Selected Publications
Accepted
Published
-
M. Chamberland and A. Straub
(2021),
Apéry Limits: Experiments and Proofs
American Mathematical Monthly
128(9), 811-824.
-
M. Chamberland
(2020),
When are all the Zeros of a Polynomial Real and Distinct?
American Mathematical Monthly
127(5), 449-451.
-
M. Chamberland, S. Jing, S. Suri
(2020),
A Generlization of the One-Seventh Ellipse
Mathematics Magazine
93(4), 271-275.
-
M. Chamberland and E. Herman
(2019),
Arctangent Formulas and Pi
American Mathematical Monthly
126(7), 646-650.
-
M. Chamberland
(2015),
Single Digits
Princeton University Press
-
M. Chamberland
(2015),
Averaging Structure in the 3x + 1 Problem
Journal of Number Theory
148 , 384--397.
-
M. Chamberland and E.A. Herman
(2015),
Rock-Paper-Scissors meets Borromean Rings
The Mathematical Intelligencer
37(2), 20--25.
-
M. Chamberland and D. Zeilberger
(2014),
A Short Proof of McDougall's Circle Theorem
,
American Mathematical Monthly
121(3) , 263-265.
-
M. Chamberland and A. Straub
(2013),
On gamma quotients and infinite products
,
Advances in Applied Mathematics
51(5) , 546-562.
-
M. Chamberland, C. Johnson, A. Nadeau, and B. Wu
(2013),
Multiplicative Partitions
,
Electronic Journal of Combinatorics
20(2), #P57.
-
M. Chamberland
(2013),
Factored Matrices can generate Combinatorial Identities
,
Linear Algebra and its Applications
438, 1667-1677.
-
M. Chamberland
(2012),
Finite Trigonometric Product and Sum Identities
,
Fibonacci Quarterly
50(3), 217-221.
-
E. Brown and M. Chamberland
(2012),
Generalizing Gauss's Gem
,
American Mathematical Monthly
119(7), 597-601.
-
M. Chamberland and P. Lopatto,
(2011),
Formulas for Odd Zeta Values and Powers of Pi
,
Journal of Integer Sequences
14 , article 11.2.5, 1-5.
-
M. Chamberland and A. Gasull(2010),
Chini equations and isochronous centers
in three dimensional differential systems
,
Qualitative Theory of Dynamical Systems.
9, 29-38.
-
M. Chamberland and K. Dilcher (2009),
A binomial sum related to Wolstenholme's theorem
,
Journal of Number Theory.
129, 2659-2672.
-
M. Chamberland (2009),
Ramanujan's 6-8-10 Equation and Beyond
,
Mathematics Magazine.
82, 135-140.
-
M. Chamberland (2009),
The Collatz Chameleon ,
Biscuits in Number Theory
Dolciani Mathematical Expositions 34, 217-222.
Mathematical Association of America.
-
M. Chamberland (2008),
A Natural Extension of the Pythagorean Equation to Higher Dimensions
,
The Ramanujan Journal.
16, 169-179.
-
M. Chamberland (2008),
Using Integer Relations Algorithms for finding Relationships among Functions
,
Contemporary Mathematics,
457
,(2008),
127--133,
"Tapas in Experimental Mathematics",
AMS Special Session on Experimental Mathematics,
January 5, 2007, New Orleans, LA, T. Amdeberhan and
V. Moll editors.
-
M. Chamberland and M. Martelli (2007),
The Mean-Median Map,
Journal of Difference Equations and Applications
13, 577-583.
-
J. Borwein and M. Chamberland (2007),
Integer Powers of Arcsin
,
International Journal of Mathematics and Mathematical Sciences
-
M. Chamberland, A. Cima, A. Gasull, and F. Mañosas,
(2007),
Characterizing Asymptotic Stability with Dulac Functions,
Discrete and Continuous Dynamical Systems
17, 59-76.
-
M. Chamberland and C. French,
(2006),
Generalized Catalan Numbers and Generalized Hankel Transformations
,
Journal of Integer Sequences
10 , article 07.1.1, 1-7.
-
M. Chamberland and Karl Dilcher, (2006),
Divisibility Properties of a Class of Binomial Sums
,
Journal of Number Theory,
120, 349-371.
-
M. Chamberland and Victor H. Moll, (2006),
Dynamics of the degree six Landen
Transformation,
Discrete and Continuous Dynamical Systems,
15, 905-919.
