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Michael Coons
Michael Coons
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On the rational approximation of the sum of the reciprocals of the Fermat numbers
M Coons
The Ramanujan Journal 30 (1), 39-65, 2013
372013
Completely multiplicative functions taking values in {-1, 1}
P Borwein, S Choi, M Coons
Transactions of the American Mathematical Society 362 (12), 6279-6291, 2010
362010
The rational-transcendental dichotomy of Mahler functions
JP Bell, M Coons, E Rowland
arXiv preprint arXiv:1210.2070, 2012
292012
The minimal growth of a-regular sequence
JP Bell, M Coons, KG Hare
Bulletin of the Australian Mathematical Society 90 (2), 195-203, 2014
252014
Algebraic independence of Mahler functions via radial asymptotics
RP Brent, M Coons, W Zudilin
International Mathematics Research Notices 2016 (2), 571-603, 2016
222016
Diophantine approximation of Mahler numbers
JP Bell, Y Bugeaud, M Coons
Proceedings of the London Mathematical Society 110 (5), 1157-1206, 2015
222015
The transcendence of series related to Stern's diatomic sequence
M Coons
International Journal of Number Theory 6 (01), 211-217, 2010
222010
Transcendence tests for Mahler functions
J Bell, M Coons
Proceedings of the American Mathematical Society 145 (3), 1061-1070, 2017
212017
Transcendence of power series for some number theoretic functions
P Borwein, M Coons
Proceedings of the American Mathematical Society 137 (4), 1303-1305, 2009
212009
Transcendence of generating functions whose coefficients are multiplicative
J Bell, N Bruin, M Coons
Transactions of the American Mathematical Society 364 (2), 933-959, 2012
202012
The maximal order of Stern's diatomic sequence
M Coons, J Tyler
arXiv preprint arXiv:1307.1521, 2013
192013
An irrationality measure for regular paperfolding numbers
M Coons, P Vrbik
Journal of Integer sequences 15 (2), 3, 2012
152012
A natural probability measure derived from Stern's diatomic sequence
M Baake, M Coons
arXiv preprint arXiv:1706.00187, 2017
142017
Growth degree classification for finitely generated semigroups of integer matrices
JP Bell, M Coons, KG Hare
Semigroup Forum 92, 23-44, 2016
122016
(Non) automaticity of number theoretic functions
M Coons
Journal de théorie des nombres de Bordeaux 22 (2), 339-352, 2010
112010
Becker’s conjecture on Mahler functions
J Bell, F Chyzak, M Coons, P Dumas
Transactions of the American Mathematical Society 372 (5), 3405-3423, 2019
92019
Binary constant-length substitutions and Mahler measures of Borwein polynomials
M Baake, M Coons, N Mañibo
Jonathan M. Borwein Commemorative Conference, 303-322, 2017
92017
Number theoretic aspects of regular sequences
M Coons, L Spiegelhofer
Sequences, groups, and number theory, 37-87, 2018
82018
Extension of some theorems of W. Schwarz
M Coons
Canadian Mathematical Bulletin 55 (1), 60-66, 2012
82012
A DICHOTOMY LAW FOR THE DIOPHANTINE PROPERTIES IN-DYNAMICAL SYSTEMS
M Coons, M Hussain, BW Wang
Mathematika 62 (3), 884-897, 2016
72016
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