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Dodson, Maurice M.

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Author ID: dodson.maurice-m Recent zbMATH articles by "Dodson, Maurice M."
Published as: Dodson, M.; Dodson, M. M.; Dodson, Maurice; Dodson, Maurice M.
External Links: MGP · Wikidata
Documents Indexed: 71 Publications since 1967, including 2 Books
Reviewing Activity: 133 Reviews

Publications by Year

Citations contained in zbMATH

56 Publications have been cited 358 times in 222 Documents Cited by Year
Metric Diophantine approximation on manifolds. Zbl 0933.11040
Bernik, V. I.; Dodson, M. M.
80
1999
Diophantine approximation and a lower bound for Hausdorff dimension. Zbl 0688.10049
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
20
1990
Classical metric Diophantine approximation revisited. Zbl 1236.11064
Beresnevich, Victor; Bernik, Vasily; Dodson, Maurice; Velani, Sanju
15
2009
Homogeneous additive congruences. Zbl 0139.27102
Dodson, M.
15
1967
Hausdorff dimension, lower order and Khintchine’s theorem in metric Diophantine approximation. Zbl 0749.11036
Dodson, M. M.
14
1992
Simultaneous Diophantine approximation on the circle and Hausdorff dimension. Zbl 0992.11046
Dickinson, H.; Dodson, M. M.
12
2001
Metric diophantine approximation and Hausdorff dimension on manifolds. Zbl 0677.10040
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
12
1989
The Hausdorff dimension of systems of linear forms. Zbl 0534.10025
Bovey, J. D.; Dodson, M. M.
12
1986
Extremal manifolds and Hausdorff dimension. Zbl 0973.11073
Dickinson, H.; Dodson, M. M.
10
2000
Patterson measure and ubiquity. Zbl 0816.11043
Dodson, M. M.; Melián, M. V.; Pestana, D.; Velani, S. L.
10
1995
Fourier analysis and the sampling theorem. Zbl 0583.42003
Dodson, M. M.; Silva, A. M.
10
1985
Geometric and probabilistic ideas in metric Diophantine approximation. Zbl 0831.11039
Dodson, M. M.
9
1993
Khintchine-type theorems on manifolds. Zbl 0736.11040
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
9
1991
A note on metric inhomogeneous diophantine approximation. Zbl 0887.11031
Dodson, M. M.
7
1997
A note on Waring’s problem in \(GF(p)\). Zbl 0289.10032
Dodson, M. M.; Tietäväinen, A.
7
1976
On Waring’s problem in \(GF(p)\). Zbl 0221.10019
Dodson, M. M.
6
1971
Groups and the sampling theorem. Zbl 1156.94317
Dodson, M. M.
5
2007
A converse to Kluvánek’s theorem. Zbl 1128.94004
Beaty, M. G.; Dodson, M. M.; Eveson, S. P.
5
2007
Hausdorff dimension and Diophantine approximation. Zbl 1196.11104
Dodson, Maurice M.; Kristensen, Simon
5
2004
The Whittaker-Kotel’nikov-Shannon theorem, spectral translates and Plancherel’s formula. Zbl 1059.94006
Beaty, M. G.; Dodson, M. M.
5
2004
On the Hausdorff dimension of sets of well-approximable points on nondegenerate curves. Zbl 1177.11066
Beresnevich, V. V.; Bernik, V. I.; Dodson, M. M.
5
2002
The Hausdorff dimension of small divisors for lower-dimensional KAM-tori. Zbl 0778.11042
Dodson, M. M.; Pöschel, J.; Rynne, B. P.; Vickers, J. A. G.
5
1992
Exceptional sets in Kolmogorov-Arnol’d-Moser theory. Zbl 0605.34041
Dodson, M. M.; Vickers, J. A. G.
5
1986
The fractional dimension of sets whose simultaneous rational approximations have errors with a small product. Zbl 0384.10013
Bovey, J. D.; Dodson, M. M.
5
1978
Diophantine approximation, Khintchine’s theorem, torus geometry and Hausdorff dimension. Zbl 1235.11072
Dodson, M. M.
4
2009
On the approximate form of Kluvánek’s theorem. Zbl 1178.94167
Beaty, M. G.; Dodson, M. M.; Eveson, S. P.; Higgins, J. R.
4
2009
Zero-infinity laws in diophantine approximation. Zbl 1204.11117
Bugeaud, Y.; Dodson, M. M.; Kristensen, S.
4
2005
Regular systems, ubiquity and Diophantine approximation. Zbl 1073.11050
Beresnevich, V. V.; Bernik, V. I.; Dodson, M. M.
4
2002
Simultaneous diophantine approximation and asymptotic formulae on manifolds. Zbl 0858.11041
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
4
1996
Approximating Paley-Wiener functions by smoothed step functions. Zbl 0807.41011
Beaty, M. G.; Dodson, M. M.; Higgins, J. R.
4
1994
Dirichlet’s theorem and diophantine approximation on manifolds. Zbl 0716.11029
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
4
1990
A note on Whittaker’s cardinal series in harmonic analysis. Zbl 0616.43006
Dodson, M. M.; Silva, A. M.; Soucek, V.
4
1986
On Waring’s problem in \(p\)-adic fields. Zbl 0223.10040
Dodson, M. M.
4
1973
An inhomogeneous wave equation and non-linear Diophantine approximation. Zbl 1202.35120
