Edit Profile (opens in new tab) Bell, Jason P. Co-Author Distance Author ID: bell.jason-p Published as: Bell, Jason P.; Bell, Jason; Bell, J.; Bell, J. P.; Bell, Jason Pierre more...less Homepage: http://www.math.uwaterloo.ca/~jpbell/ External Links: MGP Documents Indexed: 187 Publications since 1996, including 1 Book and 19 Additional arXiv Preprints Co-Authors: 121 Co-Authors with 150 Joint Publications 3,524 Co-Co-Authors all top 5 Co-Authors 31 single-authored 15 Ghioca, Dragos 10 Adamczewski, Boris 9 Burris, Stanley N. 9 Launois, Stéphane 8 Coons, Michael 7 Moosa, Rahim N. 7 Satriano, Matthew 7 Shallit, Jeffrey Outlaw 7 Tucker, Thomas John 6 Nguyen, Khoa Dang 5 Hare, Kevin G. 5 Smertnig, Daniel 5 Yeats, Karen A. 4 Rangaswamy, Kulumani M. 4 Rogalski, Daniel 4 Smoktunowicz, Agata 3 Abrams, Gene D. 3 Casteels, Karel 3 Chen, Shaoshi 3 Delaygue, Éric 3 Greenfeld, Be’eri 3 Reichstein, Zinovy B. 3 Small, Lance W. 3 Zannier, Umberto M. 2 Albayrak, Seda 2 Bugeaud, Yann 2 Colak, Pinar 2 Diller, Jeffrey 2 Gerhold, Stefan 2 Gonçalves, Jairo Zacarias 2 Huber, Joel 2 Ingalls, Colin 2 Jonsson, Mattias 2 Jouhet, Frédéric 2 Lagarias, Jeffrey C. 2 León Sánchez, Omar 2 Lidbetter, Thomas F. 2 Madill, Blake W. 2 Mishna, Marni 2 Richmond, L. Bruce 2 Sierra, Susan J. 2 Viscusi, W. Kip 2 Young, Alexander A. 1 Ahmady, Azhvan Sheikh 1 Ara, Pere 1 Bender, Edward Anton 1 Bober, Jonathan W. 1 Borwein, Peter Benjamin 1 Bruin, Nils 1 Brzozowski, Janusz Antoni 1 Burkhardt, Léon 1 Buzaglo, Lucas 1 Cameron, Peter Jephson 1 Charlier, Emilie 1 Christmas, Jacqueline 1 Chyzak, Frédéric 1 Clark, Daniel E. 1 Clay, Adam 1 Danchev, Peter Vassilev 1 Đoković, Dragomir Ž. 1 Drensky, Vesselin 1 Dumas, Philippe 1 Everson, Richard M. 1 Farina, John 1 Fraenkel, Aviezri Siegmund 1 Funk, Daryl 1 Garsia, Adriano M. 1 Ghaswala, Tyrone 1 Goh, Teow Lim 1 Gorman, Alexi Block 1 Gunn, Keira 1 Hamidizadeh, Maryam 1 Hare, Kathryn E. 1 Heinle, Albert 1 Hindes, Wade 1 Hossain, Ehsaan 1 Hu, Fei 1 Huang, Hongdi 1 Huang, Keping 1 Jedwab, Jonathan 1 Khatirinejad, Mahdad 1 Kim, Byoung Du 1 Klazar, Martin 1 Krieger, Holly 1 Lenagan, Thomas H. 1 Leung, Wing Hong 1 Levandovskyy, Viktor 1 Liu, Haggai 1 Luca, Florian 1 Lutley, James 1 Magat, Wesley A. 1 Matsuzawa, Yohsuke 1 Mayhew, Dillon 1 Miles, Richard B. 1 Mohar, Bojan 1 Moreira, Nelma 1 Nazemian, Zahra 1 Nolan, Brendan 1 Pendergrass-Rice, Cayley 1 Peng, Wayne ...and 25 more Co-Authors all top 5 Serials 14 Journal of Algebra 10 Transactions of the American Mathematical Society 9 Israel Journal of Mathematics 6 Proceedings of the American Mathematical Society 6 The Electronic Journal of Combinatorics 5 Canadian Journal of Mathematics 5 IMRN. International Mathematics Research Notices 4 Algebra & Number Theory 3 Advances in Mathematics 3 Bulletin of the London Mathematical Society 3 Journal of Combinatorial Theory. Series A 3 Journal of the London Mathematical Society. Second Series 3 Journal of Number Theory 3 Mathematische Zeitschrift 3 International Journal of Algebra and Computation 3 Journal de Théorie des Nombres de Bordeaux 3 Algebras and Representation Theory 2 Communications in Algebra 2 Discrete Mathematics 2 Acta Arithmetica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Inventiones Mathematicae 2 Journal of Pure and Applied Algebra 2 Proceedings of the London Mathematical Society. Third Series 2 Theoretical Computer Science 2 Advances in Applied Mathematics 2 Journal of Risk and Uncertainty 2 Linear Algebra and its Applications 2 The New York Journal of Mathematics 2 Selecta Mathematica. New Series 2 Séminaire Lotharingien de Combinatoire 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Algebra and its Applications 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Bulletin of the Australian Mathematical Society 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Canadian Mathematical Bulletin 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Approximation Theory 1 Mathematische Annalen 1 Nagoya Mathematical Journal 1 Revista Colombiana de Matemáticas 1 Semigroup Forum 1 Acta Mathematica Hungarica 1 Information and Computation 1 SIAM Journal on Discrete Mathematics 1 Forum Mathematicum 1 IEEE Transactions on Signal Processing 1 International Journal of Foundations of Computer Science 1 Pattern Recognition 1 Indagationes Mathematicae. New Series 1 The Australasian Journal of Combinatorics 1 Journal of Algebraic Combinatorics 1 Journal of Combinatorial Designs 1 Mathematical Research Letters 1 Documenta Mathematica 1 Annals of Combinatorics 