On the distribution of r-tuples of squarefree numbers in short intervals
classification
🧮 math.NT
keywords
shortintervalnumbersr-tuplessquarefreeasymptoticbiggercannot
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We cosider the number of r-tuples of squarefree numbers in a short interval. We prove that it cannot be much bigger than the expected value and we also estabish an asymptotic formula if the interval is not very short.
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