Beresnevich, V.; Dodson, M. M.; Kristensen, S.; Levesley, J.
3
2008
A quantitative Khintchine-Groshev type theorem over a field of formal series. Zbl 1089.11039
Dodson, M. M.; Kristensen, S.; Levesley, J.
3
2005
Darwin’s law of natural selection and Thom’s theory of catastrophes. Zbl 0324.92003
Dodson, M. M.
3
1976
Exceptional sets in dynamical systems and Diophantine approximation. Zbl 1035.37022
Dodson, Maurice
2
2002
The distribution of sampling rates for signals with equally wide, equally spaced spectral bands. Zbl 0777.94003
Beaty, M. G.; Dodson, M. M.
2
1993
Star bodies and Diophantine approximation. Zbl 0757.11021
Dodson, M. M.
2
1991
Derivative sampling for multiband signals. Zbl 0694.94003
Beaty, M. G.; Dodson, M. M.
2
1989
Averaging in multifrequency systems. Zbl 0663.70032
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
2
1989
Abstract exact and approximate sampling theorems. Zbl 1378.42022
Dodson, M. M.
1
2014
Metrical Diophantine approximation for quaternions. Zbl 1370.11089
Dodson, Maurice; Everitt, Brent
1
2014
Approximating signals in the abstract. Zbl 1210.94073
Dodson, M. M.
1
2011
Shannon’s sampling theorem, incongruent residue classes and Plancherel’s theorem. Zbl 1151.94462
Dodson, Maurice M.
1
2002
Hausdorff dimension and \(p\)-adic diophantine approximation. Zbl 1040.11057
Dickinson, H.; Dodson, M. M.; Yuan, J.
1
1999
The Khintchine-Groshev theorem for planar curves. Zbl 0978.11034
Beresnevich, V. V.; Bernik, V. I.; Dickinson, H.; Dodson, M. M.
1
1999
Approximation of real numbers by values of integer polynomials. Zbl 1039.11512
Bernik, V.; Dickenson, H.; Dodson, M.
1
1998
An application of a general sampling theorem. Zbl 0982.94007
Beaty, M. G.; Dodson, M. M.
1
1998
A Khintchine-type version of Schmidt’s theorem for planar curves. Zbl 0978.11033
Bernik, V. I.; Dickinson, H.; Dodson, M. M.
1
1998
The Hausdorff dimension of exceptional sets associated with normal forms. Zbl 0831.11040
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
1
1994
Chord theorems, circle maps and the Borsuk-Ulam antipodal theorem. Zbl 0808.26003
Dodson, M. M.
1
1993
A Brouwer type coincidence theorem and the fundamental theorem of algebra. Zbl 0543.55002
Dodson, M. M.
1
1984
Some estimates for diagonal equations over \(p\)-adic fields. Zbl 0477.10023
Dodson, M. M.
1
1982
Nilpotent topological groups. Zbl 0267.22006
Dodson, M. M.
1
1973
The average order of two arithmetical functions. Zbl 0191.32901
Dodson, M. M.
1
1969
Abstract exact and approximate sampling theorems. Zbl 1378.42022
Dodson, M. M.
1
2014
Metrical Diophantine approximation for quaternions. Zbl 1370.11089
Dodson, Maurice; Everitt, Brent
1
2014
Approximating signals in the abstract. Zbl 1210.94073
Dodson, M. M.
1
2011
Classical metric Diophantine approximation revisited. Zbl 1236.11064
Beresnevich, Victor; Bernik, Vasily; Dodson, Maurice; Velani, Sanju
15
2009
Diophantine approximation, Khintchine’s theorem, torus geometry and Hausdorff dimension. Zbl 1235.11072
Dodson, M. M.
4
2009
On the approximate form of Kluvánek’s theorem. Zbl 1178.94167
Beaty, M. G.; Dodson, M. M.; Eveson, S. P.; Higgins, J. R.
4
2009
An inhomogeneous wave equation and non-linear Diophantine approximation. Zbl 1202.35120
Beresnevich, V.; Dodson, M. M.; Kristensen, S.; Levesley, J.
3
2008
Groups and the sampling theorem. Zbl 1156.94317
Dodson, M. M.
5
2007
A converse to Kluvánek’s theorem. Zbl 1128.94004
Beaty, M. G.; Dodson, M. M.; Eveson, S. P.
5
2007
Zero-infinity laws in diophantine approximation. Zbl 1204.11117
Bugeaud, Y.; Dodson, M. M.; Kristensen, S.
4
2005
A quantitative Khintchine-Groshev type theorem over a field of formal series. Zbl 1089.11039
Dodson, M. M.; Kristensen, S.; Levesley, J.
3
2005
Hausdorff dimension and Diophantine approximation. Zbl 1196.11104
Dodson, Maurice M.; Kristensen, Simon
5
2004
The Whittaker-Kotel’nikov-Shannon theorem, spectral translates and Plancherel’s formula. Zbl 1059.94006
Beaty, M. G.; Dodson, M. M.
5
2004
On the Hausdorff dimension of sets of well-approximable points on nondegenerate curves. Zbl 1177.11066
Beresnevich, V. V.; Bernik, V. I.; Dodson, M. M.
5
2002
Regular systems, ubiquity and Diophantine approximation. Zbl 1073.11050
Beresnevich, V. V.; Bernik, V. I.; Dodson, M. M.
4
2002
Exceptional sets in dynamical systems and Diophantine approximation. Zbl 1035.37022
Dodson, Maurice
2
2002
Shannon’s sampling theorem, incongruent residue classes and Plancherel’s theorem. Zbl 1151.94462
