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Robinson, Raphael Mitchel (b. 1911 d. 1995)

Author ID: robinson.raphael-m Recent zbMATH articles by "Robinson, Raphael Mitchel"
Published as: Robinson, Raphael M.; Robinson, R. M.; Robinson, R.
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 80 Publications since 1934, including 3 Books
Biographic References: 2 Publications
Co-Authors: 2 Co-Authors with 1 Joint Publication
39 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

60 Publications have been cited 859 times in 777 Documents Cited by Year
Undecidability and nonperiodicity for tilings of the plane. Zbl 0197.46801
Robinson, R. M.
208
1971
Undecidable theories. Zbl 0053.00401
Tarski, Alfred; Mostowski, Andrzej; Robinson, Raphael M.
157
1953
Undecidable rings. Zbl 0042.24503
Robinson, Raphael M.
27
1951
Periodicity of Somos sequences. Zbl 0774.11009
Robinson, Raphael M.
25
1992
Primitive recursive functions. Zbl 0034.29102
Robinson, Raphael M.
25
1947
Some definite polynomials which are not sums of squares of real polynomials. Zbl 0277.10019
Robinson, Raphael M.
23
1973
Arrangement of 24 points on a sphere. Zbl 0107.39802
Robinson, R. M.
23
1961
Conjugate algebraic integers in real point sets. Zbl 0126.02902
Robinson, R.
19
1964
Univalent majorants. Zbl 0032.15603
Robinson, Raphael M.
19
1947
Analytic functions in circular rings. Zbl 0060.21804
Robinson, Raphael M.
19
1943
Mersenne and Fermat numbers. Zbl 0058.27504
Robinson, Raphael M.
18
1954
The undecidability of pure transcendental extensions of real fields. Zbl 0221.02034
Robinson, Raphael M.
17
1964
A report on primes of the form \(k\cdot 2^n +1\) and on factors of Fermat numbers. Zbl 0092.27505
Robinson, Raphael M.
16
1958
Multiple tilings of \(n\)-dimensional space by unit cubes. Zbl 0398.52006
Robinson, Raphael M.
16
1979
Restricted set-theoretical definitions in arithmetic. Zbl 0112.00702
Robinson, R. M.
15
1958
Algebraic equations with span less than 4. Zbl 0147.12905
Robinson, R. M.
15
1964
Undecidable tiling problems in the hyperbolic plane. Zbl 0354.50006
Robinson, Raphael M.
13
1978
Conjugate algebraic integers on a circle. Zbl 0179.07701
Robinson, Raphael M.
13
1969
The structure of certain triple systems. Zbl 0293.05015
Robinson, Raphael M.
13
1975
Intervals containing infinitely many sets of conjugate algebraic integers. Zbl 0116.25402
Robinson, Raphael M.
12
1962
Arithmetical representation of recursively enumerable sets. Zbl 0073.25204
Robinson, Raphael M.
10
1956
Intervals containing infinitely many sets of conjugate algebraic units. Zbl 0156.27905
Robinson, R. M.
9
1964
On the decomposition of spheres. Zbl 0032.40303
Robinson, Raphael M.
8
1947
Primitive recursive functions. II. Zbl 0067.00203
Robinson, Raphael M.
7
1955
Recursion and double recursion. Zbl 0034.29201
Robinson, Raphael M.
7
1948
A generalization of Picard’s and related theorems. Zbl 0020.37801
Robinson, Raphael M.
7
1939
Unsymmetrical approximation of irrational numbers. Zbl 0032.40003
Robinson, Raphael M.
7
1947
On the transfinite diameters of some related sets. Zbl 0172.09902
Robinson, R. M.
7
1969
Minsky’s small universal Turing machine. Zbl 0792.68040
Robinson, Raphael M.
6
1991
Some representations of diophantine sets. Zbl 0264.02042
Robinson, Raphael M.
6
1972
Integer-valued entire functions. Zbl 0212.42201
Robinson, R. M.
5
1971
Bloch functions. Zbl 0015.03002
Robinson, Raphael M.
5
1936
The theory of classes. A modification of von Neumann’s system. Zbl 0017.04901
Robinson, Raphael M.
5
1937
Arithmetical definability of field elements. Zbl 0042.24601
Robinson, Raphael M.
5
1951
Hadamard’s three circles theorem. Zbl 0060.21805
Robinson, Raphael M.
5
1944
Some conjectures about cyclotomic integers. Zbl 0129.02303
Robinson, Raphael M.
5
1965
