Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Boris Adamczewski"'
Publikováno v:
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society, 2021, pp.1. ⟨10.1090/tran/8476⟩
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
https://doi.org/10.1090/tran/8476
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
https://doi.org/10.4171/jems/1244
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⟩
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
https://doi.org/10.1090/tran/7915
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::549834f99c87513f1d34c554a771be1a
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⟩
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
https://hal.science/hal-02991494
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⟩
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
https://hal.science/hal-02091793
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⟩
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
https://hal.archives-ouvertes.fr/hal-02091783
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
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
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
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
https://doi.org/10.1016/j.crma.2011.12.002
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⟩
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
https://doi.org/10.4171/jems/218