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Kummer, Martin

Co-Author Distance
Author ID: kummer.martin Recent zbMATH articles by "Kummer, Martin"
Published as: Kummer, Martin; Kummer, M.
Documents Indexed: 63 Publications since 1966
Reviewing Activity: 34 Reviews
Co-Authors: 16 Co-Authors with 19 Joint Publications
515 Co-Co-Authors
all top 5

Co-Authors

32 single-authored
13 Stephan, Frank
5 Beigel, Richard
5 Fortnow, Lance J.
5 Gasarch, William Ian
3 Kaufmann, Susanne
3 Kurtz, Stuart A.
3 Sáenz, Albert W.
2 Freivalds, Rūsiņš Mārtiņš
2 Kinber, Efim B.
2 Martin, Georgia A.
2 McNicholl, Timothy H.
2 Schaefer, Marcus
1 Case, John
1 Dix, Jurgen
1 Ellison, James A.
1 Endres, Dan
1 Harizanov, Valentina S.
1 Herrmann, Eberhard
1 Jain, Sanjay
1 Ott, Matthias
1 Owings, James C. jun.
1 Pleszkovich, Mark
1 Slaman, Theodore A.
1 Smith, Carl H.
1 Solovay, Robert M.
1 Wehner, Stephan
1 Yi, Xiaoding
all top 5

Serials

6 Communications in Mathematical Physics
6 The Journal of Symbolic Logic
3 Journal of Computer and System Sciences
3 Theoretical Computer Science
3 Information and Computation
2 Journal of Mathematical Analysis and Applications
2 Annals of Pure and Applied Logic
1 Archive for Rational Mechanics and Analysis
1 Information Processing Letters
1 Journal of Mathematical Physics
1 Algebra and Logic
1 American Journal of Mathematics
1 Indiana University Mathematics Journal
1 Journal of Differential Equations
1 Notre Dame Journal of Formal Logic
1 SIAM Journal on Computing
1 Transactions of the American Mathematical Society
1 Zeitschrift für Mathematische Logik und Grundlagen der Mathematik
1 Annales Societatis Mathematicae Polonae. Series IV
1 Physica D
1 Journal of Logic and Computation
1 Archive for Mathematical Logic
1 Journal of Dynamics and Differential Equations
1 Mathematical Logic Quarterly (MLQ)
1 Discrete and Continuous Dynamical Systems
all top 5

Fields

32 Mathematical logic and foundations (03-XX)
24 Computer science (68-XX)
18 Mechanics of particles and systems (70-XX)
11 Dynamical systems and ergodic theory (37-XX)
4 Quantum theory (81-XX)
3 Topological groups, Lie groups (22-XX)
3 Ordinary differential equations (34-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Optics, electromagnetic theory (78-XX)
2 Differential geometry (53-XX)
2 Manifolds and cell complexes (57-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Combinatorics (05-XX)
1 Special functions (33-XX)
1 Convex and discrete geometry (52-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

