## Coons, Michael

Compute Distance To:
 Author ID: coons.michael Published as: Coons, Michael External Links: MGP
 Documents Indexed: 50 Publications since 2009 Reviewing Activity: 28 Reviews Co-Authors: 27 Co-Authors with 31 Joint Publications 986 Co-Co-Authors
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### Co-Authors

 18 single-authored 7 Bell, Jason P. 6 Bugeaud, Yann 5 Baake, Michael 4 Borwein, Jonathan Michael 2 Borwein, Peter Benjamin 2 Hare, Kevin G. 2 Mañibo, Neil 2 Spiegelhofer, Lukas 1 Brent, Richard Peirce 1 Bruin, Nils 1 Catt, Elliot 1 Choi, Stephen Kwok-Kwong 1 Chyzak, Frédéric 1 Dahmen, Sander R. 1 Dumas, Philippe 1 Gohlke, Philipp 1 Hussain, Mumtaz 1 Kirsten, Klaus 1 Rowland, Eric S. 1 Shallit, Jeffrey O. 1 Tachiya, Yohei 1 Tyler, Jason 1 Velich, Jordan 1 Vrbik, Paul 1 Wang, Baowei 1 Winning, Heath 1 Zudilin, Wadim
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### Serials

 5 Journal of Integer Sequences 4 Integers 3 Bulletin of the Australian Mathematical Society 3 Transactions of the American Mathematical Society 3 Documenta Mathematica 2 Canadian Mathematical Bulletin 2 Proceedings of the American Mathematical Society 2 New Zealand Journal of Mathematics 2 The Ramanujan Journal 1 Discrete Mathematics 1 Journal of Mathematical Physics 1 Acta Arithmetica 1 The Australian Mathematical Society Gazette 1 Mathematika 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Publicationes Mathematicae 1 Semigroup Forum 1 International Journal of Foundations of Computer Science 1 IMRN. International Mathematics Research Notices 1 Notices of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 The Australasian Journal of Combinatorics 1 Journal de Théorie des Nombres de Bordeaux 1 The Electronic Journal of Combinatorics 1 European Mathematical Society Newsletter 1 Journal of the Australian Mathematical Society 1 International Journal of Number Theory 1 Moscow Journal of Combinatorics and Number Theory
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### Fields

 48 Number theory (11-XX) 7 Functions of a complex variable (30-XX) 5 History and biography (01-XX) 5 Measure and integration (28-XX) 4 Combinatorics (05-XX) 4 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

