Edit Profile (opens in new tab) Coons, Michael Co-Author Distance Author ID: coons.michael Published as: Coons, Michael Homepage: https://mcoons-math.github.io/ External Links: MGP Documents Indexed: 60 Publications since 2008, including 9 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 30 Reviews Co-Authors: 30 Co-Authors with 41 Joint Publications 1,138 Co-Co-Authors all top 5 Co-Authors 19 single-authored 8 Bell, Jason P. 7 Baake, Michael 7 Bugeaud, Yann 5 Mañibo, Neil 4 Borwein, Jonathan Michael 3 Borwein, Peter Benjamin 2 Gohlke, Philipp 2 Groth, Zachary 2 Hare, Kevin G. 2 Spiegelhofer, Lukas 2 Tachiya, Yohei 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 Hussain, Mumtaz 1 Kirsten, Klaus 1 Laursen, Mathias Løkkegaard 1 Rowland, Eric S. 1 Shallit, Jeffrey Outlaw 1 Sutherland, Daniel 1 Tyler, Jason 1 Velich, Jordan 1 Vrbik, Paul 1 Wang, Baowei 1 Winning, Heath 1 Zudilin, Wadim all top 5 Serials 5 Journal of Integer Sequences 4 Bulletin of the Australian Mathematical Society 4 Integers 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 Debrecen 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 1 Documenta Mathematica Series all top 5 Fields 58 Number theory (11-XX) 7 Measure and integration (28-XX) 7 Functions of a complex variable (30-XX) 6 History and biography (01-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Combinatorics (05-XX) 4 Approximations and expansions (41-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 203 times in 133 Documents Cited by ▼ Year ▼ On the rational approximation of the sum of the reciprocals of the Fermat numbers. Zbl 1271.11075 Coons, Michael 20 2013 The minimal growth of a \(k\)-regular sequence. Zbl 1348.11023 Bell, Jason P.; Coons, Michael; Hare, Kevin G. 16 2014 Completely multiplicative functions taking values in \(\{-1,1\}\). Zbl 1222.11111 Borwein, Peter; Choi, Stephen K. K.; Coons, Michael 16 2010 Transcendence of power series for some number theoretic functions. Zbl 1236.11063 Borwein, Peter; Coons, Michael 10 2009 Transcendence tests for Mahler functions. Zbl 1365.11092 Bell, Jason P.; Coons, Michael 10 2017 The maximal order of Stern’s diatomic sequence. Zbl 1321.05010 Coons, Michael; Tyler, Jason 10 2014 (Non)Automaticity of number theoretic functions. Zbl 1223.11115 Coons, Michael 9 2010 Transcendence of generating functions whose coefficients are multiplicative. Zbl 1271.11095 Bell, Jason P.; Bruin, Nils; Coons, Michael 9 2012 Diophantine approximation of Mahler numbers. Zbl 1320.11064 Bell, Jason P.; Bugeaud, Yann; Coons, Michael 9 2015 Algebraic independence of Mahler functions via radial asymptotics. Zbl 1415.11104 Brent, Richard P.; Coons, Michael; Zudilin, Wadim 8 2016 A natural probability measure derived from Stern’s diatomic sequence. Zbl 1411.11029 Baake, Michael; Coons, Michael 7 2018 A dichotomy law for the diophantine properties in \(\beta\)-dynamical systems. Zbl 1396.11101 Coons, Michael; Hussain, Mumtaz; Wang, Bao-Wei 7 2016 An irrationality measure for regular paperfolding numbers. Zbl 1286.11110 Coons, Michael; Vrbik, Paul 7 2012 The rational-transcendental dichotomy of Mahler functions. Zbl 1291.30158 Bell, Jason; Coons, Michael; Rowland, Eric 7 2013 The maximal order of hyper-(\(b\)-ary)-expansions. Zbl 1355.05035 Coons, Michael; Spiegelhofer, Lukas 6 2017 The transcendence of series related to Stern’s diatomic sequence. Zbl 1250.11015 Coons, Michael 5 2010 Growth degree classification for finitely generated semigroups of integer matrices. Zbl 1356.20034 Bell, Jason P.; Coons, Michael; Hare, Kevin G. 5 2016 An asymptotic approach in Mahler’s method. Zbl 1432.11097 Coons, Michael 4 2017 Addendum to: On the rational approximation of the sum of the reciprocals of the Fermat numbers. Zbl 1330.11048 Coons, Michael 4 2015 Binary constant-length substitutions and Mahler measures of Borwein polynomials. Zbl 1461.11143 Baake, Michael; Coons, Michael; Mañibo, Neil 4 2020 Extension of some theorems of W. Schwarz. Zbl 1284.11102 Coons, Michael 3 2012 A pattern sequence approach to Stern’s sequence. Zbl 1315.11019 Coons, Michael; Shallit, Jeffrey 3 2011 Regular sequences and the joint spectral radius. Zbl 1368.11021 Coons, Michael 3 2017 Number theoretic aspects of regular sequences. Zbl 1423.11063 Coons, Michael; Spiegelhofer, Lukas 3 2018 On the residue class distribution of the number of prime