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Author ID: rumely.robert-s Recent zbMATH articles by "Rumely, Robert S."
Published as: Rumely, Robert; Rumely, Robert S.; Rumely, R. S.; Rumely, R.
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

Publications by Year

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 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

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