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Journal of Integer Sequences 1 The Quarterly Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 International Journal of Number Theory 1 Mathematical Surveys and Monographs 1 RAIRO. Theoretical Informatics and Applications 1 Proceedings of the American Mathematical Society. Series B 1 Journal of Combinatorial Algebra 1 Actes des Rencontres du C.I.R.M. all top 5 Fields 71 Number theory (11-XX) 64 Associative rings and algebras (16-XX) 36 Combinatorics (05-XX) 31 Algebraic geometry (14-XX) 28 Dynamical systems and ergodic theory (37-XX) 22 Computer science (68-XX) 14 Commutative algebra (13-XX) 14 Group theory and generalizations (20-XX) 12 Field theory and polynomials (12-XX) 11 Mathematical logic and foundations (03-XX) 7 Nonassociative rings and algebras (17-XX) 6 Functions of a complex variable (30-XX) 5 Several complex variables and analytic spaces (32-XX) 3 Measure and integration (28-XX) 3 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 139 Publications have been cited 897 times in 598 Documents Cited by ▼ Year ▼ The dynamical Mordell-Lang conjecture. Zbl 1362.11001 Bell, Jason P.; Ghioca, Dragos; Tucker, Thomas J. 42 2016 The dynamical Mordell-Lang problem for étale maps. Zbl 1230.37112 Bell, J. P.; Ghioca, D.; Tucker, T. J. 32 2010 A generalised Skolem-Mahler-Lech theorem for affine varieties. Zbl 1147.11020 Bell, Jason P. 25 2006 Zariski cancellation problem for noncommutative algebras. Zbl 1380.16024 Bell, Jason; Zhang, James J. 25 2017 Poisson algebras via model theory and differential-algebraic geometry. Zbl 1416.17010 Bell, Jason; Launois, Stéphane; Sánchez, Omar León; Moosa, Rahim 22 2017 On prime nonprimitive von Neumann regular algebras. Zbl 1336.16002 Abrams, Gene; Bell, Jason P.; Rangaswamy, Kulumani M. 20 2014 On a dynamical version of a theorem of Rosenlicht. Zbl 1401.14071 Bell, Jason; Ghioca, Dragos; Reichstein, Zinovy 16 2017 Integral Cayley graphs and groups. Zbl 1298.05155 Ahmady, Azhvan; Bell, Jason P.; Mohar, Bojan 16 2014 The minimal growth of a \(k\)-regular sequence. Zbl 1348.11023 Bell, Jason P.; Coons, Michael; Hare, Kevin G. 16 2014 The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings. Zbl 1219.16030 Bell, J.; Rogalski, D.; Sierra, S. J. 16 2010 An isomorphism lemma for graded rings. Zbl 1400.16037 Bell, Jason; Zhang, James J. 15 2017 A problem about Mahler functions. Zbl 1432.11086 Adamczewski, Boris; Bell, Jason P. 15 2017 Exponential lower bounds for the number of words of uniform length avoiding a pattern. Zbl 1127.68073 Bell, Jason P.; Goh, Teow Lim 14 2007 On vanishing coefficients of algebraic power series over fields of positive characteristic. Zbl 1257.11027 Adamczewski, Boris; Bell, Jason P. 14 2012 On noncommutative finite factorization domains. Zbl 1392.16033 Bell, Jason P.; Heinle, Albert; Levandovskyy, Viktor 14 2017 An analogue of Cobham’s theorem for fractals. Zbl 1229.28007 Adamczewski, Boris; Bell, Jason 13 2011 The dynamical Mordell-Lang problem for Noetherian spaces. Zbl 1388.37086 Bell, Jason P.; Ghioca, Dragos; Tucker, Thomas J. 13 2015 Counting rooted trees: the universal law \(t(n)\sim C\rho^{-n} n^{-3/2}\). Zbl 1099.05023 Bell, Jason P.; Burris, Stanley N.; Yeats, Karen A. 13 2006 Towards a Pólya-Carlson dichotomy for algebraic dynamics. Zbl 1319.37012 Bell, Jason; Miles, Richard; Ward, Thomas 13 2014 Examples in finite Gel’fand-Kirillov dimension. Zbl 1028.16012 Bell, Jason P. 13 2003 Diagonalization and rationalization of algebraic Laurent series. (Diagonalisation et rationalisation des séries algébriques de Laurent.) Zbl 1318.13033 Adamczewski, Boris; Bell, Jason P. 12 2013 The prime spectrum of algebras of quadratic growth. Zbl 1136.16019 Bell, Jason P.; Smoktunowicz, Agata 11 2008 Primitivity of finitely presented monomial algebras. Zbl 1182.16017 Bell, Jason P.; Colak, Pinar 11 2009 A gap result for the norms of semigroups of matrices. Zbl 1074.15033 Bell, Jason P. 11 2005 Noetherian algebras over algebraically closed fields. Zbl 1117.16010 Bell, Jason P. 10 2007 On the positivity set of a linear recurrence sequence. Zbl 1139.11010 Bell, Jason P.; Gerhold, Stefan 10 2007 On the dimension of \(H\)-strata in quantum algebras. Zbl 1226.16024 Bell, Jason P.; Launois, Stéphane 10 2010 \(p\)-adic valuations and \(k\)-regular sequences. Zbl 1131.11017 Bell, Jason P. 10 2007 Transcendence tests for Mahler functions. Zbl 1365.11092 Bell, Jason P.; Coons, Michael 10 2017 Differential polynomial rings over rings satisfying a polynomial identity. Zbl 1308.16019 Bell, Jason