divisors of an integer. Zbl 1257.11087 Coons, Michael; Dahmen, Sander R. 2 2011 Zero order estimates for Mahler functions. Zbl 1416.11128 Coons, Michael 2 2016 Transcendence over meromorphic functions. Zbl 1430.11100 Coons, Michael; Tachiya, Yohei 2 2017 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 2 2021 Proof of Northshield’s conjecture concerning an analogue of Stern’s sequence for \(\mathbb Z[\sqrt 2]\). Zbl 1407.11023 Coons, Michael 2 2018 Becker’s conjecture on Mahler functions. Zbl 1475.30006 Bell, Jason P.; Chyzak, Frédéric; Coons, Michael; Dumas, Philippe 2 2019 On some conjectures concerning Stern’s sequence and its twist. Zbl 1275.11026 Coons, Michael 1 2011 General moment theorems for nondistinct unrestricted partitions. Zbl 1200.11079 Coons, Michael; Kirsten, Klaus 1 2009 A correlation identity for Stern’s sequence. Zbl 1258.11013 Coons, Michael 1 2012 Spectral theory of regular sequences. Zbl 1491.11032 Coons, Michael; Evans, James; Mañibo, Neil 1 2022 Transcendental solutions of a class of minimal functional equations. Zbl 1310.11018 Coons, Michael 1 2013 Mahler takes a regular view of Zaremba. Zbl 1416.11013 Coons, Michael 1 2018 Spectral theory of regular sequences. Zbl 1491.11032 Coons, Michael; Evans, James; Mañibo, Neil 1 2022 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 2 2021 Binary constant-length substitutions and Mahler measures of Borwein polynomials. Zbl 1461.11143 Baake, Michael; Coons, Michael; Mañibo, Neil 4 2020 Becker’s conjecture on Mahler functions. Zbl 1475.30006 Bell, Jason P.; Chyzak, Frédéric; Coons, Michael; Dumas, Philippe 2 2019 A natural probability measure derived from Stern’s diatomic sequence. Zbl 1411.11029 Baake, Michael; Coons, Michael 7 2018 Number theoretic aspects of regular sequences. Zbl 1423.11063 Coons, Michael; Spiegelhofer, Lukas 3 2018 Proof of Northshield’s conjecture concerning an analogue of Stern’s sequence for \(\mathbb Z[\sqrt 2]\). Zbl 1407.11023 Coons, Michael 2 2018 Mahler takes a regular view of Zaremba. Zbl 1416.11013 Coons, Michael 1 2018 Transcendence tests for Mahler functions. Zbl 1365.11092 Bell, Jason P.; Coons, Michael 10 2017 The maximal order of hyper-(\(b\)-ary)-expansions. Zbl 1355.05035 Coons, Michael; Spiegelhofer, Lukas 6 2017 An asymptotic approach in Mahler’s method. Zbl 1432.11097 Coons, Michael 4 2017 Regular sequences and the joint spectral radius. Zbl 1368.11021 Coons, Michael 3 2017 Transcendence over meromorphic functions. Zbl 1430.11100 Coons, Michael; Tachiya, Yohei 2 2017 Algebraic independence of Mahler functions via radial asymptotics. Zbl 1415.11104 Brent, Richard P.; Coons, Michael; Zudilin, Wadim 8 2016 A dichotomy law for the diophantine properties in \(\beta\)-dynamical systems. Zbl 1396.11101 Coons, Michael; Hussain, Mumtaz; Wang, Bao-Wei 7 2016 Growth degree classification for finitely generated semigroups of integer matrices. Zbl 1356.20034 Bell, Jason P.; Coons, Michael; Hare, Kevin G. 5 2016 Zero order estimates for Mahler functions. Zbl 1416.11128 Coons, Michael 2 2016 Diophantine approximation of Mahler numbers. Zbl 1320.11064 Bell, Jason P.; Bugeaud, Yann; Coons, Michael 9 2015 Addendum to: On the rational approximation of the sum of the reciprocals of the Fermat numbers. Zbl 1330.11048 Coons, Michael 4 2015 The minimal growth of a \(k\)-regular sequence. Zbl 1348.11023 Bell, Jason P.; Coons, Michael; Hare, Kevin G. 16 2014 The maximal order of Stern’s diatomic sequence. Zbl 1321.05010 Coons, Michael; Tyler, Jason 10 2014 On the rational approximation of the sum of the reciprocals of the Fermat numbers. Zbl 1271.11075 Coons, Michael 20 2013 The rational-transcendental dichotomy of Mahler functions. Zbl 1291.30158 Bell, Jason; Coons, Michael; Rowland, Eric 7 2013 Transcendental solutions of a class of minimal functional equations. Zbl 1310.11018 Coons, Michael 1 2013 Transcendence of generating functions whose coefficients are multiplicative. Zbl 1271.11095 Bell, Jason P.; Bruin, Nils; Coons, Michael 9 2012 An irrationality measure for regular paperfolding numbers. Zbl 1286.11110 Coons, Michael; Vrbik, Paul 7 2012 Extension of some theorems of W. Schwarz. Zbl 1284.11102 Coons, Michael 3 2012 A correlation identity for Stern’s sequence. Zbl 1258.11013 Coons, Michael 1 2012 A pattern sequence approach to Stern’s sequence. Zbl 1315.11019 Coons, Michael; Shallit, Jeffrey 