Finite sets of points on a sphere with each nearest to five others. Zbl 0172.45803
Robinson, R. M.
5
1969
Conjugate algebraic units in a special interval. Zbl 0345.12006
Robinson, Raphael M.
4
1977
On the spans of derivatives of polynomials. Zbl 0126.03001
Robinson, Raphael M.
4
1964
On the distribution of certain algebraic integers. Zbl 0166.05801
Robinson, R. M.
4
1967
The approximation of irrational numbers by fractions with odd or even terms. Zbl 0024.25201
Robinson, Raphael M.
4
1940
Bounded univalent functions. Zbl 0060.21802
Robinson, R. M.
4
1942
An extension of Pólya’s theorem on power series with integer coefficients. Zbl 0159.36203
Robinson, Raphael M.
4
1968
The Bloch constant \({\mathfrak U}\) for a schlicht function. Zbl 0012.17102
Robinson, R. M.
4
1935
The approximation of irrational numbers by fractions with odd or even terms. JFM 66.0183.03
Robinson, R. M.
3
1940
Some factorizations of numbers of the form \(2^n \pm 1\). Zbl 0086.03302
Robinson, Raphael M.
3
1957
Binary relations as primitive notions in elementary geometry. Zbl 0088.36901
Robinson, Raphael M.
3
1959
Solutions of an equation in Abelian groups. Zbl 0418.10030
Robinson, Raphael M.
2
1979
Extremal problems for star mappings. Zbl 0065.06903
Robinson, Raphael M.
2
1955
Numbers having \(m\) small \(m\)th roots mod \(p\). Zbl 0785.11003
Robinson, Raphael M.
2
1993
Arithmetical definitions in the ring of integers. Zbl 0054.00701
Robinson, Raphael M.
2
1951
The theory of classes. A modification of von Neumann’s system. JFM 63.0027.03
Robinson, R. M.
2
1937
A curious trigonometric identity. Zbl 0081.34002
Robinson, R. M.
2
1957
The converse of Fermat’s theorem. Zbl 0079.06303
Robinson, Raphael M.
2
1957
Finite sequences of classes. Zbl 0063.06525
Robinson, Raphael M.
1
1945
On numerical bounds in Schottky’s theorem. JFM 65.0332.02
Robinson, R. M.
1
1939
A generalization of Picard’s and related theorems. JFM 65.0336.01
Robinson, R. M.
1
1939
The critical numbers for unsymmetrical approximation. Zbl 0032.40002
Robinson, Raphael M.
1
1948
Factors of Fermat numbers. Zbl 0109.02902
Robinson, Raphael M.
1
1957
Restricted set-theoretical definitions in arithmetic. Zbl 0156.00902
Robinson, R. M.
1
1960
Numbers having \(m\) small \(m\)th roots mod \(p\). Zbl 0785.11003
Robinson, Raphael M.
2
1993
Periodicity of Somos sequences. Zbl 0774.11009
Robinson, Raphael M.
25
1992
Minsky’s small universal Turing machine. Zbl 0792.68040
Robinson, Raphael M.
6
1991
Multiple tilings of \(n\)-dimensional space by unit cubes. Zbl 0398.52006
Robinson, Raphael M.
16
1979
Solutions of an equation in Abelian groups. Zbl 0418.10030
Robinson, Raphael M.
2
1979
Undecidable tiling problems in the hyperbolic plane. Zbl 0354.50006
Robinson, Raphael M.
13
1978
Conjugate algebraic units in a special interval. Zbl 0345.12006
Robinson, Raphael M.
4
1977
The structure of certain triple systems. Zbl 0293.05015
Robinson, Raphael M.
13
1975
Some definite polynomials which are not sums of squares of real polynomials. Zbl 0277.10019
Robinson, Raphael M.
23
1973
Some representations of diophantine sets. Zbl 0264.02042
Robinson, Raphael M.
6
1972
Undecidability and nonperiodicity for tilings of the plane. Zbl 0197.46801
Robinson, R. M.
208
1971
Integer-valued entire functions. Zbl 0212.42201
Robinson, R. M.
5
1971
Conjugate algebraic integers on a circle. Zbl 0179.07701
Robinson, Raphael M.
13
1969
On the transfinite diameters of some related sets. Zbl 0172.09902
Robinson, R. M.
7
1969
Finite sets of points on a sphere with each nearest to five others. Zbl 0172.45803
Robinson, R. M.
5
1969
An extension of Pólya’s theorem on power series with integer coefficients. Zbl 0159.36203
Robinson, Raphael M.
4
1968
On the distribution of certain algebraic integers. Zbl 0166.05801
Robinson, R. M.
4
1967
Some conjectures about cyclotomic integers. Zbl 0129.02303
