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Chamberland, Marc

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Author ID: chamberland.marc Recent zbMATH articles by "Chamberland, Marc"
Published as: Chamberland, Marc; Chamberland, M.
Documents Indexed: 48 Publications since 1993, including 3 Books

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 121 times in 113 Documents Cited by Year
A mountain pass to the Jacobian conjecture. Zbl 0947.14030
Chamberland, Marc; Meisters, Gary
12
1998
Polynomial solutions to Dirichlet problems. Zbl 0954.31002
Chamberland, Marc; Siegel, David
12
2001
On gamma quotients and infinite products. Zbl 1301.33002
Chamberland, Marc; Straub, Armin
9
2013
Generalized Catalan numbers and generalized Hankel transformations. Zbl 1116.11009
Chamberland, Marc; French, Christopher
6
2007
Characterizing two-dimensional maps whose Jacobians have constant eigenvalues. Zbl 1041.26004
Chamberland, Marc
6
2003
Nilpotent Jacobians in dimension three. Zbl 1085.14052
Chamberland, Marc; van den Essen, Arno
6
2006
A duality theorem for an overdetermined eigenvalue problem. Zbl 0842.35066
Willms, N. B.; Chamberland, Marc; Gladwell, G. M. L.
6
1995
Divisibility properties of a class of binomial sums. Zbl 1139.11013
Chamberland, Marc; Dilcher, Karl
6
2006
An example of dynamic (in)consistency in symmetric extensive form evolutionary games. Zbl 1038.91508
Chamberland, Marc; Cressman, Ross
5
2000
Integer powers of arcsin. Zbl 1137.33300
Borwein, Jonathan M.; Chamberland, Marc
5
2007
Dynamics of the degree six Landen transformation. Zbl 1129.33009
Chamberland, Marc; Moll, Victor H.
4
2006
Convex domains with stationary hot spots. Zbl 0913.35053
Chamberland, Marc; Siegel, David
4
1997
Dynamics of maps with nilpotent Jacobians. Zbl 1085.37020
Chamberland, Marc
4
2006
The mean-median map. Zbl 1119.37033
Chamberland, Marc; Martelli, Mario
3
2007
Weakened Markus–Yamabe conditions for 2-dimensional global asymptotic stability. Zbl 1081.34048
Chamberland, Marc; Llibre, Jaume; Świrszcz, Grzegorz
3
2004
Multiplicative partitions. Zbl 1295.05043
Chamberland, Marc; Johnson, Colin; Nadeau, Alice; Wu, Bingxi
2
2013
Global asymptotic stability, additive neural networks, and the Jacobian conjecture. Zbl 0917.34040
Chamberland, Marc
2
1997
Iterated strings and cellular automata. Zbl 1052.37503
Andriychenko, Oleksiy; Chamberland, Marc
2
2000
Diffeomorphic real-analytic maps and the Jacobian conjecture. Zbl 1095.26512
Chamberland, M.
2
2000
A continuous extension of the \(3X+1\) problem to the real line. Zbl 0874.11017
Chamberland, Marc
2
1996
Unbounded Ducci sequences. Zbl 1049.11014
Chamberland, Marc
2
2003
Finite trigonometric product and sum identities. Zbl 1290.11020
Chamberland, Marc
2
2012
Binary BBP-formulae for logarithms and generalized Gaussian-Mersenne primes. Zbl 1073.11076
Chamberland, Marc
2
2003
Chini equations and isochronous centers in three-dimensional differential systems. Zbl 1364.34055
Chamberland, Marc; Gasull, Armengol
2
2010
A binomial sum related to Wolstenholme’s theorem. Zbl 1241.11016
Chamberland, Marc; Dilcher, Karl
2
2009
Averaging structure in the \(3x+1\) problem. Zbl 1332.11032
Chamberland, Marc
1
2015
Single digits. In praise of small numbers. Zbl 1417.00001
Chamberland, Marc
1
2015
A short proof of McDougall’s circle theorem. Zbl 1303.51006
Chamberland, Marc; Zeilberger, Doron
1
2014
Factored matrices can generate combinatorial identities. Zbl 1259.05019
Chamberland, Marc
1
2013
Formulas for odd zeta values and powers of \(\pi \). Zbl 1229.11112
Chamberland, Marc; Lopatto, Patrick
1
2011
Rock-paper-scissors meets Borromean rings. Zbl 1328.05071
Chamberland, Marc; Herman, Eugene A.
1
2015
Mean value integral equations and the Helmholtz equation. Zbl 0872.39013
Chamberland, Marc
1
1996
Characterizing asymptotic stability with Dulac functions. Zbl 1200.34056
Chamberland, Marc; Cima, Anna; Gasull, Armengol; Mañosas, Francesc
1
2007
