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Rumely, Robert S.

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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
Documents Indexed: 34 Publications since 1980, including 4 Books

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 498 times in 382 Documents Cited by Year
Potential theory and dynamics on the Berkovich projective line. Zbl 1196.14002
Baker, Matthew; Rumely, Robert
84
2010
Primes in arithmetic progressions. Zbl 0856.11042
Ramaré, Olivier; Rumely, Robert
53
1996
On distinguishing prime numbers from composite numbers. Zbl 0526.10004
Adleman, Leonard M.; Pomerance, Carl; Rumely, Robert S.
49
1983
Capacity theory on algebraic curves. Zbl 0679.14012
Rumely, Robert S.
44
1989
Equidistribution of small points, rational dynamics, and potential theory. Zbl 1234.11082
Baker, Matthew H.; Rumely, Robert
35
2006
Arithmetic over the ring of all algebraic integers. Zbl 0581.14014
Rumely, Robert S.
32
1986
The capacity pairing. Zbl 0756.14013
Chinburg, Ted; Rumely, Robert
24
1993
Harmonic analysis on metrized graphs. Zbl 1123.43006
Baker, Matt; Rumely, Robert
22
2007
Undecidability and definability for the theory of global fields. Zbl 0472.03010
Rumely, R. S.
18
1980
Numerical computations concerning the ERH. Zbl 0792.11034
Rumely, Robert
17
1993
Existence of the sectional capacity. Zbl 0987.14018
Rumely, Robert; Lau, Chi Fong; Varley, Robert
16
2000
On Bilu’s equidistribution theorem. Zbl 1029.11030
Rumely, Robert
10
1999
A finiteness property of torsion points. Zbl 1182.11030
Baker, Matthew; Ih, Su-ion; Rumely, Robert
9
2008
The minimal resultant locus. Zbl 1379.37148
Rumely, Robert
9
2015
Arithmetic capacities on \(\mathbb{P}^ N\). Zbl 0794.31008
Rumely, Robert; Lau, Chi Fong
7
1994
Notes on van der Poorten’s proof of the Hadamard quotient theorem. I, II. Zbl 0661.10017
Rumely, Robert
7
1988
A Robin formula for the Fekete-Leja transfinite diameter. Zbl 1127.31003
Rumely, Robert
7
2007
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
Configuration of the crucial set for a quadratic rational map. Zbl 1391.37086
Doyle, John R.; Jacobs, Kenneth; Rumely, Robert
5
2016
Capacity theory with local rationality. The strong Fekete-Szegő theorem on curves. Zbl 1348.31004
Rumely, Robert
5
2013
Zeros of \(p\)-adic exponential polynomials. II. Zbl 0633.12006
van der Poorten, A. J.; Rumely, Robert S.
5
1987
Transfinite diameter and the resultant. Zbl 1131.37054
DeMarco, Laura; Rumely, Robert
5
2007
On the relation between Cantor’s capacity and the sectional capacity. Zbl 0808.14023
Rumely, Robert
4
1993
An intersection pairing for curves, with analytic contributions from nonarchimedean places. Zbl 0859.11037
Rumely, Robert
4
1995
A formula for the Größencharacter of a parametrized elliptic curve. Zbl 0538.14032
Rumely, Robert S.
3
1983
A note on the Hadamard \(k\)th root of a rational function. Zbl 0635.10008
Rumely, Robert S.; van der Poorten, A. J.
3
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
Capacity theory on algebraic curves and canonical heights. Zbl 0623.14011
Rumely, Robert
2
1985
A new equivariant in nonarchimedean dynamics. Zbl 1392.37119
Rumely, Robert
2
2017
Well-adjusted models for curves over Dedekind rings. Zbl 0734.14003
Chinburg, T.; Rumely, R.
1
1991
Remarks on generalised power sums. Zbl 0615.10018
Rumely, Robert S.; van der Poorten, A. J.
1
1987
A new equivariant in nonarchimedean dynamics. Zbl 1392.37119
Rumely, Robert
2
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
9
2015
Capacity theory with local rationality. The strong Fekete-Szegő theorem on curves. Zbl 1348.31004
Rumely, Robert
5
2013
Potential theory and dynamics on the Berkovich projective line. Zbl 1196.14002
Baker, Matthew; Rumely, Robert
84
2010
A finiteness property of torsion points. Zbl 1182.11030
Baker, Matthew; Ih, Su-ion; Rumely, Robert
9
2008
Harmonic analysis on metrized graphs. Zbl 1123.43006
Baker, Matt; Rumely, Robert
22
2007
A Robin formula for the Fekete-Leja transfinite diameter. Zbl 1127.31003
Rumely, Robert
7
2007
Transfinite diameter and the resultant. Zbl 1131.37054
DeMarco, Laura; Rumely, Robert
5
2007
Equidistribution of small points, rational dynamics, and potential theory. Zbl 1234.11082
Baker, Matthew H.; Rumely, Robert
35
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
16
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
10
1999
Primes in arithmetic progressions. Zbl 0856.11042
Ramaré, Olivier; Rumely, Robert
53
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
24
1993
Numerical computations concerning the ERH. Zbl 0792.11034
Rumely, Robert
17
1993
On the relation between Cantor’s capacity and the sectional capacity. Zbl 0808.14023
Rumely, Robert
4
1993
Well-adjusted models for curves over Dedekind rings. Zbl 0734.14003
Chinburg, T.; Rumely, R.
1
1991
Capacity theory on algebraic curves. Zbl 0679.14012
Rumely, Robert S.
44
1989
Notes on van der Poorten’s proof of the Hadamard quotient theorem. I, II. Zbl 0661.10017
Rumely, Robert
7
1988
Zeros of \(p\)-adic exponential polynomials. II. Zbl 0633.12006
van der Poorten, A. J.; Rumely, Robert S.
5
1987
A note on the Hadamard \(k\)th root of a rational function. Zbl 0635.10008
Rumely, Robert S.; van der Poorten, A. J.
3
1987
Remarks on generalised power sums. Zbl 0615.10018
Rumely, Robert S.; van der Poorten, A. J.
1
1987
Arithmetic over the ring of all algebraic integers. Zbl 0581.14014
Rumely, Robert S.
32
1986
Capacity theory on algebraic curves and canonical heights. Zbl 0623.14011
Rumely, Robert
2
1985
On distinguishing prime numbers from composite numbers. Zbl 0526.10004
Adleman, Leonard M.; Pomerance, Carl; Rumely, Robert S.
49
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.
18
1980
all top 5

