Adamczewski, Boris; Bell, Jason; Smertnig, Daniel A height gap theorem for coefficients of Mahler functions. (English) Zbl 07714619 J. Eur. Math. Soc. (JEMS) 25, No. 7, 2525-2571 (2023). Reviewer: Tanguy Rivoal (Grenoble) MSC: 11J81 39A06 11B85 11G50 PDFBibTeX XMLCite \textit{B. Adamczewski} et al., J. Eur. Math. Soc. (JEMS) 25, No. 7, 2525--2571 (2023; Zbl 07714619) Full Text: DOI arXiv
Adamczewski, B.; Bell, J. P.; Delaygue, É.; Jouhet, F. Cyclotomic valuation of \(q\)-Pochhammer symbols and \(q\)-integrality of basic hypergeometric series. arXiv:2209.11075 Preprint, arXiv:2209.11075 [math.NT] (2022). MSC: 33D15 13A18 33C20 05A30 BibTeX Cite \textit{B. Adamczewski} et al., ``Cyclotomic valuation of $q$-Pochhammer symbols and $q$-integrality of basic hypergeometric series'', Preprint, arXiv:2209.11075 [math.NT] (2022) Full Text: arXiv OA License
Adamczewski, Boris; Bell, Jason Automata in number theory. (English) Zbl 1498.11081 Pin, Jean-Éric (ed.), Handbook of automata theory. Volume II. Automata in mathematics and selected applications. Berlin: European Mathematical Society (EMS). 913-945 (2021). Reviewer: Jeffrey Shallit (Waterloo) MSC: 11B85 68Q45 11A63 11J81 PDFBibTeX XMLCite \textit{B. Adamczewski} and \textit{J. Bell}, in: Handbook of automata theory. Volume II. Automata in mathematics and selected applications. Berlin: European Mathematical Society (EMS). 913--945 (2021; Zbl 1498.11081) Full Text: DOI
Adamczewski, Boris; Bell, Jason P.; Delaygue, Éric Algebraic independence of \(G\)-functions and congruences “à la Lucas”. (English. French summary) Zbl 1450.11075 Ann. Sci. Éc. Norm. Supér. (4) 52, No. 3, 515-559 (2019). Reviewer: Mahadi Ddamulira (Saarbrücken) MSC: 11J81 11B85 12H99 PDFBibTeX XMLCite \textit{B. Adamczewski} et al., Ann. Sci. Éc. Norm. Supér. (4) 52, No. 3, 515--559 (2019; Zbl 1450.11075) Full Text: DOI arXiv HAL
Adamczewski, Boris; Bell, Jason P.; Delaygue, Éric; Jouhet, Frédéric Congruences modulo cyclotomic polynomials and algebraic independence for \(q\)-series. (English. French summary) Zbl 1405.11019 Sémin. Lothar. Comb. 78B, Article 54, 12 p. (2017). MSC: 11B65 05A15 05A30 PDFBibTeX XMLCite \textit{B. Adamczewski} et al., Sémin. Lothar. Comb. 78B, Article 54, 12 p. (2017; Zbl 1405.11019) Full Text: arXiv Link
Adamczewski, Boris; Bell, Jason P. A problem about Mahler functions. (English) Zbl 1432.11086 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 17, No. 4, 1301-1355 (2017). MSC: 11J81 11B85 65Q20 PDFBibTeX XMLCite \textit{B. Adamczewski} and \textit{J. P. Bell}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 17, No. 4, 1301--1355 (2017; Zbl 1432.11086) Full Text: DOI arXiv Link
Adamczewski, Boris; Bell, Jason P. Diagonalization and rationalization of algebraic Laurent series. (Diagonalisation et rationalisation des séries algébriques de Laurent.) (English. French summary) Zbl 1318.13033 Ann. Sci. Éc. Norm. Supér. (4) 46, No. 6, 963-1004 (2013). Reviewer: Jean-Paul Allouche (Paris) MSC: 13F25 11J81 11J89 05A15 13J05 PDFBibTeX XMLCite \textit{B. Adamczewski} and \textit{J. P. Bell}, Ann. Sci. Éc. Norm. Supér. (4) 46, No. 6, 963--1004 (2013; Zbl 1318.13033) Full Text: arXiv Numdam
Adamczewski, Boris; Bell, Jason P. On vanishing coefficients of algebraic power series over fields of positive characteristic. (English) Zbl 1257.11027 Invent. Math. 187, No. 2, 343-393 (2012). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11B85 11G99 11D61 14G17 PDFBibTeX XMLCite \textit{B. Adamczewski} and \textit{J. P. Bell}, Invent. Math. 187, No. 2, 343--393 (2012; Zbl 1257.11027) Full Text: DOI arXiv
Adamczewski, Boris; Bell, Jason An analogue of Cobham’s theorem for fractals. (English) Zbl 1229.28007 Trans. Am. Math. Soc. 363, No. 8, 4421-4442 (2011). Reviewer: Stéphane Seuret (Creteil) MSC: 28A80 11B85 PDFBibTeX XMLCite \textit{B. Adamczewski} and \textit{J. Bell}, Trans. Am. Math. Soc. 363, No. 8, 4421--4442 (2011; Zbl 1229.28007) Full Text: DOI
Adamczewski, Boris; Bell, Jason Function fields in positive characteristic: expansions and Cobham’s theorem. (English) Zbl 1151.11060 J. Algebra 319, No. 6, 2337-2350 (2008). Reviewer: Ali Benhissi (Monastir) MSC: 11R58 13F25 PDFBibTeX XMLCite \textit{B. Adamczewski} and \textit{J. Bell}, J. Algebra 319, No. 6, 2337--2350 (2008; Zbl 1151.11060) Full Text: DOI