Dodson, Maurice M.
1
2002
Simultaneous Diophantine approximation on the circle and Hausdorff dimension. Zbl 0992.11046
Dickinson, H.; Dodson, M. M.
12
2001
Extremal manifolds and Hausdorff dimension. Zbl 0973.11073
Dickinson, H.; Dodson, M. M.
10
2000
Metric Diophantine approximation on manifolds. Zbl 0933.11040
Bernik, V. I.; Dodson, M. M.
80
1999
Hausdorff dimension and \(p\)-adic diophantine approximation. Zbl 1040.11057
Dickinson, H.; Dodson, M. M.; Yuan, J.
1
1999
The Khintchine-Groshev theorem for planar curves. Zbl 0978.11034
Beresnevich, V. V.; Bernik, V. I.; Dickinson, H.; Dodson, M. M.
1
1999
Approximation of real numbers by values of integer polynomials. Zbl 1039.11512
Bernik, V.; Dickenson, H.; Dodson, M.
1
1998
An application of a general sampling theorem. Zbl 0982.94007
Beaty, M. G.; Dodson, M. M.
1
1998
A Khintchine-type version of Schmidt’s theorem for planar curves. Zbl 0978.11033
Bernik, V. I.; Dickinson, H.; Dodson, M. M.
1
1998
A note on metric inhomogeneous diophantine approximation. Zbl 0887.11031
Dodson, M. M.
7
1997
Simultaneous diophantine approximation and asymptotic formulae on manifolds. Zbl 0858.11041
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
4
1996
Patterson measure and ubiquity. Zbl 0816.11043
Dodson, M. M.; Melián, M. V.; Pestana, D.; Velani, S. L.
10
1995
Approximating Paley-Wiener functions by smoothed step functions. Zbl 0807.41011
Beaty, M. G.; Dodson, M. M.; Higgins, J. R.
4
1994
The Hausdorff dimension of exceptional sets associated with normal forms. Zbl 0831.11040
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
1
1994
Geometric and probabilistic ideas in metric Diophantine approximation. Zbl 0831.11039
Dodson, M. M.
9
1993
The distribution of sampling rates for signals with equally wide, equally spaced spectral bands. Zbl 0777.94003
Beaty, M. G.; Dodson, M. M.
2
1993
Chord theorems, circle maps and the Borsuk-Ulam antipodal theorem. Zbl 0808.26003
Dodson, M. M.
1
1993
Hausdorff dimension, lower order and Khintchine’s theorem in metric Diophantine approximation. Zbl 0749.11036
Dodson, M. M.
14
1992
The Hausdorff dimension of small divisors for lower-dimensional KAM-tori. Zbl 0778.11042
Dodson, M. M.; Pöschel, J.; Rynne, B. P.; Vickers, J. A. G.
5
1992
Khintchine-type theorems on manifolds. Zbl 0736.11040
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
9
1991
Star bodies and Diophantine approximation. Zbl 0757.11021
Dodson, M. M.
2
1991
Diophantine approximation and a lower bound for Hausdorff dimension. Zbl 0688.10049
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
20
1990
Dirichlet’s theorem and diophantine approximation on manifolds. Zbl 0716.11029
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
4
1990
Metric diophantine approximation and Hausdorff dimension on manifolds. Zbl 0677.10040
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
12
1989
Derivative sampling for multiband signals. Zbl 0694.94003
Beaty, M. G.; Dodson, M. M.
2
1989
Averaging in multifrequency systems. Zbl 0663.70032
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
2
1989
The Hausdorff dimension of systems of linear forms. Zbl 0534.10025
Bovey, J. D.; Dodson, M. M.
12
1986
Exceptional sets in Kolmogorov-Arnol’d-Moser theory. Zbl 0605.34041
Dodson, M. M.; Vickers, J. A. G.
5
1986
A note on Whittaker’s cardinal series in harmonic analysis. Zbl 0616.43006
Dodson, M. M.; Silva, A. M.; Soucek, V.
4
1986
Fourier analysis and the sampling theorem. Zbl 0583.42003
Dodson, M. M.; Silva, A. M.
10
1985
A Brouwer type coincidence theorem and the fundamental theorem of algebra. Zbl 0543.55002
Dodson, M. M.
1
1984
Some estimates for diagonal equations over \(p\)-adic fields. Zbl 0477.10023
Dodson, M. M.
1
1982
The fractional dimension of sets whose simultaneous rational approximations have errors with a small product. Zbl 0384.10013
Bovey, J. D.; Dodson, M. M.
5
1978
A note on Waring’s problem in \(GF(p)\). Zbl 0289.10032
Dodson, M. M.; Tietäväinen, A.
7
1976
Darwin’s law of natural selection and Thom’s theory of catastrophes. Zbl 0324.92003
Dodson, M. M.
3
1976
On Waring’s problem in \(p\)-adic fields. Zbl 0223.10040
Dodson, M. M.
4
1973
Nilpotent topological groups. Zbl 0267.22006
Dodson, M. M.
1
1973
On Waring’s problem in \(GF(p)\). Zbl 0221.10019
Dodson, M. M.
6
1971
The average order of two arithmetical functions. Zbl 0191.32901
Dodson, M. M.
1
1969
Homogeneous additive congruences. Zbl 0139.27102
Dodson, M.
15
1967
all top 5

