Accepted

• M. Chamberland and A. Straub (2020),
  Apéry Limits: Experiments and Proofs
  American Mathematical Monthly

Published

• 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

• M. Chamberland and G.M.L. Gladwell (1995),
  Translation-Invariant Rotation-Invariant Spaces of Continuous Functions and the Pompeiu Problem
  (A result from this paper was used in my paper "Mean Value Integral Equations ...")