A natural extension of the Pythagorean equation to higher dimensions. Zbl 1188.11010
Chamberland, Marc
1
2008
A \(3x+1\) survey: number theory and dynamical systems. Zbl 1230.11027
Chamberland, Marc
1
2010
Averaging structure in the \(3x+1\) problem. Zbl 1332.11032
Chamberland, Marc
1
2015
Single digits. In praise of small numbers. Zbl 1417.00001
Chamberland, Marc
1
2015
Rock-paper-scissors meets Borromean rings. Zbl 1328.05071
Chamberland, Marc; Herman, Eugene A.
1
2015
A short proof of McDougall’s circle theorem. Zbl 1303.51006
Chamberland, Marc; Zeilberger, Doron
1
2014
On gamma quotients and infinite products. Zbl 1301.33002
Chamberland, Marc; Straub, Armin
9
2013
Multiplicative partitions. Zbl 1295.05043
Chamberland, Marc; Johnson, Colin; Nadeau, Alice; Wu, Bingxi
2
2013
Factored matrices can generate combinatorial identities. Zbl 1259.05019
Chamberland, Marc
1
2013
Finite trigonometric product and sum identities. Zbl 1290.11020
Chamberland, Marc
2
2012
Formulas for odd zeta values and powers of \(\pi \). Zbl 1229.11112
Chamberland, Marc; Lopatto, Patrick
1
2011
Chini equations and isochronous centers in three-dimensional differential systems. Zbl 1364.34055
Chamberland, Marc; Gasull, Armengol
2
2010
A \(3x+1\) survey: number theory and dynamical systems. Zbl 1230.11027
Chamberland, Marc
1
2010
A binomial sum related to Wolstenholme’s theorem. Zbl 1241.11016
Chamberland, Marc; Dilcher, Karl
2
2009
A natural extension of the Pythagorean equation to higher dimensions. Zbl 1188.11010
Chamberland, Marc
1
2008
Generalized Catalan numbers and generalized Hankel transformations. Zbl 1116.11009
Chamberland, Marc; French, Christopher
6
2007
Integer powers of arcsin. Zbl 1137.33300
Borwein, Jonathan M.; Chamberland, Marc
5
2007
The mean-median map. Zbl 1119.37033
Chamberland, Marc; Martelli, Mario
3
2007
Characterizing asymptotic stability with Dulac functions. Zbl 1200.34056
Chamberland, Marc; Cima, Anna; Gasull, Armengol; Mañosas, Francesc
1
2007
Nilpotent Jacobians in dimension three. Zbl 1085.14052
Chamberland, Marc; van den Essen, Arno
6
2006
Divisibility properties of a class of binomial sums. Zbl 1139.11013
Chamberland, Marc; Dilcher, Karl
6
2006
Dynamics of the degree six Landen transformation. Zbl 1129.33009
Chamberland, Marc; Moll, Victor H.
4
2006
Dynamics of maps with nilpotent Jacobians. Zbl 1085.37020
Chamberland, Marc
4
2006
Weakened Markus–Yamabe conditions for 2-dimensional global asymptotic stability. Zbl 1081.34048
Chamberland, Marc; Llibre, Jaume; Świrszcz, Grzegorz
3
2004
Characterizing two-dimensional maps whose Jacobians have constant eigenvalues. Zbl 1041.26004
Chamberland, Marc
6
2003
Unbounded Ducci sequences. Zbl 1049.11014
Chamberland, Marc
2
2003
Binary BBP-formulae for logarithms and generalized Gaussian-Mersenne primes. Zbl 1073.11076
Chamberland, Marc
2
2003
Polynomial solutions to Dirichlet problems. Zbl 0954.31002
Chamberland, Marc; Siegel, David
12
2001
An example of dynamic (in)consistency in symmetric extensive form evolutionary games. Zbl 1038.91508
Chamberland, Marc; Cressman, Ross
5
2000
Iterated strings and cellular automata. Zbl 1052.37503
Andriychenko, Oleksiy; Chamberland, Marc
2
2000
Diffeomorphic real-analytic maps and the Jacobian conjecture. Zbl 1095.26512
Chamberland, M.
2
2000
A mountain pass to the Jacobian conjecture. Zbl 0947.14030
Chamberland, Marc; Meisters, Gary
12
1998
Convex domains with stationary hot spots. Zbl 0913.35053
Chamberland, Marc; Siegel, David
4
1997
Global asymptotic stability, additive neural networks, and the Jacobian conjecture. Zbl 0917.34040
Chamberland, Marc
2
1997
A continuous extension of the \(3X+1\) problem to the real line. Zbl 0874.11017
Chamberland, Marc
2
1996
Mean value integral equations and the Helmholtz equation. Zbl 0872.39013
Chamberland, Marc
1
1996
A duality theorem for an overdetermined eigenvalue problem. Zbl 0842.35066
Willms, N. B.; Chamberland, Marc; Gladwell, G. M. L.
6
1995
all top 5

