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Suites digitales et suites k-régulières

Abstract : We study summatory functions of digital sequences. These sequences are obtained by "travelling a window" on the base-q expansion of integers. They form a subclass of q-regular sequences. The asymptotic behavior of these summatory functions is made precise, showing in particular the occurrence of a "fractal" oscillation that involves a continuous and nowhere differentiable function. In the last part we study Cantor-like sequences of integers missing some digits in a given base.
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https://tel.archives-ouvertes.fr/tel-00845511
Contributor : Emmanuel Cateland <>
Submitted on : Wednesday, July 17, 2013 - 11:56:20 AM
Last modification on : Thursday, January 11, 2018 - 6:21:22 AM
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Emmanuel Cateland. Suites digitales et suites k-régulières. Théorie des nombres [math.NT]. Université Sciences et Technologies - Bordeaux I, 1992. Français. ⟨tel-00845511⟩

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