P.; Madill, Blake W.; Shinko, Forte 10 2015 Transcendence of generating functions whose coefficients are multiplicative. Zbl 1271.11095 Bell, Jason P.; Bruin, Nils; Coons, Michael 9 2012 \(D\)-groups and the Dixmier-Moeglin equivalence. Zbl 1505.03082 Bell, Jason; León Sánchez, Omar; Moosa, Rahim 9 2018 Free subalgebras of division algebras over uncountable fields. Zbl 1311.16013 Bell, Jason P.; Rogalski, D. 9 2014 On the Medvedev-Scanlon conjecture for minimal threefolds of nonnegative Kodaira dimension. Zbl 1455.14027 Bell, Jason P.; Ghioca, Dragos; Reichstein, Zinovy; Satriano, Matthew 9 2017 Diophantine approximation of Mahler numbers. Zbl 1320.11064 Bell, Jason P.; Bugeaud, Yann; Coons, Michael 9 2015 Applications of \(p\)-adic analysis for bounding periods of subvarieties under étale maps. Zbl 1349.14002 Bell, Jason Pierre; Ghioca, Dragos; Tucker, Thomas John 9 2015 Algebraic independence of \(G\)-functions and congruences “à la Lucas”. Zbl 1450.11075 Adamczewski, Boris; Bell, Jason P.; Delaygue, Éric 9 2019 Shirshov’s theorem and division rings that are left algebraic over a subfield. Zbl 1293.16016 Bell, Jason P.; Drensky, Vesselin; Sharifi, Yaghoub 9 2013 Function fields in positive characteristic: expansions and Cobham’s theorem. Zbl 1151.11060 Adamczewski, Boris; Bell, Jason 8 2008 A generalization of Cobham’s theorem for regular sequences. Zbl 1194.11032 Bell, Jason P. 8 2005 Growth of the product \(\prod_{j=1}^n (1-x^{a_j})\). Zbl 0918.11054 Bell, J. P.; Borwein, P. B.; Richmond, L. B. 8 1998 Primitive ideals in quantum Schubert cells: dimension of the strata. Zbl 1312.17008 Bell, Jason; Casteels, Karel; Launois, Stéphane 8 2014 Asymptotics for logical limit laws: When the growth of the components is in an RT class. Zbl 1021.03022 Bell, Jason P.; Burris, Stanley N. 8 2003 When is an automatic set an additive basis? Zbl 1437.11017 Bell, Jason; Hare, Kathryn; Shallit, Jeffrey 8 2018 Free subalgebras of quotient rings of Ore extensions. Zbl 1267.16017 Bell, Jason P.; Rogalski, Daniel 8 2012 Sufficient conditions for zero-one laws. Zbl 0981.60030 Bell, Jason P. 7 2002 Examples in finite Gel’fand-Kirillov dimension. II. Zbl 1114.16021 Bell, Jason P. 7 2005 Characteristic points of recursive systems. Zbl 1221.05019 Bell, Jason P.; Burris, Stanley N.; Yeats, Karen A. 7 2010 The rational-transcendental dichotomy of Mahler functions. Zbl 1291.30158 Bell, Jason; Coons, Michael; Rowland, Eric 7 2013 D-finiteness, rationality, and height. Zbl 1479.11055 Bell, Jason P.; Nguyen, Khoa D.; Zannier, Umberto 7 2020 The Dixmier-Moeglin equivalence for Leavitt path algebras. Zbl 1250.16012 Abrams, Gene; Bell, Jason P.; Rangaswamy, Kulumani M. 6 2012 Division algebras of Gelfand-Kirillov transcendence degree 2. Zbl 1182.16016 Bell, Jason P. 6 2009 Centralizers in domains of Gelfand-Kirillov dimension 2. Zbl 1080.16015 Bell, Jason P.; Small, Lance W. 6 2004 The Dixmier-Moeglin equivalence for cocommutative Hopf algebras of finite Gelfand-Kirillov dimension. Zbl 1312.16029 Bell, Jason P.; Leung, Wing Hong 6 2014 Non-holonomicity of sequences defined via elementary functions. Zbl 1189.11007 Bell, Jason P.; Gerhold, Stefan; Klazar, Martin; Luca, Florian 6 2008 A transcendental dynamical degree. Zbl 1477.32030 Bell, Jason P.; Diller, Jeffrey; Jonsson, Mattias 6 2020 On the growth of algebras, semigroups, and hereditary languages. Zbl 1487.16029 Bell, Jason; Zelmanov, Efim 6 2021 Asymptotics for the probability of connectedness and the distribution of number of components. Zbl 0948.05009 Bell, Jason P.; Bender, Edward A.; Cameron, Peter J.; Richmond, L. Bruce 5 2000 On the Kurosh problem for algebras of polynomial growth over a general field. Zbl 1244.16013 Bell, Jason P.; Young, Alexander A. 5 2011 Congruences modulo cyclotomic polynomials and algebraic independence for \(q\)-series. Zbl 1405.11019 Adamczewski, Boris; Bell, Jason P.; Delaygue, Éric; Jouhet, Frédéric 5 2017 A question of Kaplansky. Zbl 1020.16014 Bell, Jason P.; Small, Lance W. 5 2002 Dimension and enumeration of primitive ideals in quantum algebras. Zbl 1263.16038 Bell, J.; Launois, S.; Nguyen, N. 5 2009 Two-sided chain conditions in Leavitt path algebras over arbitrary graphs. Zbl 1257.16011 Abrams, Gene; Bell, Jason P.; Colak, Pinar; Rangaswamy, Kulumani M. 5 2012 Primitive algebraic algebras of polynomially bounded growth. Zbl 1267.16022 Bell, Jason P.; Small, Lance W.; Smoktunowicz, Agata 5 2012 Iterative algebras. Zbl 1348.16019 Bell, Jason P.; Madill, Blake W. 5 2015 Growth degree classification for finitely generated