51 Publications have been cited 119 times in 80 Documents Cited by ▼ Year ▼
On the construction of the reduced phase space of a Hamitonian system with symmetry. Zbl 0425.70019
Kummer, M.
35
1981
On resonant non linearly coupled oscillators with two equal frequencies. Zbl 0321.58017
Kummer, Martin
34
1976
On the regularization of the Kepler problem. Zbl 0496.70023
Kummer, Martin
33
1982
Kolmogorov complexity and instance complexity of recursively enumerable sets. Zbl 0859.03015
Kummer, Martin
25
1996
Extremes in the degrees of inferability. Zbl 0813.03026
Fortnow, Lance; Gasarch, William; Jain, Sanjay; Kinber, Efim; Kummer, Martin; Kurtz, Stuart; Pleszkovich, Mark; Slaman, Theodore; Solovay, Robert; Stephan, Frank
22
1994
A proof of Beigel’s cardinality conjecture. Zbl 0763.03025
Kummer, Martin
20
1992
On the structure of degrees of inferability. Zbl 1152.68452
Kummer, Martin; Stephan, Frank
19
1996
Approximable sets. Zbl 0835.68043
Beigel, Richard; Kummer, Martin; Stephan, Frank
18
1995
An easy priority-free proof of a theorem of Friedberg. Zbl 0701.03018
Kummer, Martin
14
1990
On resonant classical Hamiltonians with n frequencies. Zbl 0711.34059
Kummer, Martin
13
1990
On the three-dimensional lunar problem and other perturbation problems of the Kepler problem. Zbl 0569.70013
Kummer, Martin
12
1983
On the complexity of random strings. Zbl 1379.68187
Kummer, Martin
11
1996
Quantifying the amount of verboseness. Zbl 0827.68082
Beigel, Richard; Kummer, Martin; Stephan, Frank
10
1995
Recursion theoretic properties of frequency computation and bounded queries. Zbl 0836.03022
Kummer, Martin; Stephan, Frank
10
1995
Frequency computations and the cardinality theorem. Zbl 0763.03024
Harizanov, Valentina; Kummer, Martin; Owings, Jim
10
1992
An interaction of three resonant modes in a nonlinear lattice. Zbl 0309.58013
Kummer, Martin
9
1975
On the stability of Hill’s solutions of the plane restricted three body problem. Zbl 0448.70005
Kummer, Martin
9
1979
Transcendentally small transversality in the rapidly forced pendulum. Zbl 0782.34052
Ellison, James A.; Kummer, Martin; Sáenz, A. W.
9
1993
On resonant Hamiltonian systems with finitely many degrees of freedom. Zbl 0619.70021
Kummer, Martin
9
1986
On resonant classical Hamiltonians with two equal frequencies. Zbl 0377.58010
Kummer, Martin
7
1978
Learning recursive functions from approximations. Zbl 0880.68107
Case, John; Kaufmann, Susanne; Kinber, Efim; Kummer, Martin
7
1997
A learning-theoretic characterization of classes of recursive functions. Zbl 0875.68271
Kummer, Martin
7
1995
On resource-bounded instance complexity. Zbl 0872.68044
Fortnow, Lance; Kummer, Martin
6
1996
Nonintegrability of the classical Zeeman Hamiltonian. Zbl 0817.58016
Kummer, M.; Saenz, A. W.
6
1994
A group theoretical approach to a certain class of perturbations of the Kepler problem. Zbl 0604.70015
Kummer, Martin
6
1985
Diagonals and \({\mathcal D}\)-maximal sets. Zbl 0799.03046
Herrmann, Eberhard; Kummer, Martin
6
1994
Effective search problems. Zbl 0806.03027
Kummer, Martin; Stephan, Frank
6
1994
On resonant Hamiltonians with two degrees of freedom near an equilibrium point. Zbl 0404.70010
Kummer, Martin
5
1979
The complexity of \(\text{ODD}_n^A\). Zbl 0953.03051
Beigel, Richard; Gasarch, William; Kummer, Martin; Martin, Georgia; McNicholl, Timothy; Stephan, Frank
4
2000
On the relative sizes of learnable sets. Zbl 0902.68159
Fortnow, Lance; Freivalds, Rūsiņš; Gasarch, William I.; Kummer, Martin; Kurtz, Stuart A.
4
1998
Diagonals and semihyperhypersimple sets. Zbl 0747.03019
Kummer, Martin
4
1991
Computability of convex sets. Zbl 1379.68326
Kummer, Martin; Schäfer, Marcus
3
1995
Weakly semirecursive sets and r.e. orderings. Zbl 0767.03023
Kummer, Martin; Stephan, Frank
3
1993
