 Configuration of the crucial set for a quadratic rational map. Zbl 1391.37086 Doyle, John R.; Jacobs, Kenneth; Rumely, Robert 5 2016 The minimal resultant locus. Zbl 1379.37148 Rumely, Robert 10 2015 Capacity theory with local rationality. The strong Fekete-Szegő theorem on curves. Zbl 1348.31004 Rumely, Robert 7 2013 Potential theory and dynamics on the Berkovich projective line. Zbl 1196.14002 Baker, Matthew; Rumely, Robert 135 2010 A finiteness property of torsion points. Zbl 1182.11030 Baker, Matthew; Ih, Su-ion; Rumely, Robert 11 2008 Harmonic analysis on metrized graphs. Zbl 1123.43006 Baker, Matt; Rumely, Robert 29 2007 Transfinite diameter and the resultant. Zbl 1131.37054 DeMarco, Laura; Rumely, Robert 8 2007 A Robin formula for the Fekete-Leja transfinite diameter. Zbl 1127.31003 Rumely, Robert 7 2007 Equidistribution of small points, rational dynamics, and potential theory. Zbl 1234.11082 Baker, Matthew H.; Rumely, Robert 48 2006 Capacity theory and arithmetic intersection theory. Zbl 1026.11056 Chinburg, Ted; Lau, Chi Fong; Rumely, Robert 5 2003 The Fekete-Szegő theorem with splitting conditions. II. Zbl 1126.11342 Rumely, Robert 6 2002 Existence of the sectional capacity. Zbl 0987.14018 Rumely, Robert; Lau, Chi Fong; Varley, Robert 20 2000 The Fekete-Szegő theorem with splitting conditions. I. Zbl 0946.11025 Rumely, Robert 2 2000 On Bilu’s equidistribution theorem. Zbl 1029.11030 Rumely, Robert 11 1999 Primes in arithmetic progressions. Zbl 0856.11042 Ramaré, Olivier; Rumely, Robert 61 1996 An intersection pairing for curves, with analytic contributions from nonarchimedean places. Zbl 0859.11037 Rumely, Robert 4 1995 Arithmetic capacities on \(\mathbb{P}^ N\). Zbl 0794.31008 Rumely, Robert; Lau, Chi Fong 7 1994 The capacity pairing. Zbl 0756.14013 Chinburg, Ted; Rumely, Robert 31 1993 Numerical computations concerning the ERH. Zbl 0792.11034 Rumely, Robert 19 1993 On the relation between Cantor’s capacity and the sectional capacity. Zbl 0808.14023 Rumely, Robert 5 1993 Well-adjusted models for curves over Dedekind rings. Zbl 0734.14003 Chinburg, T.; Rumely, R. 3 1991 Capacity theory on algebraic curves. Zbl 0679.14012 Rumely, Robert S. 57 1989 Notes on van der Poorten’s proof of the Hadamard quotient theorem. I, II. Zbl 0661.10017 Rumely, Robert 16 1988 Zeros of \(p\)-adic exponential polynomials. II. Zbl 0633.12006 van der Poorten, A. J.; Rumely, Robert S. 6 1987 A note on the Hadamard \(k\)th root of a rational function. Zbl 0635.10008 Rumely, Robert S.; van der Poorten, A. J. 5 1987 Remarks on generalised power sums. Zbl 0615.10018 Rumely, Robert S.; van der Poorten, A. J. 2 1987 Arithmetic over the ring of all algebraic integers. Zbl 0581.14014 Rumely, Robert S. 35 1986 Capacity theory on algebraic curves and canonical heights. Zbl 0623.14011 Rumely, Robert 3 1985 On distinguishing prime numbers from composite numbers. Zbl 0526.10004 Adleman, Leonard M.; Pomerance, Carl; Rumely, Robert S. 60 1983 A formula for the Größencharacter of a parametrized elliptic curve. Zbl 0538.14032 Rumely, Robert S. 3 1983 On the Größencharakter of an abelian variety in a parametrized family. Zbl 0573.14016 Rumely, Robert S. 2 1983 Undecidability and definability for the theory of global fields. Zbl 0472.03010 Rumely, R. S. 24 1980 all cited Publications