Cited by 159 Authors

6 Render, Hermann
5 Chamberland, Marc
4 Castañeda, Alvaro
4 Magnanini, Rolando
4 Rabanal, Roland
4 Sakaguchi, Shigeru
3 Dilcher, Karl
3 Guíñez, Víctor
3 Straub, Armin
2 Cabral Balreira, Eduardo
2 Cressman, Ross
2 Ebenfelt, Peter
2 Elaydi, Saber Nasr
2 Guo, Victor J. W.
2 Hoseana, Jonathan
2 Kutnjak, Milan
2 Llibre, Jaume
2 Luís, Rafael
2 Lundberg, Erik
2 Mañosa, Víctor
2 Mencinger, Matej
2 Moll, Victor Hugo
2 Tauraso, Roberto
2 Vignat, Christophe
2 Vivaldi, Franco
2 Yan, Dan
2 Zeng, Jiang
2 Zhang, Jifeng
1 Adegoke, Kunle
1 Agranovsky, Mark L.
1 Akhilesh, P.
1 Alarcón, Begoña
1 Aldawsari, Murdhy
1 Alexandrov, Victor A.
1 Allouche, Jean-Paul Simon
1 Amann, Erwin
1 An, Yulian
1 Aten, Charlotte
1 Banaji, Murad
1 Banerjee, Soumyarup
1 Barry, Paul
1 Barsky, Daniel
1 Bell, Jason P.
1 Bell, Steven R.
1 Bernier, Joackim
1 Bojičić, Radica
1 Bouras, Belgacem
1 Cameron, Naiomi T.
1 Campbell, John Maxwell
1 Castro, Sofia B. S. D.
1 Cellarosi, Francesco
1 Chakraborty, Kalyan
1 Chen, Jinhai
1 Chen, Luonan
1 Cobeli, Cristian
1 Cowan, Charles Wesley
1 Dalmasso, Robert
1 Damba, Purevsuren
1 de Bondt, Michiel
1 Dias, Fabio Scalco
1 Díaz, Mateo
1 El Bachraoui, Mohamed
1 Farina, Alberto
1 Fiedler, Miroslav
1 Gardini, Laura
1 Gasull, Armengol
1 Gaunersdorfer, Andrea
1 Ghodratipour, Nahid
1 Guo, Jin
1 Hashimoto, Koh
1 Hassan, Sk. Sarif
1 Hessami Pilehrood, Khodabakhsh
1 Hessami Pilehrood, Tatiana
1 Hida, Takanori
1 Hoque, Azizul
1 Jiu, Lin
1 Khavinson, Dmitry S.
1 Kionke, Steffen
1 Krattenthaler, Christian Friedrich
1 Kuchment, Peter A.
1 Kuznetsov, Nikolai Germanovich
1 Labouriau, Isabel S.
1 Lagarias, Jeffrey C.
1 Lee, Hojoo
1 Legg, Alan R.
1 Lei, Hong-Bo
1 Lengyel, Tamás
1 Lettieri, Steven
1 Li, Yaoqiang
1 Llorens, Mireia
1 Manna, Dante
1 Manna, Dante V.
1 Maquera, Carlos
1 Martynyuk, Anatoliĭ Andriĭovych
1 Mattarei, Sandro
1 Medina, Luis A.
1 Mello, Luis Fernando O.
1 Menezes, Lucyjane de A. S.
1 Milchtaich, Igal
1 Mu, Lili
...and 59 more Authors
all top 5