semigroups of integer matrices. Zbl 1356.20034 Bell, Jason P.; Coons, Michael; Hare, Kevin G. 5 2016 \(F\)-sets and finite automata. Zbl 1475.11038 Bell, Jason; Moosa, Rahim 5 2019 On the set of zero coefficients of a function satisfying a linear differential equation. Zbl 1264.11005 Bell, Jason P.; Burris, Stanley N.; Yeats, Karen 5 2012 Noncommutative rational Pólya series. Zbl 1515.68188 Bell, Jason; Smertnig, Daniel 5 2021 Rings of differential operators on curves. Zbl 1271.16024 Bell, Jason P.; Smoktunowicz, Agata 5 2012 Additive number theory via approximation by regular languages. Zbl 1462.11014 Bell, Jason P.; Lidbetter, Thomas F.; Shallit, Jeffrey 5 2018 Extended centres of finitely generated prime algebras. Zbl 1196.16020 Bell, Jason P.; Smoktunowicz, Agata 4 2010 Estimating discount rates for environmental quality from utility-based choice experiments. Zbl 1165.91450 Viscusi, W. Kip; Huber, Joel; Bell, Jason 4 2008 A decision problem for ultimately periodic sets in nonstandard numeration systems. Zbl 1194.68131 Bell, Jason; Charlier, Emilie; Fraenkel, Aviezri S.; Rigo, Michel 4 2009 Symmetric groups and quotient complexity of Boolean operations. Zbl 1409.68151 Bell, Jason; Brzozowski, Janusz; Moreira, Nelma; Reis, Rogério 4 2014 Convergence results for the particle PHD filter. Zbl 1373.94559 Clark, D. E.; Bell, J. 4 2006 Power series with coefficients from a finite set. Zbl 1431.11088 Bell, Jason P.; Chen, Shaoshi 4 2017 Corrigendum: A generalised Skolem-Mahler-Lech theorem for affine varieties. Zbl 1184.11009 Bell, Jason P. 4 2008 Height gap conjectures, \(D\)-finiteness, and a weak dynamical Mordell-Lang conjecture. Zbl 1460.11096 Bell, Jason P.; Hu, Fei; Satriano, Matthew 4 2020 The upper density of an automatic set is rational. Zbl 1465.11079 Bell, Jason P. 4 2020 Noncommutative analogues of a cancellation theorem of Abhyankar, Eakin, and Heinzer. Zbl 1484.16024 Bell, Jason; Hamidizadeh, Maryam; Huang, Hongdi; Venegas, Helbert 4 2021 Multicomplexes and polynomials with real zeros. Zbl 1112.05103 Bell, Jason; Skandera, Mark 3 2007 Stably just infinite rings. Zbl 1141.16018 Bell, Jason; Farina, John; Pendergrass-Rice, Cayley 3 2008 Compton’s method for proving logical limit laws. Zbl 1252.03082 Bell, Jason P.; Burris, Stanley N. 3 2011 Bounded step functions and factorial ratio sequences. Zbl 1225.11107 Bell, Jason P.; Bober, Jonathan W. 3 2009 An iterative choice approach to valuing clean lakes, rivers, and streams. Zbl 0973.91547 Magat, Wesley A.; Huber, Joel; Viscusi, W. Kip; Bell, Jason 3 2000 A proof of a partition conjecture of Bateman and Erdős. Zbl 1034.11058 Bell, Jason P. 3 2001 A classification of (some) Pisot-cyclotomic numbers. Zbl 1084.11058 Bell, J. P.; Hare, K. G. 3 2005 Logarithmic frequency in morphic sequences. Zbl 1163.11020 Bell, Jason P. 3 2008 \(\mathbb Z\)-graded simple rings. Zbl 1348.16001 Bell, J.; Rogalski, D. 3 2016 Free algebras and free groups in Ore extensions and free group algebras in division rings. Zbl 1348.16014 Bell, Jason P.; Gonçalves, Jairo Z. 3 2016 Transcendence degree of division algebras. Zbl 1272.16023 Bell, Jason P. 3 2012 An analogue of Ruzsa’s conjecture for polynomials over finite fields. Zbl 1479.11211 Bell, Jason P.; Nguyen, Khoa D. 3 2021 Periodic subvarieties of semiabelian varieties and annihilators of irreducible representations. Zbl 1472.37094 Bell, Jason P.; Ghioca, Dragos 3 2019 On the importance of being primitive. Zbl 1443.16024 Bell, Jason 3 2019 A dichotomy result for prime algebras of Gelfand-Kirillov dimension two. Zbl 1216.16010 Bell, Jason P. 3 2010 Lie complexity of words. Zbl 07570316 Bell, Jason P.; Shallit, Jeffrey 3 2022 A refinement of Christol’s theorem for algebraic power series. Zbl 1494.13030 Albayrak, Seda; Bell, Jason P. 3 2022 Dynamical uniform bounds for fibers and a gap conjecture. Zbl 1479.37102 Bell, Jason; Ghioca, Dragos; Satriano, Matthew 3 2021 Some finiteness results on monogenic orders in positive characteristic. Zbl 1468.11092 Bell, Jason P.; Nguyen, Khoa D. 3 2018 On noncommutative bounded factorization domains and prime rings. Zbl 1525.16017 Bell, Jason P.; Brown, Ken; Nazemian, Zahra; Smertnig, Daniel 2 2023 A height gap theorem for coefficients of Mahler functions. Zbl 07714619 Adamczewski, Boris; Bell, Jason; Smertnig, Daniel 1 2023 D-finiteness, rationality, and height. II: Lower bounds over a set of positive density. Zbl 1519.13011 Bell, Jason P.; Nguyen, Khoa D.; Zannier, Umberto 1 2023 On dynamical cancellation. Zbl 1516.37147 Bell, Jason