Discrete families of recursive functions and index sets. Zbl 0828.03014
Kummer, M.; Wehner, S.; Yi, Xiao-Ding
3
1994
On a quantitative notion of uniformity. Zbl 0840.68043
Kaufmann, Susanne; Kummer, Martin
3
1996
Some applications of computable one-one numberings. Zbl 0714.03038
Kummer, Martin
3
1990
The most general Clebsch-Gordan coefficients of the universal covering group of the inhomogeneous Lorentz group. Zbl 0142.22901
Kummer, Martin
3
1966
The power of frequency computation (extended abstract). Zbl 1508.68114
Kummer, Martin; Stephan, Frank
3
1995
On the existence of invariant analytic two-manifolds in a resonant system with two degrees of freedom. Zbl 0491.70019
Kummer, Martin
2
1981
A note on direct sums of Friedberg numberings. Zbl 0682.03023
Kummer, Martin
2
1989
Quantifying the amount of verboseness (extended abstract). Zbl 0978.03527
Beigel, R.; Kummer, M.; Stephan, F.
2
1992
Inclusion problems in parallel learning and games. Zbl 0858.68074
Kummer, Martin; Stephan, Frank
2
1996
Nonintegrability of the Størmer problem. Zbl 0900.70214
Sáenz, A. W.; Kummer, M.
2
1995
Recursive enumeration without repetition revisited. Zbl 0701.03019
Kummer, Martin
2
1990
On a quantitative notion of uniformity. Zbl 1193.68117
Kaufmann, Susanne; Kummer, Martin
1
1995
Cuppability of simple and hypersimple sets. Zbl 1132.03017
Kummer, Martin; Schaefer, Marcus
1
2007
Recursion theoretic properties of frequency computation and bounded queries. (Extended abstract). Zbl 0790.03042
Kummer, Martin; Stephan, Frank
1
1993
Numberings of \(R_ 1\cup F\). Zbl 0723.03027
Kummer, Martin
1
1989
Group theory and the perturbed Kepler problem. Zbl 0581.70011
Kummer, Martin
1
1984
On the query complexity of sets. Zbl 0886.03034
Beigel, Richard; Gasarch, William; Kummer, Martin; Martin, Georgia; McNicholl, Timothy; Stephan, Frank
1
1996
Effective strategies for enumeration games. Zbl 1540.68133
Kummer, Martin; Ott, Matthias
1
1996
Cuppability of simple and hypersimple sets. Zbl 1132.03017
Kummer, Martin; Schaefer, Marcus
1
2007
The complexity of \(\text{ODD}_n^A\). Zbl 0953.03051
Beigel, Richard; Gasarch, William; Kummer, Martin; Martin, Georgia; McNicholl, Timothy; Stephan, Frank
4
2000
On the relative sizes of learnable sets. Zbl 0902.68159
Fortnow, Lance; Freivalds, Rūsiņš; Gasarch, William I.; Kummer, Martin; Kurtz, Stuart A.
4
1998
Learning recursive functions from approximations. Zbl 0880.68107
Case, John; Kaufmann, Susanne; Kinber, Efim; Kummer, Martin
7
1997
Kolmogorov complexity and instance complexity of recursively enumerable sets. Zbl 0859.03015
Kummer, Martin
25
1996
On the structure of degrees of inferability. Zbl 1152.68452
Kummer, Martin; Stephan, Frank
19
1996
On the complexity of random strings. Zbl 1379.68187
Kummer, Martin
11
1996
On resource-bounded instance complexity. Zbl 0872.68044
Fortnow, Lance; Kummer, Martin
6
1996
On a quantitative notion of uniformity. Zbl 0840.68043
Kaufmann, Susanne; Kummer, Martin
3
1996
Inclusion problems in parallel learning and games. Zbl 0858.68074
Kummer, Martin; Stephan, Frank
2
1996
On the query complexity of sets. Zbl 0886.03034
Beigel, Richard; Gasarch, William; Kummer, Martin; Martin, Georgia; McNicholl, Timothy; Stephan, Frank
1
1996
Effective strategies for enumeration games. Zbl 1540.68133
Kummer, Martin; Ott, Matthias
1
1996
Approximable sets. Zbl 0835.68043
Beigel, Richard; Kummer, Martin; Stephan, Frank
18
1995
Quantifying the amount of verboseness. Zbl 0827.68082
Beigel, Richard; Kummer, Martin; Stephan, Frank
10
1995
Recursion theoretic properties of frequency computation and bounded queries. Zbl 0836.03022
Kummer, Martin; Stephan, Frank
10
1995
A learning-theoretic characterization of classes of recursive functions. Zbl 0875.68271
Kummer, Martin
7
1995
Computability of convex sets. Zbl 1379.68326
Kummer, Martin; Schäfer, Marcus
