Below is my list of publications; many of these can be
found on the arXiv.
There is also a section for my other contributions. The "pdf" link will take you to a preprint
version of the article (this may not be the final version); a link with the journal initials
will take you to the final version (when available). If you would like one of my papers, and
no link is provided, please feel free to contact me and I will gladly email you a copy.
preprints, in preparation, and in progress
•  (with J. P. Bell, F. Chyzak and P. Dumas) Becker's conjecture on Mahler functions, preprint, 12 pages.
 •  (coedited with M. Baake, Y. Bugeaud and R. Quispel) A Mahler Selecta, Documenta Mathematica, Book Series, in progress.

published or accepted
38.  (with M. Baake and N. Manibo) Constantlength binary substitutions and Mahler measures of Borwein polynomials, Proceedings of the Jonathan Borwein Commemorative Conference, Springer, 19 pages, to appear. pdf
 37.  Proof of Northshield's conjecture concerning an analogue of Stern's sequence for \(\mathbb{Z}[\sqrt{2}]\), Australasian Journal of Combinatorics, 9 pages, to appear. pdf
 36.  (with M. Baake) A natural probability measure derived from Stern's diatomic sequence, Acta Arithmetica, 12 pages, to appear. pdf
 35.  Mahler takes a regular view of Zaremba, Integers, 15 pages, to appear. pdf
 34.  (with L. Spiegelhofer) Number theoretic aspects of regular sequences,
in ``Sequences, Groups, and Number Theory,'' Birkhauser/Springer, 50 pages, to appear. pdf
 33.  Extension of a theorem of Duffin and Schaeffer, Journal of Integer Sequences 20 (2017), Article 17.9.4, 14. pdf
 32.  An asymptotic approach in Mahler's method,
New Zealand Journal of Mathematics 47 (2017), 2742. pdf
 31.  (with Y. Tachiya) Transcendence over meromorphic functions, Bulletin of the Australian Mathematical Society 95 (2017), no. 3, 393399. BAustMS
 30.  Regular sequences and the joint spectral radius,
International Journal of Foundations of Computer Science 28 (2017), no. 2, 135140. pdf
 29.  (with L. Spiegelhofer) The maximal order of hyper(bary)expansions,
Electronic Journal of Combinatorics 24 (2017), no. 1, #P1.15, 18. pdf EJC
 28.  (with J. P. Bell) Transcendence tests for Mahler functions,
Proceedings of the American Mathematical Society 145 (2017), no. 3, 10611070. pdf
 27.  Zero order estimates for Mahler functions,
New Zealand Journal of Mathematics 46 (2016), 8388. pdf NZJM
 26.  (with M. Hussain and B. Wang) A dichotomy law for the Diophantine properties in βdynamical systems,
Mathematika 62 (2016), no. 3, 884897. pdf
 25.  (with E. Catt and J. Velich) Strong normality and generalised CopelandErdős numbers,
Integers 16 (2016), #A11, 110. pdf
 24.  (with Bell and Hare) Growth degree classification for finitely generated semigroups of integer matrices,
Semigroup Forum 92 (2016), no. 1, 2344. pdf
 23.  (with R. P. Brent and W. Zudilin) Algebraic independence of Mahler functions via radial asymptotics,
International Mathematics Research Notices 2016 (2016), no. 2, 571603. pdf
 22.  (with H. Winning) Powers of two modulo powers of three,
Journal of Integer Sequences 18 (2015), Article 15.6.1, 19. JIS
 21.  (with J. P. Bell and Y. Bugeaud) Diophantine approximation of Mahler numbers,
Proceedings of the London Mathematical Society (3) 110 (2015), no. 5, 11571206. pdf
 20.  Addendum to: On the rational approximation of the sum of the
reciprocals of the Fermat numbers, The Ramanujan Journal 37 (2015), no. 1, 109111. pdf

19.  (with J. Tyler) The maximal order of Stern's diatomic sequence,
Moscow Journal of Combinatorics and Number Theory 4 (2014), iss. 3, 313. pdf
 18.  (with J. P. Bell and K. G. Hare) The minimal growth of a kregular sequence,
Bulletin of the Australian Mathematical Society 90 (2014), no. 2, 195203. pdf
 17.  An arithemtical excursion via Stoneham numbers,
Journal of the Australian Mathematical Society 96 (2014), no. 3, 303315. pdf

16.  (with J. P. Bell and E. Rowland) The rationaltranscendental
dichotomy of Mahler functions, Special Issue in Honour of the 60th Birthday of JeanPaul Allouche
Journal of Integer Sequences 16 (2013), Article 13.2.10, 111.
pdf
 15.  On the rational approximation of the sum of the
reciprocals of the Fermat numbers, The Ramanujan Journal 30 (2013), no. 1, 3965. pdf
RJ

