Sur la variation quadratique totale de la suite des parties fractionnaires des quotients d'un nombre r\'eel positif par les nombres entiers naturels cons\'ecutifs
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🧮 math.NT
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quotientsvariationasymptoticconsconsecutiveecutifsentiersformula
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We give an asymptotic formula for the quadratic 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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