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arxiv: 1606.03378 · v1 · pith:3FN4SRARnew · submitted 2016-06-09 · 🧮 math.NT

Sur la variation totale de la suite des parties fractionnaires des quotients d'un nombre r{\'e}el positif par les nombres entiers naturels cons{\'e}cutifs

classification 🧮 math.NT
keywords quotientsvariationasymptoticconsconsecutivecutifsentiersformula
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We give an asymptotic formula for the total variation of the sequence of fractional parts of the quotients of a positive real number by the consecutive natural numbers.

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