3
1995
The power of frequency computation (extended abstract). Zbl 1508.68114
Kummer, Martin; Stephan, Frank
3
1995
Nonintegrability of the Størmer problem. Zbl 0900.70214
Sáenz, A. W.; Kummer, M.
2
1995
On a quantitative notion of uniformity. Zbl 1193.68117
Kaufmann, Susanne; Kummer, Martin
1
1995
Extremes in the degrees of inferability. Zbl 0813.03026
Fortnow, Lance; Gasarch, William; Jain, Sanjay; Kinber, Efim; Kummer, Martin; Kurtz, Stuart; Pleszkovich, Mark; Slaman, Theodore; Solovay, Robert; Stephan, Frank
22
1994
Nonintegrability of the classical Zeeman Hamiltonian. Zbl 0817.58016
Kummer, M.; Saenz, A. W.
6
1994
Diagonals and \({\mathcal D}\)-maximal sets. Zbl 0799.03046
Herrmann, Eberhard; Kummer, Martin
6
1994
Effective search problems. Zbl 0806.03027
Kummer, Martin; Stephan, Frank
6
1994
Discrete families of recursive functions and index sets. Zbl 0828.03014
Kummer, M.; Wehner, S.; Yi, Xiao-Ding
3
1994
Transcendentally small transversality in the rapidly forced pendulum. Zbl 0782.34052
Ellison, James A.; Kummer, Martin; Sáenz, A. W.
9
1993
Weakly semirecursive sets and r.e. orderings. Zbl 0767.03023
Kummer, Martin; Stephan, Frank
3
1993
Recursion theoretic properties of frequency computation and bounded queries. (Extended abstract). Zbl 0790.03042
Kummer, Martin; Stephan, Frank
1
1993
A proof of Beigel’s cardinality conjecture. Zbl 0763.03025
Kummer, Martin
20
1992
Frequency computations and the cardinality theorem. Zbl 0763.03024
Harizanov, Valentina; Kummer, Martin; Owings, Jim
10
1992
Quantifying the amount of verboseness (extended abstract). Zbl 0978.03527
Beigel, R.; Kummer, M.; Stephan, F.
2
1992
Diagonals and semihyperhypersimple sets. Zbl 0747.03019
Kummer, Martin
4
1991
An easy priority-free proof of a theorem of Friedberg. Zbl 0701.03018
Kummer, Martin
14
1990
On resonant classical Hamiltonians with n frequencies. Zbl 0711.34059
Kummer, Martin
13
1990
Some applications of computable one-one numberings. Zbl 0714.03038
Kummer, Martin
3
1990
Recursive enumeration without repetition revisited. Zbl 0701.03019
Kummer, Martin
2
1990
A note on direct sums of Friedberg numberings. Zbl 0682.03023
Kummer, Martin
2
1989
Numberings of \(R_ 1\cup F\). Zbl 0723.03027
Kummer, Martin
1
1989
On resonant Hamiltonian systems with finitely many degrees of freedom. Zbl 0619.70021
Kummer, Martin
9
1986
A group theoretical approach to a certain class of perturbations of the Kepler problem. Zbl 0604.70015
Kummer, Martin
6
1985
Group theory and the perturbed Kepler problem. Zbl 0581.70011
Kummer, Martin
1
1984
On the three-dimensional lunar problem and other perturbation problems of the Kepler problem. Zbl 0569.70013
Kummer, Martin
12
1983
On the regularization of the Kepler problem. Zbl 0496.70023
Kummer, Martin
33
1982
On the construction of the reduced phase space of a Hamitonian system with symmetry. Zbl 0425.70019
Kummer, M.
35
1981
On the existence of invariant analytic two-manifolds in a resonant system with two degrees of freedom. Zbl 0491.70019
Kummer, Martin
2
1981
On the stability of Hill’s solutions of the plane restricted three body problem. Zbl 0448.70005
Kummer, Martin
9
1979
On resonant Hamiltonians with two degrees of freedom near an equilibrium point. Zbl 0404.70010
Kummer, Martin
5
1979
On resonant classical Hamiltonians with two equal frequencies. Zbl 0377.58010
Kummer, Martin
7
1978
On resonant non linearly coupled oscillators with two equal frequencies. Zbl 0321.58017
Kummer, Martin
34
1976
An interaction of three resonant modes in a nonlinear lattice. Zbl 0309.58013
Kummer, Martin
9
1975
The most general Clebsch-Gordan coefficients of the universal covering group of the inhomogeneous Lorentz group. Zbl 0142.22901
Kummer, Martin
3
1966
all cited Publications top 5 cited Publications
all top 5