33 Publications have been cited 162 times in 109 Documents Cited by Year
On the rational approximation of the sum of the reciprocals of the Fermat numbers. Zbl 1271.11075
Coons, Michael
2013
Completely multiplicative functions taking values in $$\{-1,1\}$$. Zbl 1222.11111
Borwein, Peter; Choi, Stephen K. K.; Coons, Michael
2010
The minimal growth of a $$k$$-regular sequence. Zbl 1348.11023
Bell, Jason P.; Coons, Michael; Hare, Kevin G.
2014
Transcendence of power series for some number theoretic functions. Zbl 1236.11063
Borwein, Peter; Coons, Michael
2009
Transcendence tests for Mahler functions. Zbl 1365.11092
Bell, Jason P.; Coons, Michael
2017
The maximal order of Stern’s diatomic sequence. Zbl 1321.05010
Coons, Michael; Tyler, Jason
2014
An irrationality measure for regular paperfolding numbers. Zbl 1286.11110
Coons, Michael; Vrbik, Paul
2012
Transcendence of generating functions whose coefficients are multiplicative. Zbl 1271.11095
Bell, Jason P.; Bruin, Nils; Coons, Michael
2012
Algebraic independence of Mahler functions via radial asymptotics. Zbl 1415.11104
Brent, Richard P.; Coons, Michael; Zudilin, Wadim
2016
The rational-transcendental dichotomy of Mahler functions. Zbl 1291.30158
Bell, Jason; Coons, Michael; Rowland, Eric
2013
The maximal order of hyper-($$b$$-ary)-expansions. Zbl 1355.05035
Coons, Michael; Spiegelhofer, Lukas
2017
Diophantine approximation of Mahler numbers. Zbl 1320.11064
Bell, Jason P.; Bugeaud, Yann; Coons, Michael
2015
(Non)Automaticity of number theoretic functions. Zbl 1223.11115
Coons, Michael
2010
The transcendence of series related to Stern’s diatomic sequence. Zbl 1250.11015
Coons, Michael
2010
A natural probability measure derived from Stern’s diatomic sequence. Zbl 1411.11029
Baake, Michael; Coons, Michael
2018
A dichotomy law for the diophantine properties in $$\beta$$-dynamical systems. Zbl 1396.11101
Coons, Michael; Hussain, Mumtaz; Wang, Bao-Wei
2016
Addendum to: On the rational approximation of the sum of the reciprocals of the Fermat numbers. Zbl 1330.11048
Coons, Michael
2015
Extension of some theorems of W. Schwarz. Zbl 1284.11102
Coons, Michael
2012
An asymptotic approach in Mahler’s method. Zbl 1432.11097
Coons, Michael
2017
On the residue class distribution of the number of prime divisors of an integer. Zbl 1257.11087
Coons, Michael; Dahmen, Sander R.
2011
Zero order estimates for Mahler functions. Zbl 1416.11128
Coons, Michael
2016
Growth degree classification for finitely generated semigroups of integer matrices. Zbl 1356.20034
Bell, Jason P.; Coons, Michael; Hare, Kevin G.
2016
Transcendence over meromorphic functions. Zbl 1430.11100
Coons, Michael; Tachiya, Yohei
2017
A pattern sequence approach to Stern’s sequence. Zbl 1315.11019
Coons, Michael; Shallit, Jeffrey
2011
Proof of Northshield’s conjecture concerning an analogue of Stern’s sequence for $$\mathbb Z[\sqrt 2]$$. Zbl 1407.11023
Coons, Michael
2018
Regular sequences and the joint spectral radius. Zbl 1368.11021
Coons, Michael
2017
Binary constant-length substitutions and Mahler measures of Borwein polynomials. Zbl 1461.11143
Baake, Michael; Coons, Michael; Mañibo, Neil
2020
A sequential view of self-similar measures; or, what the ghosts of Mahler and Cantor can teach us about dimension. Zbl 1460.28007
Coons, Michael; Evans, James
2021
A correlation identity for Stern’s sequence. Zbl 1258.11013
Coons, Michael
2012
On some conjectures concerning Stern’s sequence and its twist. Zbl 1275.11026
Coons, Michael
2011
Transcendental solutions of a class of minimal functional equations. Zbl 1310.11018
Coons, Michael
2013
Number theoretic aspects of regular sequences. Zbl 1423.11063
Coons, Michael; Spiegelhofer, Lukas
2018
General moment theorems for nondistinct unrestricted partitions. Zbl 1200.11079
Coons, Michael; Kirsten, Klaus
2009
A sequential view of self-similar measures; or, what the ghosts of Mahler and Cantor can teach us about dimension. Zbl 1460.28007
Coons, Michael; Evans, James
2021
Binary constant-length substitutions and Mahler measures of Borwein polynomials. Zbl 1461.11143
Baake, Michael; Coons, Michael; Mañibo, Neil
2020
A natural probability measure derived from Stern’s diatomic sequence. Zbl 1411.11029
Baake, Michael; Coons, Michael
2018
Proof of Northshield’s conjecture concerning an analogue of Stern’s sequence for $$\mathbb Z[\sqrt 2]$$. Zbl 1407.11023
Coons, Michael
2018
Number theoretic aspects of regular sequences. Zbl 1423.11063
Coons, Michael; Spiegelhofer, Lukas
2018
Transcendence tests for Mahler functions. Zbl 1365.11092
Bell, Jason P.; Coons, Michael
2017
The maximal order of hyper-($$b$$-ary)-expansions. Zbl 1355.05035
Coons, Michael; Spiegelhofer, Lukas
2017
An asymptotic approach in Mahler’s method. Zbl 1432.11097
Coons, Michael
2017
Transcendence over meromorphic functions. Zbl 1430.11100
Coons, Michael; Tachiya, Yohei
2017
Regular sequences and the joint spectral radius. Zbl 1368.11021
Coons, Michael
2017
Algebraic independence of Mahler functions via radial asymptotics. Zbl 1415.11104
Brent, Richard P.; Coons, Michael; Zudilin, Wadim
2016
A dichotomy law for the diophantine properties in $$\beta$$-dynamical systems. Zbl 1396.11101
Coons, Michael; Hussain, Mumtaz; Wang, Bao-Wei
2016
Zero order estimates for Mahler functions. Zbl 1416.11128
Coons, Michael
2016
Growth degree classification for finitely generated semigroups of integer matrices. Zbl 1356.20034
Bell, Jason P.; Coons, Michael; Hare, Kevin G.
2016
Diophantine approximation of Mahler numbers. Zbl 1320.11064
Bell, Jason P.; Bugeaud, Yann; Coons, Michael
2015
Addendum to: On the rational approximation of the sum of the reciprocals of the Fermat numbers. Zbl 1330.11048
Coons, Michael
2015
The minimal growth of a $$k$$-regular sequence. Zbl 1348.11023
Bell, Jason P.; Coons, Michael; Hare, Kevin G.
2014
The maximal order of Stern’s diatomic sequence. Zbl 1321.05010
Coons, Michael; Tyler, Jason
2014
On the rational approximation of the sum of the reciprocals of the Fermat numbers. Zbl 1271.11075
Coons, Michael
2013
The rational-transcendental dichotomy of Mahler functions. Zbl 1291.30158
Bell, Jason; Coons, Michael; Rowland, Eric
2013
Transcendental solutions of a class of minimal functional equations. Zbl 1310.11018
Coons, Michael
2013
An irrationality measure for regular paperfolding numbers. Zbl 1286.11110
Coons, Michael; Vrbik, Paul
2012
Transcendence of generating functions whose coefficients are multiplicative. Zbl 1271.11095
Bell, Jason P.; Bruin, Nils; Coons, Michael
2012
Extension of some theorems of W. Schwarz. Zbl 1284.11102
Coons, Michael
2012
A correlation identity for Stern’s sequence. Zbl 1258.11013
Coons, Michael
2012
On the residue class distribution of the number of prime divisors of an integer. Zbl 1257.11087
Coons, Michael; Dahmen, Sander R.
2011
A pattern sequence approach to Stern’s sequence. Zbl 1315.11019
Coons, Michael; Shallit, Jeffrey
2011
On some conjectures concerning Stern’s sequence and its twist. Zbl 1275.11026
Coons, Michael
2011
Completely multiplicative functions taking values in $$\{-1,1\}$$. Zbl 1222.11111
Borwein, Peter; Choi, Stephen K. K.; Coons, Michael
2010
(Non)Automaticity of number theoretic functions. Zbl 1223.11115
Coons, Michael
2010
The transcendence of series related to Stern’s diatomic sequence. Zbl 1250.11015
Coons, Michael
2010
Transcendence of power series for some number theoretic functions. Zbl 1236.11063
Borwein, Peter; Coons, Michael
2009
General moment theorems for nondistinct unrestricted partitions. Zbl 1200.11079
Coons, Michael; Kirsten, Klaus
2009
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### Cited by 131 Authors