Cited by 394 Authors

11 Rumely, Robert S.
9 Ramaré, Olivier
7 Favre, Charles
6 Boucksom, Sébastien
6 DeMarco, Laura Grace
6 Fan, Shilei
6 Ghioca, Dragos
6 Shlapentokh, Alexandra
6 Tucker, Thomas John
5 Baker, Matthew H.
5 Bonnet, Guy
5 Cinkir, Zubeyir
5 Corfdir, Alain
5 Fili, Paul A.
5 Jonsson, Mattias
5 Laishram, Shanta
5 Okuyama, Yûsuke
5 Petsche, Clayton
5 Pritsker, Igor E.
5 van der Poorten, Alfred J.
4 Bézivin, Jean-Paul
4 Chen, Jeng-Tzong
4 Chinburg, Ted
4 Faber, Xander
4 Gubler, Walter Bruno
4 Ih, Su-ion
4 Jacobs, Kenneth S.
4 Kao, Shing-Kai
4 Kedlaya, Kiran Sridhara
4 Liao, Lingmin
4 Moree, Pieter
4 Shorey, Tarlok Nath
4 Shparlinski, Igor E.
4 Videla, Carlos R.
4 Wang, Yuefei
3 Atanassov, Krassimir Todorov
3 Benedetto, Robert L.
3 Bennett, Michael A.
3 Berrizbeitia, Pedro
3 Bloom, Thomas
3 Chambert-Loir, Antoine
3 de Jong, Robin
3 Derbal, Abdallah
3 Dusart, Pierre
3 Filaseta, Michael A.
3 Ford, Kevin B.
3 Hsia, Liang-Chung
3 Ingram, Patrick
3 Kadiri, Habiba
3 Kiwi, Jan
3 Kuo, Shyh-Rong
3 Levenberg, Norman jun.
3 Luca, Florian
3 Ma’u, Sione
3 Moret-Bailly, Laurent
3 Pheidas, Thanases
3 Pomerance, Carl Bernard
3 Pulita, Andrea
3 Sombra, Martín
3 Szpiro, Lucien
3 Welliaveetil, John
3 Williams, Hugh Cowie
3 Zannier, Umberto M.
2 Akbary, Amir
2 Amini, Omid
2 Autissier, Pascal
2 Bach, Eric
2 Baldassarri, Francesco
2 Banks, William D.
2 Bost, Jean-Benoît
2 Burgos Gil, José Ignacio
2 Cullinan, John
2 Dalloul, Amran
2 Dudek, Adrian W.
2 Fan, Ai Hua
2 Gaudron, Éric
2 Granja, Angel
2 Green, Barry W.
2 Hajir, Farshid
2 Huang, Yi-Ling
2 Iannucci, Douglas E.
2 Jarden, Moshe
2 Jones, Rafe
2 Jørgensen, Palle E. T.
2 Koenigsmann, Jochen
2 Lau, Chi Fong
2 Lenstra, Hendrik W. jun.
2 Levin, Aaron
2 Lewis, Alain A.
2 L’Innocente, Sonia
2 Loeser, François
2 Manes, Michelle
2 Morain, François
2 Nicolas, Jean-Louis
2 Pappas, Georgios
2 Pearse, Erin Peter James
2 Philippon, Patrice
2 Poonen, Bjorn
2 Pottmeyer, Lukas
2 Rabinoff, Joseph
...and 294 more Authors
all top 5