Cited by 104 Authors

26 Stephan, Frank
15 Jain, Sanjay
6 Beigel, Richard
6 Kinber, Efim B.
5 Gasarch, William Ian
4 Buhrman, Harry
4 Case, John
4 Fortnow, Lance J.
4 Hertrampf, Ulrich
4 Ott, Matthias
3 Kummer, Martin
3 Sharma, Arun
3 Tantau, Till
3 Terwijn, Sebastiaan A.
3 Teutsch, Jason
3 Torenvliet, Leen
2 Ambainis, Andris
2 Arvind, Vikraman
2 Austinat, Holger
2 Belot, Gordon
2 Diekert, Volker
2 Freivalds, Rūsiņš Mārtiņš
2 Kaufmann, Susanne
2 Khoussainov, Bakhadyr M.
2 Martin, Éric A.
2 Merkle, Wolfgang
2 Minnameier, Christoph
2 Muchnik, Andrej A.
2 Ogihara, Mitsunori
2 Zeugmann, Thomas
1 Agrawal, Manindra
1 Allender, Eric W.
1 Amir, Amihood
1 Antunes, Luis
1 Bab, Sebastian
1 Baliga, Ganesh R.
1 Barmpalias, George
1 Beigi, Salman
1 Beimel, Amos
1 Ben Daniel, Sebastian
1 Beros, Achilles A.
1 Beros, Konstantinos A.
1 Beygelzimer, Alina
1 Chang, Richard
1 Dëgtev, A. N.
1 Etesami, Omid
1 Fang, Nan
1 Fejer, Peter A.
1 Flores, Daniel J.
1 Foroughmand-Araabi, Mohammad-Hadi
1 Gaffar, Umar
1 Gavryushkin, Alex
1 Gavryushkin, Alexander
1 Gohari, Amin Aminzadeh
1 Goliaei, Sama
1 Grabowski, Piotr
1 Harizanov, Valentina S.
1 Hemaspaandra, Lane A.
1 Hempel, Harald
1 Hinrichs, Maren
1 Ho, Kejia
1 Hodges, Wilfrid
1 Hölzl, Rupert
1 Kalyanasundaram, Bala
1 Kasymov, Nadimulla Khabibullaevich
1 Kötzing, Timo
1 Koucký, Michal
1 Krasts, Ojārs
1 Kucevalovs, Ilja
1 Kurtz, Stuart A.
1 Kushilevitz, Eyal
1 Lee, Troy
1 Longpré, Luc
1 Martin, Georgia A.
1 McNicholl, Timothy H.
1 Meyer, Léa
1 Morozov, Andreĭ Sergeevich
1 Moser, William Ray
1 Mundhenk, Martin
1 Nickelsen, Arfst
1 Pelc, Andrzej
1 Petersen, Holger
1 Pleszkovich, Mark
1 Positselsky, Semen Ye.
1 Romashchenko, Andrei
1 Ronneburger, Detlef
1 Roy, Sambuddha
1 Schaefer, Marcus
1 Slaman, Theodore A.
1 Solovay, Robert M.
1 Stephan, Frank C.
1 Thierauf, Thomas
1 Toda, Seinosuke
1 Torán, Jacobo
1 Unger, Falk
1 van Melkebeek, Dieter
1 Vereshchagin, Nikolay K.
1 Vinodchandran, N. Variyam
1 Vogel, Jörg
1 Watanabe, Osamu
...and 4 more Authors
all top 5

Cited in 17 Serials

24 Theoretical Computer Science
11 Journal of Computer and System Sciences
11 Information and Computation
6 Annals of Pure and Applied Logic
5 The Journal of Symbolic Logic
2 Information Processing Letters
2 Algorithmica
2 Computational Complexity
1 Mathematical Notes
1 Siberian Mathematical Journal
1 RAIRO. Informatique Théorique et Applications
1 Archive for Mathematical Logic
1 The Bulletin of Symbolic Logic
1 Theory of Computing Systems
1 Natural Computing
1 Parallel Processing Letters
1 The Review of Symbolic Logic
all top 5

Cited in 7 Fields

69 Computer science (68-XX)
33 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year