Cited by 241 Authors

16 Hussain, Mumtaz
13 Beresnevich, Victor V.
10 Dodson, Maurice M.
10 Simmons, David
9 Bugeaud, Yann
9 Kristensen, Simon
9 Velani, Sanju L.
8 Bernik, Vasiliĭ Ivanovich
7 Levesley, Jason
6 Higgins, John Rowland
6 Kleinbock, Dmitry Ya.
6 Seuret, Stéphane
5 Barral, Julien
5 Fishman, Lior
5 Knapp, Michael P.
5 Rynne, Bryan P.
5 Wang, Baowei
4 Budarina, Natalia Viktorovna
4 Dickinson, H.
4 Dodson, M. Maurice
4 Ghosh, Anish
4 Huang, Jingjing
4 Kovalevskaya, Èlla Ivanovna
4 Schleischitz, Johannes
3 Allen, Demi
3 Badziahin, Dzmitry A.
3 Cochrane, Todd
3 Dickinson, Detta
3 García, Antonio G.
3 Götze, Friedrich W.
3 Hambrook, Kyle
3 Hernández-Medina, Miguel Ángel
3 Merrill, Keith
3 Sevryuk, Mikhail Borisovich
3 Stens, Rudolf L.
3 Vinti, Gianluca
2 Adiceam, Faustin
2 Alnaser, Ala’ Jamil
2 Beaty, M. G.
2 Butzer, Paul Leo
2 De Saxcé, Nicolas
2 Ehrhardt, Torsten
2 Ferreira, Paulo Jorge S. G.
2 Godinho, Hemar
2 Gusakova, Anna Grigorevna
2 Harrap, Stephen B.
2 Haynes, Alan K.
2 Kaliada, Dzianis
2 Klotz, Lutz Peter
2 Kukso, Olga
2 Ma, Chao
2 Medina, Juan Miguel
2 Mohammadi, Amir
2 Paulin, Frédéric
2 Pérez-Villalón, Gerardo
2 Rodrigues, Paulo H. A.
2 Salehi Golsefidy, Alireza
2 Schmeisser, Gerhard
2 Shah, Nimish A.
2 Solé, Patrick
2 Tietäväinen, Aimo A.
2 Urbański, Mariusz
2 Vaughan, Robert C.
2 Veras, Daiane S.
2 Vickers, J. A. G.
2 Wu, Jun
2 Yusupova, Tatiana
2 Zorin, Evgeniy V.
1 Aistleitner, Christoph
1 Aka, Menny
1 Aldroubi, Akram
1 Amou, Masaaki
1 Aubry, Jan-Marie
1 Avdonin, Sergeĭ Anatol’evich
1 Baier, Stephan
1 Baker, Simon
1 Bakhtawar, Ayreena
1 Bansal, Arpit
1 Bardaro, Carlo
1 Boche, Holger
1 Bos, Philip
1 Breuillard, Emmanuel
1 Broer, Henk W.
1 Brüdern, Jörg
1 Budarina, Nataliya Viktorovna
1 Bulanova, Anna
1 Cabrelli, Carlos A.
1 Cao, Rongmei
1 Chen, Changhao
1 Cheung, Yitwah
1 Chevallier, Nicolas
1 Cipra, James Arthur
1 Cook, Richard J.
1 Coons, Michael
1 Costarelli, Danilo
1 Das, Tushar Kanti
1 Davydova, V. A.
1 Deakin, Michael A. B.
1 Di Vizio, Lucia
1 Druţu, Cornelia
...and 141 more Authors
all top 5