P.; Matsuzawa, Yohsuke; Satriano, Matthew 1 2023 A general criterion for the Pólya-Carlson dichotomy and application. Zbl 07686404 Bell, Jason P.; Gunn, Keira; Nguyen, Khoa D.; Saunders, J. C. 1 2023 Counterexamples to a conjecture of Dombi in additive number theory. Zbl 07692654 Bell, J. P.; Shallit, J. 1 2023 Lie complexity of words. Zbl 07570316 Bell, Jason P.; Shallit, Jeffrey 3 2022 A refinement of Christol’s theorem for algebraic power series. Zbl 1494.13030 Albayrak, Seda; Bell, Jason P. 3 2022 Mahler’s and Koksma’s classifications in fields of power series. Zbl 1492.11114 Bell, Jason; Bugeaud, Yann 1 2022 A fusion variant of the classical and dynamical Mordell-Lang conjectures in positive characteristic. Zbl 1511.37118 Bell, Jason; Ghioca, Dragos 1 2022 On the growth of algebras, semigroups, and hereditary languages. Zbl 1487.16029 Bell, Jason; Zelmanov, Efim 6 2021 Noncommutative rational Pólya series. Zbl 1515.68188 Bell, Jason; Smertnig, Daniel 5 2021 Noncommutative analogues of a cancellation theorem of Abhyankar, Eakin, and Heinzer. Zbl 1484.16024 Bell, Jason; Hamidizadeh, Maryam; Huang, Hongdi; Venegas, Helbert 4 2021 An analogue of Ruzsa’s conjecture for polynomials over finite fields. Zbl 1479.11211 Bell, Jason P.; Nguyen, Khoa D. 3 2021 Dynamical uniform bounds for fibers and a gap conjecture. Zbl 1479.37102 Bell, Jason; Ghioca, Dragos; Satriano, Matthew 3 2021 Rational dynamical systems, \(S\)-units, and \(D\)-finite power series. Zbl 1482.37107 Bell, Jason P.; Chen, Shaoshi; Hossain, Ehsaan 2 2021 Promoting circular-orderability to left-orderability. (Obtention d’un ordre à gauche sur un groupe à partir d’un ordre circulaire.) Zbl 07362101 Bell, Jason; Clay, Adam; Ghaswala, Tyrone 2 2021 D-finiteness, rationality, and height. Zbl 1479.11055 Bell, Jason P.; Nguyen, Khoa D.; Zannier, Umberto 7 2020 A transcendental dynamical degree. Zbl 1477.32030 Bell, Jason P.; Diller, Jeffrey; Jonsson, Mattias 6 2020 Height gap conjectures, \(D\)-finiteness, and a weak dynamical Mordell-Lang conjecture. Zbl 1460.11096 Bell, Jason P.; Hu, Fei; Satriano, Matthew 4 2020 The upper density of an automatic set is rational. Zbl 1465.11079 Bell, Jason P. 4 2020 On free subgroups in division rings. Zbl 1480.12003 Bell, Jason P.; Gonçalves, Jairo 1 2020 On the complexity of the cogrowth sequence. Zbl 1481.20110 Bell, Jason; Mishna, Marni 1 2020 Algebraic independence of \(G\)-functions and congruences “à la Lucas”. Zbl 1450.11075 Adamczewski, Boris; Bell, Jason P.; Delaygue, Éric 9 2019 \(F\)-sets and finite automata. Zbl 1475.11038 Bell, Jason; Moosa, Rahim 5 2019 Periodic subvarieties of semiabelian varieties and annihilators of irreducible representations. Zbl 1472.37094 Bell, Jason P.; Ghioca, Dragos 3 2019 On the importance of being primitive. Zbl 1443.16024 Bell, Jason 3 2019 The Dixmier-Moeglin equivalence, Morita equivalence, and homeomorphism of spectra. Zbl 1470.16011 Bell, Jason P.; Wang, Xingting; Yee, Daniel 3 2019 Becker’s conjecture on Mahler functions. Zbl 1475.30006 Bell, Jason P.; Chyzak, Frédéric; Coons, Michael; Dumas, Philippe 2 2019 \(D\)-groups and the Dixmier-Moeglin equivalence. Zbl 1505.03082 Bell, Jason; León Sánchez, Omar; Moosa, Rahim 9 2018 When is an automatic set an additive basis? Zbl 1437.11017 Bell, Jason; Hare, Kathryn; Shallit, Jeffrey 8 2018 Additive number theory via approximation by regular languages. Zbl 1462.11014 Bell, Jason P.; Lidbetter, Thomas F.; Shallit, Jeffrey 5 2018 Some finiteness results on monogenic orders in positive characteristic. Zbl 1468.11092 Bell, Jason P.; Nguyen, Khoa D. 3 2018 Some applications of algebra to automatic sequences. Zbl 1425.68179 Bell, Jason 1 2018 Zariski cancellation problem for noncommutative algebras. Zbl 1380.16024 Bell, Jason; Zhang, James J. 25 2017 Poisson algebras via model theory and differential-algebraic geometry. Zbl 1416.17010 Bell, Jason; Launois, Stéphane; Sánchez, Omar León; Moosa, Rahim 22 2017 On a dynamical version of a theorem of Rosenlicht. Zbl 1401.14071 Bell, Jason; Ghioca, Dragos; Reichstein, Zinovy 16 2017 An isomorphism lemma for graded rings. Zbl 1400.16037 Bell, Jason; Zhang, James J. 15 2017 A problem about Mahler functions. Zbl 1432.11086 Adamczewski, Boris; Bell, Jason P. 15 2017 On noncommutative finite factorization domains. Zbl 1392.16033 Bell, Jason P.; Heinle, Albert; Levandovskyy, Viktor 14 2017 Transcendence tests for Mahler functions. Zbl 1365.11092 Bell, Jason P.; Coons, Michael 10 2017 On the Medvedev-Scanlon conjecture for minimal threefolds of nonnegative Kodaira dimension. Zbl 