-
M. Chamberland, (2006),
Dynamics of Maps with
Nilpotent Jacobians,
Journal of Difference Equations and Applications,
12, 49-56.
-
M. Chamberland and Arno van den Essen, (2006),
Nilpotent Jacobians in Dimension Three,
Journal of Pure and Applied Algebra,
205 , 146-155.
-
M. Chamberland, J. Llibre and G. Swirszcz (2004),
Weakened Markus-Yamabe conditions for
2-dimensional global asymptotic stability,
Nonlinear Analysis ,
59 , 951-958.
-
M. Chamberland and D. Thomas (2004),
The N - Number Ducci Game - Open Problems,
Journal of Difference Equations and Applications,
10 , 339-342
-
M. Chamberland (2003),
Una actualizacio del problema 3x+1
(Catalan, translated by Toni Guillamon i Grabolosa)
[An Update on the 3x+1 Problem],
Butlleti de la Societat Catalana de Matematiques
18 , 19--45.
-
M. Chamberland (2003),
Binary BBP-Formulas for Logarithms and Generalized Gaussian Mersenne Primes,
Journal of Integer Sequences
6 , article 03.3.7, 1-10.
-
M. Chamberland (2003),
Characterizing Two-dimensional Maps whose Jacobians have Constant Eigenvalues,
Canadian Mathematical Bulletin,
46 , 323-331
-
M. Chamberland (2003),
Unbounded Ducci Sequences,
Journal of Difference Equations and Applications
9 , 887-895
-
M. Chamberland and M. Martelli (2003),
Unbounded Orbits and Binary Digits,
Journal of Difference Equations and Applications
9 , 687-691
-
M. Chamberland and D. Siegel (2001),
Polynomial Solutions to Dirichlet Problems,
Proceedings of the American Mathematical Society 129(1),
211-217.
-
O. Andriychenko and M. Chamberland (2000),
Iterated Strings and Cellular Automata,
Mathematical Intelligencer 22(4), 33-36
-
M. Chamberland (2000),
Diffeomorphic Real-Analytic Maps and the Jacobian Conjecture,
Mathematical and Computer Modelling 32, 727-732.
-
M. Chamberland (2000),
Families of Solutions of a Cubic Diophantine Equation,
Fibonacci Quarterly 38(3), 250-253
-
M. Chamberland and R. Cressman (2000),
An Example of Dynamic
(In)Consistency in Symmetric Extensive Form Evolutionary Games,
Games and Economic Behavior 30, 319-326
-
M. Chamberland and G.H. Meisters (1998),
A Mountain Pass to the Jacobian Conjecture,
Canadian Mathematical Bulletin
41(5), 442-451
-
M. Chamberland (1998),
Global Asymptotic Stability and the Jacobian Conjecture,
Canadian Applied Mathematical Quarterly
5, 331-339.
-
M. Chamberland and D. Siegel (1997),
Convex Domains with Stationary Hot Spots,
Mathematical Methods in the Applied Sciences
20, 1163-1169.
-
M. Chamberland (1996),
A Continuous Extension of the 3x+1 Problem to the Real Line,
Dynamics of Continuous, Discrete and Impulsive Systems
2, 495-509.
-
M. Chamberland (1996),
Mean Value Integral Equations and the Helmholtz Equation,
Results in Mathematics
30, 39-44.
(Makes use of a result from my unpublished paper
"Translation-Invariant...")
-
M. Chamberland and G.M.L. Gladwell (1995),
A Characterization of the Disc by Sets of Uniqueness,
Zeitschrift fur die Angewandte Mathematik und Physik
46, 807-811.
-
N.B. Willms, M. Chamberland and G.M.L. Gladwell (1995),
A Duality Theorem for an Overdetermined Eigenvalue Problem,
Zeitschrift fur die Angewandte Mathematik und Physik
46, 623-629.
-
M. Chamberland and A.S. Lewis (1994),
Contours of Liapunov Functions,
Journal of Optimization Theory and Applications
80(1), 149-160.
-
M. Chamberland and G.M.L. Gladwell (1993),
On Transforming Three-Dimensional Inverse-Scattering Problems to One Dimension,
Inverse Problems
9, 241-249.
-
M. Chamberland and V. Zeidan (1992),
Second Order Necessity
and Sufficiency Theory for the Free Final Time Problem,
proceedings of the conference on Decision and Control,
Arizona.
Unpublished Papers