Accepted

• M. Chamberland and E.A. Herman (2025), Stirling’s Formula Without Calculus, American Mathematical Monthly

   

Published

• J. Blanchard and M. Chamberland (2024), Salvaging College Registrations During COVID-19 via Integer Programming.
  Mathematics Magazine
• J. Blanchard and M. Chamberland (2023), Newton’s Method without Division. American Mathematical Monthly 130(7), 606-617
• 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 Transformatio. Discrete and Continuous Dynamical Systems, 15, 905-919.
• M. Chamberland, (2006), Dynamics of Maps with Nilpotent Jacobian. 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 …”).