1455.14027 Bell, Jason P.; Ghioca, Dragos; Reichstein, Zinovy; Satriano, Matthew 9 2017 Congruences modulo cyclotomic polynomials and algebraic independence for \(q\)-series. Zbl 1405.11019 Adamczewski, Boris; Bell, Jason P.; Delaygue, Éric; Jouhet, Frédéric 5 2017 Power series with coefficients from a finite set. Zbl 1431.11088 Bell, Jason P.; Chen, Shaoshi 4 2017 On a dynamical Mordell-Lang conjecture for coherent sheaves. Zbl 1404.37125 Bell, Jason P.; Satriano, Matthew; Sierra, Susan J. 2 2017 A strong Dixmier-Moeglin equivalence for quantum Schubert cells. Zbl 1427.17022 Bell, Jason; Launois, Stéphane; Nolan, Brendan 2 2017 Power series approximations to Fekete polynomials. Zbl 1427.11030 Bell, Jason; Shparlinski, Igor E. 2 2017 The Dixmier-Moeglin equivalence for extensions of scalars and ore extensions. Zbl 1370.16018 Bell, Jason P.; Wu, Kaiyu; Wu, Shelley 1 2017 Free subalgebras of graded algebras. Zbl 1405.16052 Bell, Jason P.; Greenfeld, Be’eri 1 2017 Embeddings of quotient division algebras of rings of differential operators. Zbl 1373.14004 Bell, Jason P.; Ingalls, Colin; Ramkumar, Ritvik 1 2017 The dynamical Mordell-Lang conjecture. Zbl 1362.11001 Bell, Jason P.; Ghioca, Dragos; Tucker, Thomas J. 42 2016 Growth degree classification for finitely generated semigroups of integer matrices. Zbl 1356.20034 Bell, Jason P.; Coons, Michael; Hare, Kevin G. 5 2016 \(\mathbb Z\)-graded simple rings. Zbl 1348.16001 Bell, J.; Rogalski, D. 3 2016 Free algebras and free groups in Ore extensions and free group algebras in division rings. Zbl 1348.16014 Bell, Jason P.; Gonçalves, Jairo Z. 3 2016 Leavitt path algebras satisfying a polynomial identity. Zbl 1344.16005 Bell, Jason P.; Lenagan, T. H.; Rangaswamy, Kulumani M. 2 2016 The dynamical Mordell-Lang problem for Noetherian spaces. Zbl 1388.37086 Bell, Jason P.; Ghioca, Dragos; Tucker, Thomas J. 13 2015 Differential polynomial rings over rings satisfying a polynomial identity. Zbl 1308.16019 Bell, Jason P.; Madill, Blake W.; Shinko, Forte 10 2015 Diophantine approximation of Mahler numbers. Zbl 1320.11064 Bell, Jason P.; Bugeaud, Yann; Coons, Michael 9 2015 Applications of \(p\)-adic analysis for bounding periods of subvarieties under étale maps. Zbl 1349.14002 Bell, Jason Pierre; Ghioca, Dragos; Tucker, Thomas John 9 2015 Iterative algebras. Zbl 1348.16019 Bell, Jason P.; Madill, Blake W. 5 2015 A Skolem-Mahler-Lech theorem for iterated automorphisms of \(K\)-algebras. Zbl 1370.11048 Bell, Jason P.; Lagarias, Jeffrey C. 2 2015 Primitivity of prime countable-dimensional regular algebras. Zbl 1373.16028 Ara, Pere; Bell, Jason P. 2 2015 Growth functions. Zbl 1359.16019 Bell, Jason P. 2 2015 Three-phase Barker arrays. Zbl 1310.05036 Bell, Jason P.; Jedwab, Jonathan; Khatirinejad, Mahdad; Schmidt, Kai-Uwe 1 2015 On prime nonprimitive von Neumann regular algebras. Zbl 1336.16002 Abrams, Gene; Bell, Jason P.; Rangaswamy, Kulumani M. 20 2014 Integral Cayley graphs and groups. Zbl 1298.05155 Ahmady, Azhvan; Bell, Jason P.; Mohar, Bojan 16 2014 The minimal growth of a \(k\)-regular sequence. Zbl 1348.11023 Bell, Jason P.; Coons, Michael; Hare, Kevin G. 16 2014 Towards a Pólya-Carlson dichotomy for algebraic dynamics. Zbl 1319.37012 Bell, Jason; Miles, Richard; Ward, Thomas 13 2014 Free subalgebras of division algebras over uncountable fields. Zbl 1311.16013 Bell, Jason P.; Rogalski, D. 9 2014 Primitive ideals in quantum Schubert cells: dimension of the strata. Zbl 1312.17008 Bell, Jason; Casteels, Karel; Launois, Stéphane 8 2014 The Dixmier-Moeglin equivalence for cocommutative Hopf algebras of finite Gelfand-Kirillov dimension. Zbl 1312.16029 Bell, Jason P.; Leung, Wing Hong 6 2014 Symmetric groups and quotient complexity of Boolean operations. Zbl 1409.68151 Bell, Jason; Brzozowski, Janusz; Moreira, Nelma; Reis, Rogério 4 2014 Inexact Bayesian point pattern matching for linear transformations. Zbl 1373.68347 Christmas, J.; Everson, R. M.; Bell, J.; Winlove, C. P. 1 2014 Diagonalization and rationalization of algebraic Laurent series. (Diagonalisation et rationalisation des séries algébriques de Laurent.) Zbl 1318.13033 Adamczewski, Boris; Bell, Jason P. 12 2013 Shirshov’s theorem and division rings that are left algebraic over a subfield. Zbl 1293.16016 Bell, Jason P.; Drensky, Vesselin; Sharifi, Yaghoub 9 2013 The rational-transcendental dichotomy of Mahler functions. Zbl 1291.30158 Bell, Jason; Coons, Michael; Rowland, Eric 7 2013 On vanishing coefficients of algebraic power series over fields of positive characteristic. Zbl 