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Your search keyword '"[MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]"' showing total 4 results
Start Over Descriptor "[MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]" Publisher institute of mathematics, polish academy of sciences
4 results on '"[MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]"'

1. On a question of Mendès France on normal numbers

Author

Manfred G. Madritsch, Verónica Becher, Universidad de Buenos Aires [Buenos Aires] (UBA), Institut Élie Cartan de Lorraine (IECL), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), The first author is supported by grant STIC-Amsud 20-STIC-06 and PICT-2018-02315., The second author is supported by project ANR-18-CE40-0018 funded by the French National Research Agency., ANR-18-CE40-0018,EST,Représentations, systèmes dynamiques et pavages(2018), Madritsch, Manfred, and APPEL À PROJETS GÉNÉRIQUE 2018 - Représentations, systèmes dynamiques et pavages - - EST2018 - ANR-18-CE40-0018 - AAPG2018 - VALID

Subjects
Algebra and Number Theory, Mathematics - Number Theory, 11K16, 11J70, MSC2020: 11K16, 11J70, [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
Abstract

In 2008 or earlier, Michel Mend\`es France asked for an instance of a real number $x$ such that both $x$ and $1/x$ are simply normal to a given integer base $b$. We give a positive answer to this question by constructing a number $x$ such that both $x$ and its reciprocal $1/x$ are continued fraction normal as well as normal to all integer bases greater than or equal to $2$. Moreover, $x$ and $1/x$ are both computable., Comment: 15 pages. arXiv admin note: text overlap with arXiv:1704.03622

Published
2022
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2. Points de hauteur bornée sur les variétés de drapeaux en caractéristique finie

Author

Emmanuel Peyre, Arxiv, Import, Institut Fourier (IF ), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019]), Institut Fourier (IF), and Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)

Subjects
Pure mathematics, Field (mathematics), 14G05, 14M15, 01 natural sciences, Mathematics - Algebraic Geometry, symbols.namesake, 0103 physical sciences, Eisenstein series, FOS: Mathematics, MSC 4G05, 14M15, Generalized flag variety, Number Theory (math.NT), 0101 mathematics, Algebraic Geometry (math.AG), Quotient, Mathematics, Algebra and Number Theory, Function field of an algebraic variety, Mathematics - Number Theory, 010102 general mathematics, Mathematical analysis, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], Algebraic number field, [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], Riemann zeta function, Algebraic group, symbols, [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], 010307 mathematical physics, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
Abstract

International audience; The aim of this paper is to apply the work of Morris on Eisenstein series over global function fields to the study of the asymptotic behavior of the points of bounded height on a generalized flag variety defined as the quotient of a semi-simple algebraic group by a reduced parabolic subgroup over such a field. The formula obtained for the height zeta function has an interpretation similar to the one known over a number field.

Published
2012
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3. On the zeros of linear recurrence sequences

Author

Francesco Amoroso, Evelina Viada, Laboratoire de Mathématiques Nicolas Oresme (LMNO), Centre National de la Recherche Scientifique (CNRS)-Université de Caen Normandie (UNICAEN), Normandie Université (NU)-Normandie Université (NU), Department of Mathematics [Basel], University of Basel (Unibas), and Amoroso, Francesco

Subjects
Discrete mathematics, Algebra and Number Theory, 010102 general mathematics, Recurrence sequence, 010103 numerical & computational mathematics, 0101 mathematics, 16. Peace & justice, 01 natural sciences, [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT], Mathematics, Exponential function
Abstract

International audience; We improve by one exponential W. M. Schmidt's estimate for the Skolem-Mahler-Lech theorem on the number of arithmetic progressions describing the zeros of a linear recurrence sequence.

Published
2011
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4. Non-converging continued fractions related to the Stern diatomic sequence

Author

Boris Adamczewski, Adamczewski, Boris, Institut Camille Jordan [Villeurbanne] (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université Jean Monnet [Saint-Étienne] (UJM)-Institut National des Sciences Appliquées de Lyon (INSA Lyon), and Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
Pure mathematics, Algebra and Number Theory, 010102 general mathematics, 010103 numerical & computational mathematics, 01 natural sciences, Diatomic molecule, [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], Algebra, Stern, 0101 mathematics, ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT], Sequence (medicine), Mathematics
Abstract

International audience

Published
2010
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