Edit Profile (opens in new tab) Coons, Michael Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1271.11075Coons, Michael 18 2013 Completely multiplicative functions taking values in \(\{-1,1\}\). Zbl 1222.11111Borwein, Peter; Choi, Stephen K. K.; Coons, Michael 14 2010 The minimal growth of a \(k\)-regular sequence. Zbl 1348.11023Bell, Jason P.; Coons, Michael; Hare, Kevin G. 11 2014 Transcendence of power series for some number theoretic functions. Zbl 1236.11063Borwein, Peter; Coons, Michael 10 2009 Transcendence tests for Mahler functions. Zbl 1365.11092Bell, Jason P.; Coons, Michael 10 2017 The maximal order of Stern’s diatomic sequence. Zbl 1321.05010Coons, Michael; Tyler, Jason 8 2014 An irrationality measure for regular paperfolding numbers. Zbl 1286.11110Coons, Michael; Vrbik, Paul 7 2012 Transcendence of generating functions whose coefficients are multiplicative. Zbl 1271.11095Bell, Jason P.; Bruin, Nils; Coons, Michael 7 2012 Algebraic independence of Mahler functions via radial asymptotics. Zbl 1415.11104Brent, Richard P.; Coons, Michael; Zudilin, Wadim 7 2016 The rational-transcendental dichotomy of Mahler functions. Zbl 1291.30158Bell, Jason; Coons, Michael; Rowland, Eric 6 2013 The maximal order of hyper-(\(b\)-ary)-expansions. Zbl 1355.05035Coons, Michael; Spiegelhofer, Lukas 6 2017 Diophantine approximation of Mahler numbers. Zbl 1320.11064Bell, Jason P.; Bugeaud, Yann; Coons, Michael 6 2015 (Non)Automaticity of number theoretic functions. Zbl 1223.11115Coons, Michael 6 2010 The transcendence of series related to Stern’s diatomic sequence. Zbl 1250.11015Coons, Michael 5 2010 A natural probability measure derived from Stern’s diatomic sequence. Zbl 1411.11029Baake, Michael; Coons, Michael 5 2018 A dichotomy law for the diophantine properties in \(\beta\)-dynamical systems. Zbl 1396.11101Coons, Michael; Hussain, Mumtaz; Wang, Bao-Wei 4 2016 Addendum to: On the rational approximation of the sum of the reciprocals of the Fermat numbers. Zbl 1330.11048Coons, Michael 3 2015 Extension of some theorems of W. Schwarz. Zbl 1284.11102Coons, Michael 3 2012 An asymptotic approach in Mahler’s method. Zbl 1432.11097Coons, Michael 3 2017 On the residue class distribution of the number of prime divisors of an integer. Zbl 1257.11087Coons, Michael; Dahmen, Sander R. 2 2011 Zero order estimates for Mahler functions. Zbl 1416.11128Coons, Michael 2 2016 Growth degree classification for finitely generated semigroups of integer matrices. Zbl 1356.20034Bell, Jason P.; Coons, Michael; Hare, Kevin G. 2 2016 Transcendence over meromorphic functions. Zbl 1430.11100Coons, Michael; Tachiya, Yohei 2 2017 A pattern sequence approach to Stern’s sequence. Zbl 1315.11019Coons, Michael; Shallit, Jeffrey 2 2011 Proof of Northshield’s conjecture concerning an analogue of Stern’s sequence for \(\mathbb Z[\sqrt 2]\). Zbl 1407.11023Coons, Michael 2 2018 Regular sequences and the joint spectral radius. Zbl 1368.11021Coons, Michael 2 2017 Binary constant-length substitutions and Mahler measures of Borwein polynomials. Zbl 1461.11143Baake, Michael; Coons, Michael; Mañibo, Neil 2 2020 A sequential view of self-similar measures; or, what the ghosts of Mahler and Cantor can teach us about dimension. Zbl 1460.28007Coons, Michael; Evans, James 2 2021 A correlation identity for Stern’s sequence. Zbl 1258.11013Coons, Michael 1 2012 On some conjectures concerning Stern’s sequence and its twist. Zbl 1275.11026Coons, Michael 1 2011 Transcendental solutions of a class of minimal functional equations. Zbl 1310.11018Coons, Michael 1 2013 Number theoretic aspects of regular sequences. Zbl 1423.11063Coons, Michael; Spiegelhofer, Lukas 1 2018 General moment theorems for nondistinct unrestricted partitions. Zbl 1200.11079Coons, Michael; Kirsten, Klaus 1 2009 A sequential view of