Cited in 123 Serials

35 Mathematics of Computation
24 Journal of Number Theory
15 Transactions of the American Mathematical Society
12 Mathematische Annalen
11 Duke Mathematical Journal
9 Annales de l’Institut Fourier
9 Inventiones Mathematicae
9 Mathematische Zeitschrift
9 International Journal of Number Theory
8 Proceedings of the American Mathematical Society
7 Acta Arithmetica
7 Manuscripta Mathematica
7 Journal de Théorie des Nombres de Bordeaux
6 Israel Journal of Mathematics
6 Journal für die Reine und Angewandte Mathematik
6 Annals of Pure and Applied Logic
5 Compositio Mathematica
5 Journal of Algebra
5 Bulletin of the American Mathematical Society. New Series
5 Indagationes Mathematicae. New Series
5 Engineering Analysis with Boundary Elements
5 Algebra & Number Theory
4 Rocky Mountain Journal of Mathematics
4 Advances in Mathematics
4 Journal of Algebraic Geometry
4 The Ramanujan Journal
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 Functiones et Approximatio. Commentarii Mathematici
3 Proceedings of the London Mathematical Society. Third Series
3 Theoretical Computer Science
3 Ergodic Theory and Dynamical Systems
3 Journal of Complexity
3 Journal of the American Mathematical Society
2 Journal of Mathematical Analysis and Applications
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 Bulletin de la Société Mathématique de France
2 Journal of Computational and Applied Mathematics
2 Michigan Mathematical Journal
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 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Experimental Mathematics
2 Mathematical Logic Quarterly (MLQ)
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 European Journal of Mathematics
1 Communications in Algebra
1 Linear and Multilinear Algebra
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Reviews of Modern Physics
1 Arkiv för Matematik
1 The Mathematical Intelligencer
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Bulletin of the London Mathematical Society
1 Illinois Journal of Mathematics
1 Publications Mathématiques
1 Journal of Computer and System Sciences
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Journal of Pure and Applied Algebra
1 Mathematics and Computers in Simulation
1 Mathematika
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Notre Dame Journal of Formal Logic
1 Pacific Journal of Mathematics
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Combinatorica
1 Journal of Classification
1 Journal of Symbolic Computation
1 Probability Theory and Related Fields
1 Constructive Approximation
1 The Journal of Geometric Analysis
1 Aequationes Mathematicae
1 L’Enseignement Mathématique. 2e Série
1 European Journal of Operational Research
1 International Journal of Computer Mathematics
1 Journal of Elasticity
1 Linear Algebra and its Applications
1 Journal of Dynamics and Differential Equations
1 Cybernetics and Systems Analysis
1 Journal of Algebraic Combinatorics
1 Combinatorics, Probability and Computing
1 Sbornik: Mathematics
1 Discrete and Continuous Dynamical Systems
...and 23 more Serials
all top 5

Cited in 45 Fields

241 Number theory (11-XX)
102 Algebraic geometry (14-XX)
72 Dynamical systems and ergodic theory (37-XX)
36 Field theory and polynomials (12-XX)
34 Several complex variables and analytic spaces (32-XX)
29 Mathematical logic and foundations (03-XX)
22 Commutative algebra (13-XX)
18 Functions of a complex variable (30-XX)
18 Potential theory (31-XX)
16 Computer science (68-XX)
14 Combinatorics (05-XX)
12 Numerical analysis (65-XX)
12 Information and communication theory, circuits (94-XX)
6 Real functions (26-XX)
6 Convex and discrete geometry (52-XX)
5 Group theory and generalizations (20-XX)
5 Special functions (33-XX)
4 Quantum theory (81-XX)
4 Operations research, mathematical programming (90-XX)
3 Partial differential equations (35-XX)
3 Operator theory (47-XX)
3 Probability theory and stochastic processes (60-XX)
2 Associative rings and algebras (16-XX)
2 Topological groups, Lie groups (22-XX)
2 Ordinary differential equations (34-XX)
2 Approximations and expansions (41-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Functional analysis (46-XX)
2 Mechanics of deformable solids (74-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-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 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Statistics (62-XX)
1 Optics, electromagnetic theory (78-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Mathematics education (97-XX)

Citations by Year

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