1257.11027 Adamczewski, Boris; Bell, Jason P. 14 2012 Transcendence of generating functions whose coefficients are multiplicative. Zbl 1271.11095 Bell, Jason P.; Bruin, Nils; Coons, Michael 9 2012 Free subalgebras of quotient rings of Ore extensions. Zbl 1267.16017 Bell, Jason P.; Rogalski, Daniel 8 2012 The Dixmier-Moeglin equivalence for Leavitt path algebras. Zbl 1250.16012 Abrams, Gene; Bell, Jason P.; Rangaswamy, Kulumani M. 6 2012 Two-sided chain conditions in Leavitt path algebras over arbitrary graphs. Zbl 1257.16011 Abrams, Gene; Bell, Jason P.; Colak, Pinar; Rangaswamy, Kulumani M. 5 2012 Primitive algebraic algebras of polynomially bounded growth. Zbl 1267.16022 Bell, Jason P.; Small, Lance W.; Smoktunowicz, Agata 5 2012 On the set of zero coefficients of a function satisfying a linear differential equation. Zbl 1264.11005 Bell, Jason P.; Burris, Stanley N.; Yeats, Karen 5 2012 Rings of differential operators on curves. Zbl 1271.16024 Bell, Jason P.; Smoktunowicz, Agata 5 2012 Transcendence degree of division algebras. Zbl 1272.16023 Bell, Jason P. 3 2012 Enumeration of \(\mathcal H\)-strata in quantum matrices with respect to dimension. Zbl 1232.05238 Bell, J.; Casteels, K.; Launois, S. 1 2012 Corrigendum to “On \(\mathbb {Z}\)-modules of algebraic integers”. Zbl 1329.11112 Bell, Jason P.; Hare, Kevin G. 1 2012 An analogue of Cobham’s theorem for fractals. Zbl 1229.28007 Adamczewski, Boris; Bell, Jason 13 2011 On the Kurosh problem for algebras of polynomial growth over a general field. Zbl 1244.16013 Bell, Jason P.; Young, Alexander A. 5 2011 Compton’s method for proving logical limit laws. Zbl 1252.03082 Bell, Jason P.; Burris, Stanley N. 3 2011 The dynamical Mordell-Lang problem for étale maps. Zbl 1230.37112 Bell, J. P.; Ghioca, D.; Tucker, T. J. 32 2010 The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings. Zbl 1219.16030 Bell, J.; Rogalski, D.; Sierra, S. J. 16 2010 On the dimension of \(H\)-strata in quantum algebras. Zbl 1226.16024 Bell, Jason P.; Launois, Stéphane 10 2010 Characteristic points of recursive systems. Zbl 1221.05019 Bell, Jason P.; Burris, Stanley N.; Yeats, Karen A. 7 2010 Extended centres of finitely generated prime algebras. Zbl 1196.16020 Bell, Jason P.; Smoktunowicz, Agata 4 2010 A dichotomy result for prime algebras of Gelfand-Kirillov dimension two. Zbl 1216.16010 Bell, Jason P. 3 2010 An automaton-theoretic approach to the representation theory of quantum algebras. Zbl 1228.05298 Bell, J.; Launois, S.; Lutley, J. 2 2010 Primitivity of finitely presented monomial algebras. Zbl 1182.16017 Bell, Jason P.; Colak, Pinar 11 2009 Division algebras of Gelfand-Kirillov transcendence degree 2. Zbl 1182.16016 Bell, Jason P. 6 2009 Dimension and enumeration of primitive ideals in quantum algebras. Zbl 1263.16038 Bell, J.; Launois, S.; Nguyen, N. 5 2009 ...and 39 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 670 Authors 76 Bell, Jason P. 26 Ghioca, Dragos 13 Shallit, Jeffrey Outlaw 13 Smoktunowicz, Agata 12 Coons, Michael 12 Rangaswamy, Kulumani M. 10 Greenfeld, Be’eri 9 Launois, Stéphane 9 Mai Hoang Bien 9 Yakimov, Milen T. 8 Moosa, Rahim N. 8 Stufler, Benedikt 8 Tucker, Thomas John 7 Gaddis, Jason 7 Okniński, Jan 7 Rowland, Eric S. 6 Bui Xuan Hai 6 Byszewski, Jakub 6 Konieczny, Jakub 6 Nguyen, Khoa Dang 6 Ochem, Pascal 6 Ostafe, Alina 6 Saleh, Sina 6 Shparlinski, Igor E. 6 Sierra, Susan J. 6 Wang, Xingting 6 Zhang, James J. 5 Adamczewski, Boris 5 Cedó, Ferran 5 Grzeszczuk, Piotr 5 León Sánchez, Omar 5 Rogalski, Daniel 5 Smertnig, Daniel 5 Xie, Junyi 4 Alahmadi, Adel N. 4 Alsulami, Hamed Hamdan 4 Bergen, Jeffrey 4 Cheng, Tao 4 Fel’shtyn, Alexander 4 Feng, Lihua 4 Gonçalves, Jairo Zacarias 4 Hazrat, Roozbeh 4 Kostolányi, Peter 4 Kurlberg, Pär 4 Levandovskyy, Viktor 4 Lezama, Oswaldo 4 Silverman, Joseph Hillel 4 Srivastava, Ashish Kumar 4 Yassawi, Reem 4 Zannier, Umberto M. 4 Zel’manov, Efim Isaakovich 4 Ziembowski, Michał 3 Abrams, Gene D. 3 Allouche, Jean-Paul Simon 3 Ara, Pere 3 Benedetto, Robert L. 3 Brion, Michel 3 Brzozowski, Janusz Antoni 3 Bugeaud, Yann 3 Burris, Stanley N. 3 Casteels, Karel 3 Charlier, Emilie 3 Chen, Shaoshi 3 Cornelissen, Gunther 3 Corvaja, Pietro 3 Dang, Nguyen-Bac 3 de Shalit, Ehud 3 Drmota, Michael 3 Goodearl, Kenneth R. 3 Granovsky, Boris L. 3 Hare, Kevin G. 3 Huang, Keping 3 Jain, Surender Kumar 3 Jespers, Eric 3 Koechlin, Florent 3 Lenagan, Thomas H. 3 Lu, Lu 3 Lubinsky, Doron S. 3 Morris, Ian D. 3 Nicaud, Cyril 3 Petukhov, Alexey V. 3 Protasov, Vladimir Yu. 3 Rampersad, Narad 3 Rigo, Michel 3 Rivoal, Tanguy 