Cited in 96 Serials

22 Journal of Number Theory
12 Mathematika
11 Mathematical Proceedings of the Cambridge Philosophical Society
11 Advances in Mathematics
6 Journal of Mathematical Analysis and Applications
5 Mathematische Annalen
5 Transactions of the American Mathematical Society
5 Ergodic Theory and Dynamical Systems
5 Journal de Théorie des Nombres de Bordeaux
4 Applicable Analysis
4 Israel Journal of Mathematics
4 Lithuanian Mathematical Journal
4 Acta Arithmetica
4 Results in Mathematics
4 International Journal of Number Theory
3 Inventiones Mathematicae
3 Journal of Functional Analysis
3 Michigan Mathematical Journal
3 Monatshefte für Mathematik
3 The Journal of Fourier Analysis and Applications
2 Bulletin of the Australian Mathematical Society
2 Discrete Mathematics
2 Mathematical Biosciences
2 Duke Mathematical Journal
2 Journal of Differential Equations
2 Journal für die Reine und Angewandte Mathematik
2 Journal of Soviet Mathematics
2 Mathematische Zeitschrift
2 Memoirs of the American Mathematical Society
2 Numerical Functional Analysis and Optimization
2 Acta Mathematica Hungarica
2 Geometric and Functional Analysis. GAFA
2 Indagationes Mathematicae. New Series
2 Journal of Mathematical Sciences (New York)
2 Fractals
2 Selecta Mathematica. New Series
2 Chaos
2 Annals of Mathematics. Second Series
2 Trudy Instituta Matematiki
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Advances in Applied Probability
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Discrete Applied Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Statistical Physics
1 Mathematische Semesterberichte
1 Nonlinearity
1 Rocky Mountain Journal of Mathematics
1 Arkiv för Matematik
1 Mathematics of Computation
1 Bulletin of Mathematical Biology
1 Chaos, Solitons and Fractals
1 Annales de l’Institut Fourier
1 The Annals of Probability
1 Commentationes Mathematicae Universitatis Carolinae
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Publications Mathématiques
1 Journal of Approximation Theory
1 Manuscripta Mathematica
1 Mathematica Slovaca
1 Nagoya Mathematical Journal
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Topology and its Applications
1 Constructive Approximation
1 Journal of the American Mathematical Society
1 MCSS. Mathematics of Control, Signals, and Systems
1 Journal of Integral Equations and Applications
1 Science in China. Series A
1 L’Enseignement Mathématique. 2e Série
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Finite Fields and their Applications
1 The New York Journal of Mathematics
1 Discrete and Continuous Dynamical Systems
1 Documenta Mathematica
1 Acta Mathematica et Informatica Universitatis Ostraviensis
1 The Ramanujan Journal
1 Annals of Combinatorics
1 International Journal of Applied Mathematics and Computer Science
1 Journal of Dynamical and Control Systems
1 Integers
1 Advanced Nonlinear Studies
1 Central European Journal of Mathematics
1 International Journal of Wavelets, Multiresolution and Information Processing
1 Mediterranean Journal of Mathematics
1 Chebyshevskiĭ Sbornik
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Noncommutative Geometry
1 Acta Mathematica Universitatis Ostraviensis
1 Bulletin of Mathematical Sciences
1 Carpathian Mathematical Publications

Citations by Year

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