# zbMATH — the first resource for mathematics

## Chamberland, Marc

Compute Distance To:
 Author ID: chamberland.marc Published as: Chamberland, Marc; Chamberland, M.
 Documents Indexed: 48 Publications since 1993, including 3 Books
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#### Co-Authors

 20 single-authored 3 Gladwell, Graham M. L. 2 Dilcher, Karl 2 Gasull, Armengol 2 Herman, Eugene A. 2 Martelli, Mario 2 Siegel, David 1 Andriychenko, Oleksiy 1 Borwein, Jonathan Michael 1 Brown, Ezra A. 1 Cima, Anna 1 Cressman, Ross 1 French, Christopher P. 1 Jing, Shida 1 Johnson, Colin G. 1 Lewis, Adrian S. 1 Llibre, Jaume 1 Lopatto, Patrick 1 Mañosas, Francesc 1 Meisters, Gary Hosler 1 Moll, Victor Hugo 1 Nadeau, Alice N. 1 Straub, Armin 1 Suri, Sanah 1 Świrszcz, Grzegorz M. 1 van den Essen, Arno 1 Willms, N. B. 1 Wu, Bingxi 1 Zeilberger, Doron
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#### Serials

 4 American Mathematical Monthly 4 Journal of Difference Equations and Applications 3 Journal of Number Theory 3 Journal of Integer Sequences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematics Magazine 2 The Mathematical Intelligencer 2 Canadian Mathematical Bulletin 2 The Fibonacci Quarterly 2 Discrete and Continuous Dynamical Systems 1 Inverse Problems 1 Mathematical Methods in the Applied Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Optimization Theory and Applications 1 Journal of Pure and Applied Algebra 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Advances in Applied Mathematics 1 Mathematical and Computer Modelling 1 Games and Economic Behavior 1 Linear Algebra and its Applications 1 The Canadian Applied Mathematics Quarterly 1 The Electronic Journal of Combinatorics 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 The Ramanujan Journal 1 Qualitative Theory of Dynamical Systems
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#### Fields

 20 Number theory (11-XX) 9 Dynamical systems and ergodic theory (37-XX) 6 Combinatorics (05-XX) 5 Special functions (33-XX) 5 Partial differential equations (35-XX) 4 General and overarching topics; collections (00-XX) 4 Algebraic geometry (14-XX) 4 Real functions (26-XX) 4 Ordinary differential equations (34-XX) 2 History and biography (01-XX) 2 Difference and functional equations (39-XX) 2 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 Commutative algebra (13-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)

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