top 5 cited Publications all top 5 Cited by 495 Authors 12 Okuyama, Yûsuke 11 DeMarco, Laura Grace 11 Rumely, Robert S. 9 Ramaré, Olivier 8 Ghioca, Dragos 8 Petsche, Clayton 7 Boucksom, Sébastien 7 de Jong, Robin 7 Favre, Charles 7 Shlapentokh, Alexandra 7 Tucker, Thomas John 6 Baker, Matthew H. 6 Chen, Jeng-Tzong 6 Fan, Shilei 6 Jonsson, Mattias 6 Nie, Hongming 6 Shokrieh, Farbod 6 Wang, Yuefei 5 Bézivin, Jean-Paul 5 Bonnet, Guy 5 Chinburg, Ted 5 Cinkir, Zubeyir 5 Corfdir, Alain 5 Faber, Xander 5 Fili, Paul A. 5 Ingram, Patrick 5 Kao, Shing-Kai 5 Kiwi, Jan 5 Kuo, Shyh-Rong 5 Laishram, Shanta 5 Pritsker, Igor E. 5 Shparlinski, Igor E. 5 van der Poorten, Alfred J. 5 Zannier, Umberto M. 4 Benedetto, Robert L. 4 Chambert-Loir, Antoine 4 Gubler, Walter Bruno 4 Ih, Su-ion 4 Jacobs, Kenneth S. 4 Kedlaya, Kiran Sridhara 4 Liao, Lingmin 4 Ma’u, Sione 4 Mavraki, Niki Myrto 4 Moree, Pieter 4 Shorey, Tarlok Nath 4 Videla, Carlos R. 4 Ye, Hexi 3 Ahmed, Mohammad Helal Uddin 3 Atanassov, Krassimir Todorov 3 Autissier, Pascal 3 Bennett, Michael A. 3 Berrizbeitia, Pedro 3 Bloom, Thomas 3 Bost, Jean-Benoît 3 Corvaja, Pietro 3 Derbal, Abdallah 3 Dusart, Pierre 3 Filaseta, Michael A. 3 Ford, Kevin B. 3 Habegger, Philipp 3 Hsia, Liang-Chung 3 Huang, Yi-Ling 3 Kadiri, Habiba 3 Levenberg, Norman jun. 3 Luca, Florian 3 Moret-Bailly, Laurent 3 Pheidas, Thanases 3 Platt, David John 3 Poineau, Jérôme 3 Pomerance, Carl Bernard 3 Pulita, Andrea 3 Rubin, Karl Cooper 3 Saradha, N. 3 Sombra, Martín 3 Szpiro, Lucien 3 Tanti, Jagmohan 3 Wanner, Veronika 3 Welliaveetil, John 3 Williams, Hugh Cowie 2 Akbary, Amir 2 Amini, Omid 2 Bach, Eric 2 Baldassarri, Francesco 2 Banks, William David 2 Bell, Jason P. 2 Berman, Robert J. 2 Boysal, Arzu 2 Burgos Gil, José Ignacio 2 Carlson, Robert 2 Cullinan, John 2 Dalloul, Amran 2 Dudek, Adrian W. 2 Dujardin, Romain 2 Ecevit, Fatih 2 Eisenträger, Kirsten 2 Fan, Ai Hua 2 Francis, Forrest J. 2 Gaudron, Éric 2 Granja, Angel 2 Grant, David R. ...and 395 more Authors all top 5 Cited in 157 Serials 35 Mathematics of Computation 29 Journal of Number Theory 18 Transactions of the American Mathematical Society 15 Mathematische Annalen 13 Duke Mathematical Journal 11 Acta Arithmetica 10 Annales de l’Institut Fourier 10 Inventiones Mathematicae 10 Mathematische Zeitschrift 10 International Journal of Number Theory 10 Algebra & Number Theory 9 Proceedings of the American Mathematical Society 9 Journal de Théorie des Nombres de Bordeaux 8 Advances in Mathematics 8 Compositio Mathematica 7 Journal für die Reine und Angewandte Mathematik 7 Manuscripta Mathematica 7 Annals of Pure and Applied Logic 7 Indagationes Mathematicae. New Series 7 The Ramanujan Journal 6 Israel Journal of Mathematics 6 Engineering Analysis with Boundary Elements 5 Rocky Mountain Journal of Mathematics 5 Bulletin of the London Mathematical Society 5 Journal of Algebra 5 Ergodic Theory and Dynamical Systems 5 Bulletin of the American Mathematical Society. New Series 4 Journal of Algebraic Geometry 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Research in Number Theory 3 Bulletin of the Australian Mathematical Society 3 Computers & Mathematics with Applications 3 International Journal of Mathematical Education in Science and Technology 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Bulletin