Robinson, Raphael M.
5
1965
Conjugate algebraic integers in real point sets. Zbl 0126.02902
Robinson, R.
19
1964
The undecidability of pure transcendental extensions of real fields. Zbl 0221.02034
Robinson, Raphael M.
17
1964
Algebraic equations with span less than 4. Zbl 0147.12905
Robinson, R. M.
15
1964
Intervals containing infinitely many sets of conjugate algebraic units. Zbl 0156.27905
Robinson, R. M.
9
1964
On the spans of derivatives of polynomials. Zbl 0126.03001
Robinson, Raphael M.
4
1964
Intervals containing infinitely many sets of conjugate algebraic integers. Zbl 0116.25402
Robinson, Raphael M.
12
1962
Arrangement of 24 points on a sphere. Zbl 0107.39802
Robinson, R. M.
23
1961
Restricted set-theoretical definitions in arithmetic. Zbl 0156.00902
Robinson, R. M.
1
1960
Binary relations as primitive notions in elementary geometry. Zbl 0088.36901
Robinson, Raphael M.
3
1959
A report on primes of the form \(k\cdot 2^n +1\) and on factors of Fermat numbers. Zbl 0092.27505
Robinson, Raphael M.
16
1958
Restricted set-theoretical definitions in arithmetic. Zbl 0112.00702
Robinson, R. M.
15
1958
Some factorizations of numbers of the form \(2^n \pm 1\). Zbl 0086.03302
Robinson, Raphael M.
3
1957
A curious trigonometric identity. Zbl 0081.34002
Robinson, R. M.
2
1957
The converse of Fermat’s theorem. Zbl 0079.06303
Robinson, Raphael M.
2
1957
Factors of Fermat numbers. Zbl 0109.02902
Robinson, Raphael M.
1
1957
Arithmetical representation of recursively enumerable sets. Zbl 0073.25204
Robinson, Raphael M.
10
1956
Primitive recursive functions. II. Zbl 0067.00203
Robinson, Raphael M.
7
1955
Extremal problems for star mappings. Zbl 0065.06903
Robinson, Raphael M.
2
1955
Mersenne and Fermat numbers. Zbl 0058.27504
Robinson, Raphael M.
18
1954
Undecidable theories. Zbl 0053.00401
Tarski, Alfred; Mostowski, Andrzej; Robinson, Raphael M.
157
1953
Undecidable rings. Zbl 0042.24503
Robinson, Raphael M.
27
1951
Arithmetical definability of field elements. Zbl 0042.24601
Robinson, Raphael M.
5
1951
Arithmetical definitions in the ring of integers. Zbl 0054.00701
Robinson, Raphael M.
2
1951
Recursion and double recursion. Zbl 0034.29201
Robinson, Raphael M.
7
1948
The critical numbers for unsymmetrical approximation. Zbl 0032.40002
Robinson, Raphael M.
1
1948
Primitive recursive functions. Zbl 0034.29102
Robinson, Raphael M.
25
1947
Univalent majorants. Zbl 0032.15603
Robinson, Raphael M.
19
1947
On the decomposition of spheres. Zbl 0032.40303
Robinson, Raphael M.
8
1947
Unsymmetrical approximation of irrational numbers. Zbl 0032.40003
Robinson, Raphael M.
7
1947
Finite sequences of classes. Zbl 0063.06525
Robinson, Raphael M.
1
1945
Hadamard’s three circles theorem. Zbl 0060.21805
Robinson, Raphael M.
5
1944
Analytic functions in circular rings. Zbl 0060.21804
Robinson, Raphael M.
19
1943
Bounded univalent functions. Zbl 0060.21802
Robinson, R. M.
4
1942
The approximation of irrational numbers by fractions with odd or even terms. Zbl 0024.25201
Robinson, Raphael M.
4
1940
The approximation of irrational numbers by fractions with odd or even terms. JFM 66.0183.03
Robinson, R. M.
3
1940
A generalization of Picard’s and related theorems. Zbl 0020.37801
Robinson, Raphael M.
7
1939
On numerical bounds in Schottky’s theorem. JFM 65.0332.02
Robinson, R. M.
1
1939
A generalization of Picard’s and related theorems. JFM 65.0336.01
Robinson, R. M.
1
1939
The theory of classes. A modification of von Neumann’s system. Zbl 0017.04901
Robinson, Raphael M.
5
1937
The theory of classes. A modification of von Neumann’s system. JFM 63.0027.03
Robinson, R. M.
2
1937
Bloch functions. Zbl 0015.03002
Robinson, Raphael M.
5
1936
The Bloch constant \({\mathfrak U}\) for a schlicht function. Zbl 0012.17102
Robinson, R. M.
4
1935
all top 5