 21 Coons, Michael 8 Bell, Jason P. 7 Väänänen, Keijo O. 6 Bundschuh, Peter 6 Han, Guo-Niu 5 Guo, Yingjun 5 Wen, Zhixiong 4 Bugeaud, Yann 4 Spiegelhofer, Lukas 4 Wu, Wen 3 Baake, Michael 3 Dilcher, Karl 3 Mañibo, Neil 2 Adamczewski, Boris 2 Allouche, Jean-Paul Simon 2 Badziahin, Dzmitry A. 2 Bettin, Sandro 2 Chen, Jin 2 Chyzak, Frédéric 2 Drappeau, Sary 2 Drensky, Vesselin 2 Duke, William Drexel 2 Dumas, Philippe 2 Ericksen, Larry 2 Hare, Kevin G. 2 Hu, Yining 2 Hussain, Mumtaz 2 Klurman, Oleksiy 2 Konieczny, Jakub 2 Nguyen, Ha-Nam 2 Protasov, Vladimir Yu. 2 Shallit, Jeffrey O. 2 Wang, Weiliang 2 Wei-Han, Guoniu 2 Yassawi, Reem 2 Zhang, Jiemeng 1 Adiceam, Faustin 1 Amou, Masaaki 1 Aragón Artacho, Francisco Javier 1 Aymone, Marco 1 Bailey, David Harold 1 Beal, Timothy Kevin 1 Borwein, Jonathan Michael 1 Borwein, Peter Benjamin 1 Bruin, Nils 1 Byszewski, Jakub 1 Çalişkan, Fatma 1 Calude, Cristian S. 1 Caro, Yair 1 Cassell, Catherine 1 Chen, Yi-Chiuan 1 Chung, Matthew 1 Cornelissen, Gunther 1 De Angelis, Valerio 1 de Luca, Aldo 1 De Luca, Alessandro 1 Debruyne, Gregory 1 Defant, Colin 1 Domokos, Mátyás 1 Dreyfus, Thomas 1 Dubon, Eric 1 Duverney, Daniel 1 Eisner, Tanja 1 Faverjon, Colin 1 Fokkink, Robbert Johan 1 Fu, Hao 1 Gohlke, Philipp 1 Goldmakher, Leo 1 Grimm, Uwe 1 Grytczuk, Jarosław 1 Hansberg, Adriana 1 Hilberdink, Titus W. 1 Houben, Marc 1 Humphries, Peter J. 1 Jungers, Raphaël M. 1 Kendrick, Caleb 1 Konev, Boris 1 Kraaikamp, Cor 1 Kurlberg, Pär 1 Kurşungöz, Kağan 1 Lagarias, Jeffrey C. 1 Lelas, Nikola 1 Lemańczyk, Mariusz 1 Leroy, Julien 1 Li, Bing 1 Li, Lu 1 Lisitsa, Alexei 1 Liu, Weibin 1 Lü, Xiaotao 1 Lunnon, Fred 1 Mangerel, Alexander P. 1 Merta, Łukasz 1 Mezzarobba, Marc 1 Montejano, Amanda 1 Mosley, William Colin 1 Müllner, Clemens 1 Navas, Luis M. 1 Nesharim, Erez 1 Patrick, Matthew 1 Petrushov, Oleg A. ...and 31 more Authors
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### Cited in 56 Serials