14.  Transcendental solutions of a class of
minimal functional equations, Canadian Mathematical Bulletin 56 (2013), no. 2, 283291.
CMB 
13.  A correlation identity for Stern's diatomic
sequence, Integers 12 (2012), #A3, 15.
INTEGERS 
12.  A note on two conjectures associated to
Goldbach's problem, Publicationes Mathematicae Debrecen 80 (2012), 13. 
11.  (with J. P. Bell and N. Bruin) Transcendence of
generating functions whose coefficients are multiplicative, Transactions of
the American Mathematical Society 364 (2012), no. 2, 933959.
pdf
TAMS 
10.  (with P. Vrbik) An irrationality measure for
paperfolding numbers, Journal of Integer Sequences 15 (2012), Article 12.1.6, 110.
JIS 
9.  Extension of some theorems of W. Schwarz,
Canadian Mathematical Bulletin 55 (2012), no. 1, 6066.
pdf
CMB 
8.  (with J. Shallit) A pattern sequence
approach to Stern's sequence, Discrete Mathematics 311 (2011), 26302633.
pdf
DM 
7.  On some conjectures concerning Stern's sequence
and its twist, Integers 11 (2011), #A35, 114.
INTEGERS 
6.  (with S. R. Dahmen) On the residue class
distribution of the number of prime divisors of an integer, Nagoya
Mathematical Journal 202 (2011), 1522.
pdf
NMJ 
5.  (Non)Automaticity of number theoretic functions,
Journal de Théorie des Nombres de Bordeaux 22 (2010), no. 2, 339352.
pdf
JTNB 
4.  (with P. Borwein and S. K. K. Choi) Completely
multiplicative functions taking values in \(\{1,1\}\), Transactions of the American
Mathematical Society 362 (2010), no. 12, 62796291.
pdf
TAMS 
3.  The transcendence of series related to Stern's
diatomic sequence, International Journal of Number Theory 6 (2010),
no. 1, 211217.
IJNT 
2.  (with P. Borwein) Transcendence of power series for some number theoretic functions,
Proceedings of the American Mathematical Society
137 (2009), no. 4, 13031305. pdf PAMS 
1.  (with K. Kirsten) General Moment Theorems for
NonDistinct Unrestricted Partitions, Journal of Mathematical Physics 50
(2009), no. 1, 19 pages. pdf
JMP 
other written contributions
xiv.  A Problem With A Regular Outlook,
Notes of the Canadian Mathematical Society 49 (2017), no. 1, 1415. 
xiii.  (with J. Borwein and Y. Bugeaud) The Legacy of Kurt Mahler,
Notices of the American Mathematical Society 62 (2015), no. 5, 526531. 
xii.  (with J. Borwein and Y. Bugeaud) The Legacy of Kurt Mahler,
Australian Mathematical Society Gazette 41 (2014), no. 1, 1121. 
xi.  (with J. Borwein and Y. Bugeaud) The Legacy of Kurt Mahler,
Newsletter of the European Mathematical Society (2014), March Issue, 1924. pdf 
x.  (with J. Borwein and Y. Bugeaud) The Kurt Mahler Archive,
a website dedicated to the mathematical life and collected works of Kurt Mahler,
available here. 
ix.  On the multiplicative Erdős discrepancy
problem, (permanent preprint, not intended for publication).
pdf 
viii.  Yet another proof of the infinitude of primes,
I, (permanent preprint, not intended for publication).
pdf 
vii.  Hendrik Lenstra: Distinguished Lecture
Series, Fields Notes, Vol. 10:2 (2010), pages 3 and 1415.
pdf 
vi.  Workshop on Discovery and Experimentation
in Number Theory, Fields Notes, Vol. 10:2 (2010), pages 6 and 17.
pdf 
v.  Some aspects of analytic number theory:
parity, transcendence, and multiplicative functions, Ph.D. Thesis, Simon Fraser University
University, Burnaby, BC, 2009. pdf 
iv.  New proof of the equation
\(\sum\mu(k)/k=0\), Translation of Edmund Landau's Dissertation, preliminary
version, preprint. pdf 
iii.  The Emergence of Modern
Number Theory in Hungary, Fulbright Student Conference Papers, TypoTEX Ltd.
Electronic Publishing Co., Budapest, 2009, 181192. preprint or published version 
ii.  General Moment Theorems
with Applications, Master's Thesis, Baylor University, Waco, TX, 2005.
pdf 
i.  Numerical Methods for
LeftVentricular Contractility, Bachelor's Thesis, The University of Montana,
Missoula, MT, 2003. 