Cited by 863 Authors

15 Durand, Bruno
12 Jeandel, Emmanuel
11 Visser, Albert
10 Sablik, Mathieu
9 Ban, Jungchao
9 Robinson, Raphael Mitchel
8 Barbieri, Sebastián
8 Chang, Chih-Hung
8 Dubickas, Artūras
8 Hone, Andrew N. W.
8 Hu, Wen-Guei
8 Kari, Jarkko
7 Margenstern, Maurice
7 Vanier, Pascal
6 Aubrun, Nathalie
6 Zong, Chuanming
5 Brun, Yuriy
5 Lin, Song-Sun
5 Mazzanti, Stefano
5 Moutot, Etienne
5 Murwanashyaka, Juvenal
5 Musin, Oleg R.
5 Rabinovich, Alexander
5 Shlapentokh, Alexandra
5 Smyth, Christopher J.
5 Totik, Vilmos
5 Wu, Yuliang
4 Capparelli, Stefano
4 Fernique, Thomas
4 Germano, Giorgio M.
4 Goodman-Strauss, Chaim
4 Hochman, Michael
4 Illarionov, Andrei A.
4 Joosten, Joost J.
4 Matiyasevich, Yuriĭ Vladimirovich
4 Neary, Turlough
4 Pavlov, Ronnie
4 Pritsker, Igor E.
4 Schraudner, Michael
4 Shen, Alexander
4 Szabó, Sándor
4 Tarasov, Alexey S.
4 Willard, Dan E.
3 Akopyan, Roman Razmikovich
3 Babayan, Nikolay M.
3 Bergweiler, Walter
3 Boyle, Mike
3 Brillhart, John
3 Carroll, Tom
3 Choi, Man-Duen
3 Cubitt, Toby S.
3 Delandtsheer, Anne
3 Feferman, Solomon
3 Garg, Raj Kumar
3 Ginovyan, Mamikon S.
3 Grabmayr, Balthasar
3 Jahangiri, Jay M.
3 Jiang, Zhaolin
3 Jonoska, Nataša
3 Kedlaya, Kiran Sridhara
3 Labbé, Sébastien
3 Lai, Guanyu
3 Levin, Leonid A.
3 MacGregor, Thomas H.
3 Makowsky, Johann-Andreas
3 Pour-El, Marian Boykan
3 Reif, John H.
3 Robinson, Julia
3 Romanov, Mark Anatol’evich
3 Romashchenko, Andrei
3 Sahu, Sudheer
3 Salehi, Saeed
3 Shon, Sugoog
3 Simpson, Stephen G.
3 Sirokofskich, Alla
3 Theyssier, Guillaume
3 Törmä, Ilkka A.
3 Wei, Yunlan
3 Woods, Damien
3 Yang, Qi
3 Yin, Peng
2 Ahmadi, Amir Ali
2 Alenitsyn, Yuriĭ Evgen’evich
2 Anselmo, Marcella
2 Aydogan, Melike S.
2 Botoeva, Elena
2 Brickman, Louis
2 Chandgotia, Nishant
2 Chazottes, Jean-René
2 Chen, Hung-Hsun
2 Chen, Yonggao
2 Cheng, Yong
2 Cohen, David Bruce
2 Colbourn, Charles J.
2 Culik, Karel II
2 Damnjanovic, Zlatan
2 Del Fra, Alberto
2 Doyen, Jean
2 Dzhaparidze, Giorgie
2 Eggan, L. C.
...and 763 more Authors
all top 5