 6 Bulletin of the Australian Mathematical Society 6 Theoretical Computer Science 5 Journal of Number Theory 5 Proceedings of the American Mathematical Society 5 Journal de Théorie des Nombres de Bordeaux 4 International Journal of Number Theory 3 Transactions of the American Mathematical Society 3 Indagationes Mathematicae. New Series 3 The Electronic Journal of Combinatorics 3 Documenta Mathematica 3 The Ramanujan Journal 3 Journal of Integer Sequences 3 Integers 2 Journal of Mathematical Analysis and Applications 2 Acta Arithmetica 2 Advances in Mathematics 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Linear Algebra and its Applications 1 American Mathematical Monthly 1 Artificial Intelligence 1 Discrete Mathematics 1 Houston Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 The Mathematical Intelligencer 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Quaestiones Mathematicae 1 Semigroup Forum 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Systems & Control Letters 1 International Journal of Algebra and Computation 1 International Journal of Foundations of Computer Science 1 Glasnik Matematički. Serija III 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 The Australasian Journal of Combinatorics 1 Fractals 1 Discrete and Continuous Dynamical Systems 1 Theory of Computing Systems 1 Annals of Combinatorics 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Nonlinear Analysis. Hybrid Systems
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### Cited in 24 Fields

 92 Number theory (11-XX) 20 Combinatorics (05-XX) 13 Dynamical systems and ergodic theory (37-XX) 11 Functions of a complex variable (30-XX) 10 Measure and integration (28-XX) 9 Computer science (68-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Commutative algebra (13-XX) 3 Ordinary differential equations (34-XX) 3 Convex and discrete geometry (52-XX) 2 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Systems theory; control (93-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX)