Zobrazeno 1 - 10
of 155
pro vyhledávání: '"Adamczewski, Boris"'
Autor:
Adamczewski, Boris, Faverjon, Colin
Publikováno v:
Comptes Rendus. Mathématique, Vol 361, Iss G6, Pp 1011-1028 (2023)
In a recent work [3], the authors established new results about general linear Mahler systems in several variables from the perspective of transcendental number theory, such as a multivariate extension of Nishioka’s theorem. Working with functions
Externí odkaz:
https://doaj.org/article/f816a44e54f740f6bb36bc85fab351c4
Autor:
Faverjon, Colin, Adamczewski, Boris
This note is an addendum to the paper ''Mahler's method in several variables and finite automata''. It strengthens part (i) of Theorem 1.1 of the aforementioned paper.
Externí odkaz:
http://arxiv.org/abs/2407.18578
We provide a new proof of the multivariate version of Christol's theorem about algebraic power series with coefficients in finite fields, as well as of its extension to perfect ground fields of positive characteristic obtained independently by Denef
Externí odkaz:
http://arxiv.org/abs/2306.02640
Autor:
Adamczewski, Boris, Faverjon, Colin
We prove that all algebraic relations over $\overline{\mathbb Q}$ between values of Siegel's $E$-functions at some non-zero algebraic point have a functional source, in that they can be obtained as degeneration of $\delta$-algebraic relations over $\
Externí odkaz:
http://arxiv.org/abs/2303.05997
Autor:
Adamczewski, Boris, Faverjon, Colin
In a recent work [3], the authors established new results about general linear Mahler systems in several variables from the perspective of transcendental number theory, such as a multivariate extension of Nishioka's theorem. Working with functions of
Externí odkaz:
http://arxiv.org/abs/2210.14528
Autor:
Adamczewski, Boris, Konieczny, Jakub
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:
http://arxiv.org/abs/2203.10814
Autor:
Adamczewski, Boris, Faverjon, Colin
We develop a theory of linear Mahler systems in several variables from the perspective of transcendence and algebraic independence, which also includes the possibility of dealing with several systems associated with sufficiently independent matrix tr
Externí odkaz:
http://arxiv.org/abs/2012.08283
Publikováno v:
Journal of the European Mathematical Society (JEMS). Vol. 26, (2024), no. 5, p. 1899-1932
We consider pairs of automorphisms $(\phi,\sigma)$ acting on fields of Laurent or Puiseux series: pairs of shift operators $(\phi\colon x\mapsto x+h_1, \sigma\colon x\mapsto x+h_2)$, of $q$-difference operators $(\phi\colon x\mapsto q_1x,\ \sigma\col
Externí odkaz:
http://arxiv.org/abs/2010.09266
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:
http://arxiv.org/abs/2009.14773
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:
http://arxiv.org/abs/2003.03429