Sur certaines \'equations fonctionnelles approch\'ees, li\'ees \'a la transformation de Gauss

Authors :: Bruno Martin
Michel Balazard
Institut de Mathématiques de Marseille (I2M)
Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)
Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville (LMPA)
Université du Littoral Côte d'Opale (ULCO)
Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)
Source :: Aequationes Mathematicae, Aequationes Mathematicae, 2019, 93 (3), pp.563-585. ⟨10.1007/s00010-018-0594-z⟩, Aequationes Mathematicae, Springer Verlag, 2019, 93 (3), pp.563-585. ⟨10.1007/s00010-018-0594-z⟩
Publication Year :: 2018
Abstract: In the line of classical work by Hardy, Littlewood and Wilton, we study a class of functional equations involving the Gauss transformation from the theory of continued fractions. This allows us to reprove, among others, a convergence criterion for a diophantine series considered by Chowla, and to give additional information about the sum of this series.<br />Comment: in French. Aequationes Mathematicae, Springer Verlag, A para\^itre

Language :: French
ISSN :: 00019054 and 14208903
Database :: OpenAIRE
Journal :: Aequationes Mathematicae, Aequationes Mathematicae, 2019, 93 (3), pp.563-585. ⟨10.1007/s00010-018-0594-z⟩, Aequationes Mathematicae, Springer Verlag, 2019, 93 (3), pp.563-585. ⟨10.1007/s00010-018-0594-z⟩
Accession number :: edsair.doi.dedup.....a6320aea34ee2134d70c7f174ba41dee

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