Publications (33)
On the multiplicative ErdÅs discrepancy problem
Michael Coons
Completely multiplicative functions taking values in $\{-1,1\}$
Peter Borwein, Stephen K. K. Choi, Michael Coons
Transcendence of Power Series for Some Number Theoretic Functions
Michael Coons, Peter Borwein
A dichotomy law for the Diophantine properties in $β$-dynamical systems
Michael Coons, Mumtaz Hussain, Bao-Wei Wang
Regular sequences and the joint spectral radius
Michael Coons
On some conjectures concerning Stern's sequence and its twist
Michael Coons
A natural probability measure derived from Stern's diatomic sequence
Michael Baake, Michael Coons
Transcendence of generating functions whose coefficients are multiplicative
Jason P. Bell, Nils Bruin, Michael Coons
(Non)Automaticity of number theoretic functions
Michael Coons
General moment theorems for non-distinct unrestricted partitions
Michael Coons, Klaus Kirsten
Proof of Northshield's conjecture concerning an analogue of Stern's sequence for $\mathbb{Z}[\sqrt{2}]$
Michael Coons
The maximal order of hyper-($b$-ary)-expansions
Michael Coons, Lukas Spiegelhofer
Mahler takes a regular view of Zaremba
Michael Coons
A Pattern Sequence Approach to Stern's Sequence
Michael Coons, Jeffrey Shallit
On the residue class distribution of the number of prime divisors of an integer
Michael Coons, Sander R. Dahmen
On the rational approximation of the sum of the reciprocals of the Fermat numbers
Michael Coons
Becker's conjecture on Mahler functions
Jason Bell, Frederic Chyzak, Michael Coons +1
An arithmetical excursion via Stoneham numbers
Michael Coons
Algebraic independence of Mahler functions via radial asymptotics
Richard P. Brent, Michael Coons, Wadim Zudilin
An asymptotic approach in Mahler's method
Michael Coons
Zero order estimates for Mahler functions
Michael Coons
Transcendence of generating functions whose coefficients are multiplicative
Jason P. Bell, Michael Coons
Growth degree classification for finitely generated semigroups of integer matrices
Jason P. Bell, Michael Coons, Kevin G. Hare
The minimal growth of a $k$-regular sequence
Jason P. Bell, Michael Coons, Kevin G. Hare
The maximal order of Stern's diatomic sequence
Michael Coons, Jason Tyler
Diophantine approximation of Mahler numbers
Jason Bell, Yann Bugeaud, Michael Coons
Towards the (ir)rationality of values of Dirichlet series
Michael Coons, Daniel Sutherland
Extension of a theorem of Duffin and Schaeffer
Michael Coons
Transcendence tests for Mahler functions
Jason P. Bell, Michael Coons
Addendum to: On the rational approximation of the sum of the reciprocals of the Fermat numbers
Michael Coons
Transcendence of the Gaussian Liouville number and relatives
Peter Borwein, Michael Coons
Strong normality and generalised Copeland--ErdÅs numbers
Elliot Catt, Michael Coons, Jordan Velich
The rational-transcendental dichotomy of Mahler functions
Jason P. Bell, Michael Coons, Eric Rowland