Zobrazeno 1 - 10 of 124 pro vyhledávání: '"Boris Adamczewski"'
1
(Logarithmic) densities for automatic sequences along primes and squares
Autor: Boris Adamczewski, Clemens Müllner, Michael Drmota
Publikováno v: Transactions of the American Mathematical Society
Transactions of the American Mathematical Society, 2021, pp.1. ⟨10.1090/tran/8476⟩
In this paper we develop a method to transfer density results for primitive automatic sequences to logarithmic-density results for general automatic sequences. As an application we show that the logarithmic densities of any automatic sequence along s
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd80f7cb56bc552d9933171ccc464be8
https://doi.org/10.1090/tran/8476
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2
A height gap theorem for coefficients of Mahler functions
Autor: Boris Adamczewski, Jason Bell, Daniel Smertnig
Publikováno v: Journal of the European Mathematical Society.
We study the asymptotic growth of coefficients of Mahler power series with algebraic coefficients, as measured by their logarithmic Weil height. We show that there are five different growth behaviors, all of which being reached. Thus, there are \emph
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04dd2f0b7053ac090affcb7def0d2154
https://doi.org/10.4171/jems/1244
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3
On the computational complexity of algebraic numbers: the Hartmanis–Stearns problem revisited
Autor: Boris Adamczewski, Marion Le Gonidec, Julien Cassaigne
Publikováno v: Transactions of the American Mathematical Society
Transactions of the American Mathematical Society, American Mathematical Society, 2020, pp.3085-3115. ⟨10.1090/tran/7915⟩
Transactions of the American Mathematical Society, 2020, 373, pp.3085-3115. ⟨10.1090/tran/7915⟩
International audience; — We consider the complexity of integer base expansions of algebraic irrational numbers from a computational point of view. We show that the Hartmanis–Stearns problem can be solved in a satisfactory way for the class of mu
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb40ed2368b806aef22ec715999539ea
https://doi.org/10.1090/tran/7915
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4
Bracket words: a generalisation of Sturmian words arising from generalised polynomials
Autor: Boris Adamczewski, Jakub Konieczny
Generalised polynomials are maps constructed by applying the floor function, addition, and multiplication to polynomials. Despite superficial similarity, generalised polynomials exhibit many phenomena which are impossible for polynomials. In particul
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5
Hypertranscendence and linear difference equations
Autor: Charlotte Hardouin, Boris Adamczewski, Thomas Dreyfus
Publikováno v: Journal of the American Mathematical Society
Journal of the American Mathematical Society, 2021, 34, pp.475-503. ⟨10.1090/jams/960⟩
Journal of the American Mathematical Society, American Mathematical Society, 2021, 34, pp.475-503. ⟨10.1090/jams/960⟩
After Hölder proved his classical theorem about the Gamma function, there has been a whole bunch of results showing that solutions to linear difference equations tend to be hypertranscendental (i.e., they cannot be solution to an algebraic different
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af45bf0c453cf75ae03cd72bd9f31312
https://hal.science/hal-02991494
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6
Algebraic independence of G-functions and congruences 'à la Lucas'
Autor: Boris Adamczewski, Jason P. Bell, Eric Delaygue
Publikováno v: Annales Scientifiques de l'École Normale Supérieure
Annales Scientifiques de l'École Normale Supérieure, 2019, 52 (3), pp.515-559. ⟨10.24033/asens.2392⟩
Annales Scientifiques de l'École Normale Supérieure, Société mathématique de France, In press
Annales Scientifiques de l'École Normale Supérieure, Société mathématique de France, 2019, 52 (3), pp.515-559. ⟨10.24033/asens.2392⟩
International audience; We develop a new method for proving algebraic independence of $G$-functions. Our approach rests on the following observation: $G$-functions do not always come with a single linear differential equation, but also sometimes with
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a42ff145aa51901ec5b4d4368e8042c0
https://hal.science/hal-02091793
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7
Méthode de Mahler, transcendance et relations linéaires : aspects effectifs
Autor: Boris Adamczewski, Colin Faverjon
Publikováno v: Journal de Théorie des Nombres de Bordeaux
Journal de Théorie des Nombres de Bordeaux, Société Arithmétique de Bordeaux, 2018, 30 (2), pp.557-573. ⟨10.5802/jtnb.1039⟩
International audience
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60266d667c0e99380c060bbd96ca8dbc
https://hal.archives-ouvertes.fr/hal-02091783
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8
A problem about Mahler functions
Autor: Boris Adamczewski, Jason P. Bell
Publikováno v: Ann. Sc. Norm. Super. Pisa
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2017, 17, pp.1301-1355
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Scuola Normale Superiore 2017, 17, pp.1301-1355
International audience
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c6b83260375c9588cf8e661a5dea2fa2
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9
Chiffres non nuls dans le développement en base entière des nombres algébriques irrationnels
Autor: Colin Faverjon, Boris Adamczewski
Publikováno v: Comptes Rendus de l'Academie des Sciences. Série IV, Physique, Astronomie
Comptes Rendus de l'Academie des Sciences. Série IV, Physique, Astronomie, Elsevier, 2012, 350, pp.1--4
Resume Nous donnons une minoration effective du nombre de chiffres non nuls parmi les N premiers chiffres du developpement dans une base entiere dʼun nombre algebrique irrationnel.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e20c9dbf99eb0d85e5412de19f76792
https://doi.org/10.1016/j.crma.2011.12.002
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10
Transcendence measures for continued fractions involving repetitive or symmetric patterns
Autor: Boris Adamczewski, Yann Bugeaud
Publikováno v: Journal of the European Mathematical Society
Journal of the European Mathematical Society, European Mathematical Society, 2010, 12, pp.883--914. ⟨10.4171/JEMS/218⟩
There is a long tradition in constructing explicit classes of transcendental continued fractions and especially transcendental continued fractions with bounded partial quotients. By means of the Schmidt Subspace Theorem, existing results were recentl
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ab607f39a2257f59ed2b153f94ef3fb
https://doi.org/10.4171/jems/218
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