3 2011 On the residue class distribution of the number of prime divisors of an integer. Zbl 1257.11087 Coons, Michael; Dahmen, Sander R. 2 2011 On some conjectures concerning Stern’s sequence and its twist. Zbl 1275.11026 Coons, Michael 1 2011 Completely multiplicative functions taking values in \(\{-1,1\}\). Zbl 1222.11111 Borwein, Peter; Choi, Stephen K. K.; Coons, Michael 16 2010 (Non)Automaticity of number theoretic functions. Zbl 1223.11115 Coons, Michael 9 2010 The transcendence of series related to Stern’s diatomic sequence. Zbl 1250.11015 Coons, Michael 5 2010 Transcendence of power series for some number theoretic functions. Zbl 1236.11063 Borwein, Peter; Coons, Michael 10 2009 General moment theorems for nondistinct unrestricted partitions. Zbl 1200.11079 Coons, Michael; Kirsten, Klaus 1 2009 all cited Publications top 5 cited Publications all top 5 Cited by 163 Authors 23 Coons, Michael 9 Bell, Jason P. 8 Han, Guo-Niu 7 Väänänen, Keijo O. 6 Bundschuh, Peter 5 Baake, Michael 5 Bugeaud, Yann 5 Guo, Yingjun 5 Wen, Zhixiong 4 Mañibo, Neil 4 Spiegelhofer, Lukas 4 Wu, Wen 3 Adamczewski, Boris 3 Dilcher, Karl 3 Hussain, Mumtaz 3 Klurman, Oleksiy 3 Konieczny, Jakub 3 Shallit, Jeffrey Outlaw 3 Wang, Weiliang 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 Faverjon, Colin 2 Hare, Kevin G. 2 Hu, Yining 2 Kurlberg, Pär 2 Liu, Weibin 2 Morris, Ian D. 2 Nguyen, Ha-Nam 2 Protasov, Vladimir Yu. 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 Corvaja, Pietro 1 Damanik, David 1 De Angelis, Valerio 1 de Luca, Aldo 1 De Luca, Alessandro 1 Debruyne, Gregory 1 Defant, Colin 1 DeMarco, Laura Grace 1 Domokos, Mátyás 1 Dreyfus, Thomas 1 Dubon, Eric 1 Duverney, Daniel 1 Eisner, Tanja 1 Etingof, Pavel Il’ich 1 Fischler, Stéphane 1 Fokkink, Robbert Johan 1 Fu, Hao 1 Gohlke, Philipp 1 Goldmakher, Leo 1 Grimm, Uwe 1 Groth, Zachary 1 Grytczuk, Jarosław 1 Habegger, Philipp 1 Hansberg, Adriana 1 Heuberger, Clemens 1 Hilberdink, Titus W. 1 Houben, Marc 1 Humphries, Peter J. 1 Jungers, Raphaël M. 1 Kalmynin, A. B. 1 Kazhdan, David 1 Kellendonk, Johannes 1 Kendrick, Caleb 1 Keramatipour, Ali 1 Konev, Boris 1 Kraaikamp, Cor 1 Krenn, Daniel 1 Kurşungöz, Kağan 1 Lagarias, Jeffrey C. 1 Lelas, Nikola 1 Lemańczyk, Mariusz 1 Lenz, Daniel H. 1 Leroy, Julien 1 Li, Bing ...and 63 more Authors all top 5 Cited in 67 Serials 7 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 Journal of Mathematical Analysis and Applications 3 Acta Arithmetica 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 Discrete Mathematics 2 Mathematics of Computation 2 Advances in Mathematics 2 Bulletin of the London Mathematical Society 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Linear Algebra and its Applications 2 Fractals 2 Journal of the European Mathematical Society (JEMS) 2 Journal of the Australian Mathematical Society 2 Oberwolfach Reports 1 American Mathematical Monthly 1 Artificial Intelligence 1 Houston Journal of Mathematics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 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 Journal of the Mathematical Society of Japan 1 Mathematika 1 Proceedings of the London Mathematical Society. Third Series 1 Quaestiones Mathematicae 1 Semigroup Forum 1 SIAM Journal on Control and Optimization 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Systems & Control Letters 1 Algorithmica 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 Discrete and Continuous Dynamical Systems 1 Theory of Computing Systems 1 Annals of Combinatorics 1 Dynamical Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Nonlinear Analysis. Hybrid Systems 1 Journal de l’École Polytechnique – Mathématiques 1 Discrete Analysis all top 5 Cited in 30 Fields 110 Number theory (11-XX) 22 Combinatorics (05-XX) 20 Dynamical systems and ergodic theory (37-XX) 17 Measure and integration (28-XX) 14 Computer science (68-XX) 12 Functions of a complex variable (30-XX) 9 Difference and functional equations (39-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Approximations and expansions (41-XX) 4 Convex and discrete geometry (52-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Ordinary differential equations (34-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Sequences, series, summability (40-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) Citations by Year