Cited in 228 Serials

42 Theoretical Computer Science
30 The Journal of Symbolic Logic
30 Proceedings of the American Mathematical Society
21 Mathematics of Computation
21 Transactions of the American Mathematical Society
20 Annals of Pure and Applied Logic
16 Ergodic Theory and Dynamical Systems
13 Journal of Computer and System Sciences
13 Journal of Number Theory
11 Notre Dame Journal of Formal Logic
11 Discrete & Computational Geometry
10 Archiv für Mathematische Logik und Grundlagenforschung
10 The Bulletin of Symbolic Logic
10 The Review of Symbolic Logic
9 Journal d’Analyse Mathématique
8 Studia Logica
8 Archive for Mathematical Logic
8 Bulletin of the American Mathematical Society
7 Journal of Algebra
7 Journal of Combinatorial Theory. Series A
7 Mathematische Annalen
7 Information and Computation
6 Discrete Mathematics
6 Israel Journal of Mathematics
6 Journal of Mathematical Analysis and Applications
6 Journal of Philosophical Logic
6 Mathematische Zeitschrift
6 Siberian Mathematical Journal
6 Linear Algebra and its Applications
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Computational Methods and Function Theory
5 Journal of Statistical Physics
5 Algebra Universalis
5 Bulletin de la Société Mathématique de France
5 Journal of Mathematical Sciences (New York)
5 Theory of Computing Systems
5 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
5 SIAM Journal on Applied Algebra and Geometry
4 Journal of Mathematical Physics
4 Advances in Mathematics
4 Algebra and Logic
4 Bulletin of the London Mathematical Society
4 Compositio Mathematica
4 Geometriae Dedicata
4 Journal of Pure and Applied Algebra
4 Journal of Soviet Mathematics
4 Indagationes Mathematicae. New Series
4 Experimental Mathematics
4 Mathematical Logic Quarterly (MLQ)
4 Discrete and Continuous Dynamical Systems
4 Proceedings of the Steklov Institute of Mathematics
3 Bulletin of the Australian Mathematical Society
3 Information Processing Letters
3 Chaos, Solitons and Fractals
3 The Mathematical Intelligencer
3 Archiv der Mathematik
3 Inventiones Mathematicae
3 Kodai Mathematical Journal
3 European Journal of Combinatorics
3 Constructive Approximation
3 International Journal of Foundations of Computer Science
3 Bulletin of the American Mathematical Society. New Series
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Kodai Mathematical Seminar Reports
3 Logica Universalis
3 Discrete Analysis
2 Archive for History of Exact Sciences
2 Mathematical Notes
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Periodica Mathematica Hungarica
2 Russian Mathematical Surveys
2 Acta Arithmetica
2 Annales de l’Institut Fourier
2 International Journal of Mathematics and Mathematical Sciences
2 Mathematical Systems Theory
2 Nagoya Mathematical Journal
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Synthese
2 Topology and its Applications
2 Advances in Applied Mathematics
2 History and Philosophy of Logic
2 Acta Mathematica Hungarica
2 Physica D
2 Graphs and Combinatorics
2 Journal of Automated Reasoning
2 The Journal of Geometric Analysis
2 Aequationes Mathematicae
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Mémoires de la Société Mathématique de France. Nouvelle Série
2 Expositiones Mathematicae
2 St. Petersburg Mathematical Journal
2 Finite Fields and their Applications
2 Izvestiya: Mathematics
2 Doklady Mathematics
2 Journal of the European Mathematical Society (JEMS)
2 Foundations of Science
2 Natural Computing
2 Journal of the Institute of Mathematics of Jussieu
2 International Journal of Number Theory
2 BIT. Nordisk Tidskrift for Informationsbehandling
...and 128 more Serials
all top 5

Cited in 54 Fields

259 Mathematical logic and foundations (03-XX)
139 Number theory (11-XX)
121 Computer science (68-XX)
107 Combinatorics (05-XX)
103 Dynamical systems and ergodic theory (37-XX)
99 Convex and discrete geometry (52-XX)
60 Functions of a complex variable (30-XX)
40 Group theory and generalizations (20-XX)
37 Field theory and polynomials (12-XX)
26 Algebraic geometry (14-XX)
25 History and biography (01-XX)
20 Geometry (51-XX)
15 Order, lattices, ordered algebraic structures (06-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
13 Commutative algebra (13-XX)
13 Real functions (26-XX)
13 Special functions (33-XX)
12 Potential theory (31-XX)
11 General and overarching topics; collections (00-XX)
11 Probability theory and stochastic processes (60-XX)
10 Measure and integration (28-XX)
10 Difference and functional equations (39-XX)
10 Operations research, mathematical programming (90-XX)
8 General algebraic systems (08-XX)
8 Approximations and expansions (41-XX)
8 Information and communication theory, circuits (94-XX)
7 Associative rings and algebras (16-XX)
7 Numerical analysis (65-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 General topology (54-XX)
6 Quantum theory (81-XX)
6 Statistical mechanics, structure of matter (82-XX)
4 Category theory; homological algebra (18-XX)
4 Biology and other natural sciences (92-XX)
3 Partial differential equations (35-XX)
3 Operator theory (47-XX)
3 Algebraic topology (55-XX)
3 Manifolds and cell complexes (57-XX)
2 Nonassociative rings and algebras (17-XX)
2 Topological groups, Lie groups (22-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Differential geometry (53-XX)
2 Statistics (62-XX)
2 Mechanics of particles and systems (70-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Functional analysis (46-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Citations by Year

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