3 Rond, Guillaume 3 Roques, Julien 3 Rosenfeld, Matthieu 3 Rotondo, Pablo 3 Sánchez, Javier 3 Satriano, Matthew 3 Scanlon, Thomas J. 3 Straub, Armin 3 Tang, Xin 3 Trang, Vu Mai 3 Vargas-Montoya, Daniel 3 Venegas, Helbert 3 Ward, Thomas B. 3 Welker, Volkmar 3 Won, Robert ...and 570 more Authors all top 5 Cited in 161 Serials 47 Journal of Algebra 20 Journal of Number Theory 20 Transactions of the American Mathematical Society 18 Israel Journal of Mathematics 18 Advances in Mathematics 16 Journal of Pure and Applied Algebra 14 Communications in Algebra 13 The Electronic Journal of Combinatorics 13 Algebras and Representation Theory 12 Proceedings of the American Mathematical Society 12 Theoretical Computer Science 11 Journal of Algebra and its Applications 8 Bulletin of the London Mathematical Society 8 Canadian Journal of Mathematics 8 Journal of Combinatorial Theory. Series A 8 Mathematische Annalen 8 Advances in Applied Mathematics 8 International Journal of Algebra and Computation 8 Algebra & Number Theory 7 Bulletin of the Australian Mathematical Society 7 Mathematische Zeitschrift 7 Journal of Symbolic Computation 7 Selecta Mathematica. 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Second Series 3 Journal für die Reine und Angewandte Mathematik 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Proceedings of the London Mathematical Society. Third Series 3 Acta Mathematica Hungarica 3 Indagationes Mathematicae. New Series 3 Combinatorics, Probability and Computing 3 Journal of Integer Sequences 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 RAIRO. Theoretical Informatics and Applications 2 Discrete Mathematics 2 Journal of Mathematical Analysis and Applications 2 Beiträge zur Algebra und Geometrie 2 Archiv der Mathematik 2 Indiana University Mathematics Journal 2 Journal of the Mathematical Society of Japan 2 Michigan Mathematical Journal 2 Nagoya Mathematical Journal 2 Pacific Journal of Mathematics 2 Semigroup Forum 2 Systems & Control Letters 2 Revista Matemática Iberoamericana 2 Random Structures & Algorithms 2 Bulletin of the American Mathematical Society. New Series 2 Topological Methods in Nonlinear Analysis 2 The New York Journal of Mathematics 2 Annals of Combinatorics 2 Journal of the Institute of Mathematics of Jussieu 2 Oberwolfach Reports 2 Research in Number Theory 2 Enumerative Combinatorics and Applications 1 Communications in Mathematical Physics 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Letters in Mathematical Physics 1 Lithuanian Mathematical Journal 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 Chaos, Solitons and Fractals 1 Acta Mathematica Vietnamica 1 Algebra and Logic 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Bulletin de la Société Mathématique de France 1 Colloquium Mathematicum 1 Functiones et Approximatio. Commentarii Mathematici 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of Computer and System Sciences 1 Kybernetika 1 Mathematica Slovaca 1 Mathematika ...and 61 more Serials all top 5 Cited in 50 Fields 212 Associative rings and algebras (16-XX) 184 Number theory (11-XX) 94 Dynamical systems and ergodic theory (37-XX) 86 Computer science (68-XX) 84 Algebraic geometry (14-XX) 80 Combinatorics (05-XX) 57 Group theory and generalizations (20-XX) 46 Commutative algebra (13-XX) 43 Nonassociative rings and algebras (17-XX) 30 Field theory and polynomials (12-XX) 29 Mathematical logic and foundations (03-XX) 15 Probability theory and stochastic processes (60-XX) 14 Functions of a complex variable (30-XX) 12 Several complex variables and analytic spaces (32-XX) 11 Difference and functional equations (39-XX) 10 Special functions (33-XX) 9 Category theory; homological algebra (18-XX) 9 Measure and integration (28-XX) 7 Functional analysis (46-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Topological groups, Lie groups (22-XX) 6 Approximations and expansions (41-XX) 6 Convex and discrete geometry (52-XX) 6 Algebraic topology (55-XX) 5 Ordinary differential equations (34-XX) 5 Quantum theory (81-XX) 5 Systems theory; control (93-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Sequences, series, summability (40-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Differential geometry (53-XX) 3 General and overarching topics; collections (00-XX) 3 \(K\)-theory (19-XX) 3 General topology (54-XX) 3 Numerical analysis (65-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General algebraic systems (08-XX) 2 Real functions (26-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year