Cited in 67 Serials

7 Journal of Mathematical Analysis and Applications
7 Linear Algebra and its Applications
6 Journal of Number Theory
4 Journal d’Analyse Mathématique
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Journal of Difference Equations and Applications
4 Qualitative Theory of Dynamical Systems
4 Computational Methods and Function Theory
3 Transactions of the American Mathematical Society
3 Research in Number Theory
2 Rocky Mountain Journal of Mathematics
2 Acta Arithmetica
2 Monatshefte für Mathematik
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Advances in Applied Mathematics
2 Games and Economic Behavior
2 International Journal of Robust and Nonlinear Control
2 Bulletin of the Brazilian Mathematical Society. New Series
2 International Journal of Number Theory
1 American Mathematical Monthly
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Communications in Mathematical Physics
1 Discrete Mathematics
1 Journal of Mathematical Physics
1 The Mathematical Gazette
1 Mathematical Methods in the Applied Sciences
1 Mathematics of Computation
1 The Mathematical Intelligencer
1 Beiträge zur Algebra und Geometrie
1 Algebra Universalis
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Calcolo
1 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 Functiones et Approximatio. Commentarii Mathematici
1 Journal of Algebra
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Journal of Multivariate Analysis
1 Journal of Optimization Theory and Applications
1 Journal of Statistical Planning and Inference
1 Mathematische Zeitschrift
1 Numerische Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Mathematical Social Sciences
1 Mathematical and Computer Modelling
1 Journal of Dynamics and Differential Equations
1 Indagationes Mathematicae. New Series
1 Potential Analysis
1 International Applied Mechanics
1 Journal of Mathematical Sciences (New York)
1 The Ramanujan Journal
1 Journal of Integer Sequences
1 Communications in Nonlinear Science and Numerical Simulation
1 International Game Theory Review
1 Nonlinear Analysis. Modelling and Control
1 Discrete and Continuous Dynamical Systems. Series B
1 Forum Geometricorum
1 Journal of Applied Mathematics and Computing
1 Mediterranean Journal of Mathematics
1 Analysis and Mathematical Physics
1 Journal of Theoretical Biology
1 Journal of Computational Dynamics
1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

Cited in 38 Fields

37 Number theory (11-XX)
26 Dynamical systems and ergodic theory (37-XX)
21 Partial differential equations (35-XX)
15 Special functions (33-XX)
13 Combinatorics (05-XX)
11 Potential theory (31-XX)
9 Real functions (26-XX)
9 Ordinary differential equations (34-XX)
8 Algebraic geometry (14-XX)
7 Difference and functional equations (39-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Functions of a complex variable (30-XX)
5 Differential geometry (53-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Biology and other natural sciences (92-XX)
2 Sequences, series, summability (40-XX)
2 Approximations and expansions (41-XX)
2 Functional analysis (46-XX)
2 Manifolds and cell complexes (57-XX)
2 Numerical analysis (65-XX)
2 Computer science (68-XX)
1 History and biography (01-XX)
1 General algebraic systems (08-XX)
1 Nonassociative rings and algebras (17-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Operator theory (47-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Systems theory; control (93-XX)

Citations by Year