self-similar measures; or, what the ghosts of Mahler and Cantor can teach us about dimension. Zbl 1460.28007Coons, Michael; Evans, James 2 2021 Binary constant-length substitutions and Mahler measures of Borwein polynomials. Zbl 1461.11143Baake, Michael; Coons, Michael; Mañibo, Neil 2 2020 A natural probability measure derived from Stern’s diatomic sequence. Zbl 1411.11029Baake, Michael; Coons, Michael 5 2018 Proof of Northshield’s conjecture concerning an analogue of Stern’s sequence for \(\mathbb Z[\sqrt 2]\). Zbl 1407.11023Coons, Michael 2 2018 Number theoretic aspects of regular sequences. Zbl 1423.11063Coons, Michael; Spiegelhofer, Lukas 1 2018 Transcendence tests for Mahler functions. Zbl 1365.11092Bell, Jason P.; Coons, Michael 10 2017 The maximal order of hyper-(\(b\)-ary)-expansions. Zbl 1355.05035Coons, Michael; Spiegelhofer, Lukas 6 2017 An asymptotic approach in Mahler’s method. Zbl 1432.11097Coons, Michael 3 2017 Transcendence over meromorphic functions. Zbl 1430.11100Coons, Michael; Tachiya, Yohei 2 2017 Regular sequences and the joint spectral radius. Zbl 1368.11021Coons, Michael 2 2017 Algebraic independence of Mahler functions via radial asymptotics. Zbl 1415.11104Brent, Richard P.; Coons, Michael; Zudilin, Wadim 7 2016 A dichotomy law for the diophantine properties in \(\beta\)-dynamical systems. Zbl 1396.11101Coons, Michael; Hussain, Mumtaz; Wang, Bao-Wei 4 2016 Zero order estimates for Mahler functions. Zbl 1416.11128Coons, Michael 2 2016 Growth degree classification for finitely generated semigroups of integer matrices. Zbl 1356.20034Bell, Jason P.; Coons, Michael; Hare, Kevin G. 2 2016 Diophantine approximation of Mahler numbers. Zbl 1320.11064Bell, Jason P.; Bugeaud, Yann; Coons, Michael 6 2015 Addendum to: On the rational approximation of the sum of the reciprocals of the Fermat numbers. Zbl 1330.11048Coons, Michael 3 2015 The minimal growth of a \(k\)-regular sequence. Zbl 1348.11023Bell, Jason P.; Coons, Michael; Hare, Kevin G. 11 2014 The maximal order of Stern’s diatomic sequence. Zbl 1321.05010Coons, Michael; Tyler, Jason 8 2014 On the rational approximation of the sum of the reciprocals of the Fermat numbers. Zbl 1271.11075Coons, Michael 18 2013 The rational-transcendental dichotomy of Mahler functions. Zbl 1291.30158Bell, Jason; Coons, Michael; Rowland, Eric 6 2013 Transcendental solutions of a class of minimal functional equations. Zbl 1310.11018Coons, Michael 1 2013 An irrationality measure for regular paperfolding numbers. Zbl 1286.11110Coons, Michael; Vrbik, Paul 7 2012 Transcendence of generating functions whose coefficients are multiplicative. Zbl 1271.11095Bell, Jason P.; Bruin, Nils; Coons, Michael 7 2012 Extension of some theorems of W. Schwarz. Zbl 1284.11102Coons, Michael 3 2012 A correlation identity for Stern’s sequence. Zbl 1258.11013Coons, Michael 1 2012 On the residue class distribution of the number of prime divisors of an integer. Zbl 1257.11087Coons, Michael; Dahmen, Sander R. 2 2011 A pattern sequence approach to Stern’s sequence. Zbl 1315.11019Coons, Michael; Shallit, Jeffrey 2 2011 On some conjectures concerning Stern’s sequence and its twist. Zbl 1275.11026Coons, Michael 1 2011 Completely multiplicative functions taking values in \(\{-1,1\}\). Zbl 1222.11111Borwein, Peter; Choi, Stephen K. K.; Coons, Michael 14 2010 (Non)Automaticity of number theoretic functions. Zbl 1223.11115Coons, Michael 6 2010 The transcendence of series related to Stern’s diatomic sequence. Zbl 1250.11015Coons, Michael 5 2010 Transcendence of power series for some number theoretic functions. Zbl 1236.11063Borwein, Peter; Coons, Michael 10 2009 General moment theorems for nondistinct unrestricted partitions. Zbl 1200.11079Coons, Michael; Kirsten, Klaus 1 2009 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year