de la Société Mathématique de France 3 Functiones et Approximatio. Commentarii Mathematici 3 Proceedings of the London Mathematical Society. Third Series 3 Theoretical Computer Science 3 Journal of Complexity 3 Journal of the American Mathematical Society 3 The Journal of Geometric Analysis 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of Modern Dynamics 3 European Journal of Mathematics 2 Journal of Mathematical Analysis and Applications 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Beiträge zur Algebra und Geometrie 2 Acta Mathematica 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Archiv der Mathematik 2 Journal of Computational and Applied Mathematics 2 Michigan Mathematical Journal 2 Pacific Journal of Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Rendiconti del Seminario Matematico della Università di Padova 2 European Journal of Combinatorics 2 Mathematical Social Sciences 2 Applied Mathematics Letters 2 Journal of Cryptology 2 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 2 Experimental Mathematics 2 Mathematical Logic Quarterly (MLQ) 2 Selecta Mathematica. New Series 2 Discrete and Continuous Dynamical Systems 2 Integers 2 Computational Methods and Function Theory 2 Proceedings of the Steklov Institute of Mathematics 2 European Journal of Pure and Applied Mathematics 2 Science China. Mathematics 2 Arnold Mathematical Journal 1 Analysis Mathematica 1 Communications in Algebra 1 Indian Journal of Pure & Applied Mathematics 1 Linear and Multilinear Algebra 1 Nonlinearity 1 Reviews of Modern Physics 1 Arkiv för Matematik 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal of Computer and System Sciences 1 Journal of Differential Equations 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 The Journal of Symbolic Logic 1 Mathematics and Computers in Simulation 1 Mathematika 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Notre Dame Journal of Formal Logic 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tsukuba Journal of Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques ...and 57 more Serials all top 5 Cited in 49 Fields 299 Number theory (11-XX) 138 Algebraic geometry (14-XX) 116 Dynamical systems and ergodic theory (37-XX) 47 Several complex variables and analytic spaces (32-XX) 42 Field theory and polynomials (12-XX) 35 Mathematical logic and foundations (03-XX) 24 Commutative algebra (13-XX) 23 Potential theory (31-XX) 22 Functions of a complex variable (30-XX) 18 Computer science (68-XX) 17 Numerical analysis (65-XX) 16 Combinatorics (05-XX) 16 Information and communication theory, circuits (94-XX) 8 Special functions (33-XX) 7 Group theory and generalizations (20-XX) 7 Real functions (26-XX) 7 Partial differential equations (35-XX) 7 Convex and discrete geometry (52-XX) 6 Operator theory (47-XX) 5 Approximations and expansions (41-XX) 5 Quantum theory (81-XX) 4 Probability theory and stochastic processes (60-XX) 4 Operations research, mathematical programming (90-XX) 3 Topological groups, Lie groups (22-XX) 3 Ordinary differential equations (34-XX) 3 Differential geometry (53-XX) 3 Mechanics of deformable solids (74-XX) 2 Associative rings and algebras (16-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-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.